<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">ICA</journal-id><journal-title-group><journal-title>Intelligent Control and Automation</journal-title></journal-title-group><issn pub-type="epub">2153-0653</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/ica.2014.54021</article-id><article-id pub-id-type="publisher-id">ICA-50475</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Computer Science&amp;Communications</subject><subject> Engineering</subject><subject> Physics&amp;Mathematics</subject></subj-group></article-categories><title-group><article-title>
 
 
  Application of Fuzzy Optimization Method in Decision-Making for Personnel Selection
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>asuma</surname><given-names>Mammadova</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Zarifa</surname><given-names>Jabrayilova</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>Institute of Information Technology of Azerbaijan National Academy of Science, Baku, Azerbaijan</addr-line></aff><author-notes><corresp id="cor1">* E-mail:<email>depart15@iit.ab.az(AM)</email>;<email>depart15@iit.ab.az(ZJ)</email>;</corresp></author-notes><pub-date pub-type="epub"><day>15</day><month>10</month><year>2014</year></pub-date><volume>05</volume><issue>04</issue><fpage>190</fpage><lpage>204</lpage><history><date date-type="received"><day>11</day>	<month>September</month>	<year>2014</year></date><date date-type="rev-recd"><day>5</day>	<month>October</month>	<year>2014</year>	</date><date date-type="accepted"><day>18</day>	<month>October</month>	<year>2014</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  The paper describes the necessity of application of intelligent technologies to support decisions of more objective problems in human resource management. In this paper, we describe the methodology for personnel selection problem for the vacancy with regard to the importance and nonequivalence of numerous indicators characterizing the alternatives. The specific features of the selection problem are highlighted, immersing the problem into a fuzzy environment. A fuzzy multicriterial model of the personnel selection problem is proposed. A technique of order preference by similarity to ideal solition (TOPSIS), was applied for evaluation and regulation of alternatives. This technique is based on criteria of qualitative character, which are hierarchically structured by multiple experts to intellectually support decisions made in personnel selection problem. Using TOPSIS method and generated criteria system an experiment was conducted for evaluation of the candidates during solution of hiring problems. The obtained and reviewed results were compared with results obtained using in reality.
 
</p></abstract><kwd-group><kwd>Support Decision</kwd><kwd> Human Resource Management</kwd><kwd> Personnel Selection Problem</kwd><kwd> Fuzzy  Multicriterial Model</kwd><kwd> Criteria Coefficients</kwd><kwd> Fuzzy Number</kwd><kwd> TOPSIS Method</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>In the transition to knowledge-based economy, ensuring effective performance and competitiveness of the or- ganization (enterprises, companies, firms, etc.) requires increased attention to the personnel, i.e. human factor. Employees of the organizations are considered as the main strategic resource, ensuring its performance and achievements of its objectives. According to this concept, the staff becomes one of the main resources of the or- ganization and the necessary funds must be invested to ensure its proper management and optimal conditions for its development [<xref ref-type="bibr" rid="scirp.50475-ref1">1</xref>] .</p><p>The concept basis of personnel management constitutes an increasing role of the worker’s individuality, his knowledge of motivational attitudes, and his ability to shape and direct them in accordance with the challenges facing the organization. Intelligent capital occupies a special position among other assets and requires specific approaches to the management perspective [<xref ref-type="bibr" rid="scirp.50475-ref2">2</xref>] . Evaluation of intelligent capital of the organization is needed to determine its effectiveness and growth factors, as well as to make decisions on the advisability of investment in this resource.</p><p>Objectives of human resource management (HRM) are the basis of personnel policy. The correct solution to these problems, making objective and transparent decisions on HRM allows the organization to achieve its global goals [<xref ref-type="bibr" rid="scirp.50475-ref3">3</xref>] [<xref ref-type="bibr" rid="scirp.50475-ref4">4</xref>] . In general, today, an effective HRM becomes the strategy of the company. In this case, the funds invested in the development of human resources, transform into an investment, not expenditure [<xref ref-type="bibr" rid="scirp.50475-ref5">5</xref>] . The changes, occurred in the labor market, require major changes in the relationship with employees, in the policy of their recruitment, retention and motivation. In this regard, human resource management at the professional level has become a strong modern means used in HR. Fundamentally new attitude towards the personnel as valuable resource of the organization actualizes the importance of developing new conceptual approaches and technolo- gies for HRM. Therefore, in recent years, computer technology is increasingly used for the HRM problem solu- tions.</p><p>Thus, to make more objective decisions regarding personnel planning, selection, recruitment, adaptation, fir- ing, promotion, development, training and motivation of personnel the decision-maker (DM) must evaluate and take into account the information in each case, that characterizes the applicant, his interests, potential impacts and results. Essential factor for the quality of personnel management is its assessment using competencies. The problems solved in the field of HRM are complex and varied. They are united by the fact that the finite number of evaluated objects is used as the raw data, and these objects are characterized by a set of diverse features, i.e. these tasks are multicriterial, and many factors should be taken into account, many influences, preferences, in- terests and consequences, characterizing alternatives should be evaluated [<xref ref-type="bibr" rid="scirp.50475-ref6">6</xref>] - [<xref ref-type="bibr" rid="scirp.50475-ref8">8</xref>] .</p><p>Volume, quantitative and qualitative nature, complexity and contradictions of the information flow to be reached to the decision-makers, as well as the need to address the interrelationship of numerous factors, dynamic situation created difficulties in decision-making on human resource management. To overcome these difficulties, and consequently, more effective HRM of the organization the application of intelligent decision support tech- nologies seems appropriate [<xref ref-type="bibr" rid="scirp.50475-ref7">7</xref>] - [<xref ref-type="bibr" rid="scirp.50475-ref9">9</xref>] .</p><p>The following problems belong to the HRM problems that are most frequently met in practice [<xref ref-type="bibr" rid="scirp.50475-ref4">4</xref>] [<xref ref-type="bibr" rid="scirp.50475-ref10">10</xref>] : selec- tion of applicant on a vacant position; compliance of workers to requirements of a workplace, a position; forma- tion of a personnel reserve and planning of vocational advancement, career; selection of people on key positions in operation of business; awarding, compensation of employees etc.</p><p>In this paper, we describe the methodology for personnel selection problem for the vacancy with regard to the importance and nonequivalence of numerous indicators characterizing the alternatives (candidates applying for the position).</p></sec><sec id="s2"><title>2. Personnel Selection Problem</title><p>Personnel selection often acts the most important role for controlling the human source and quality in HRM [<xref ref-type="bibr" rid="scirp.50475-ref4">4</xref>] [<xref ref-type="bibr" rid="scirp.50475-ref11">11</xref>] [<xref ref-type="bibr" rid="scirp.50475-ref12">12</xref>] . Effective employee selection is a critical component of a successful organization. Personnel selection is the process of collecting and evaluating information about individuals and choosing those who match the qua- lifications needed to perform a predefined job in the best way [<xref ref-type="bibr" rid="scirp.50475-ref13">13</xref>] . This process plays a determining role in HRM and is crucial to the success of an organization.</p><p>References [<xref ref-type="bibr" rid="scirp.50475-ref14">14</xref>] and [<xref ref-type="bibr" rid="scirp.50475-ref15">15</xref>] reviewed the personnel selection studies and found that the several main factors in- cluding change in organizations, change in work, change in personnel, change in the society, change of laws, and change in marketing have influenced personnel selection. In literature, there are a number of studies which use heuristic methods for employee selection. A fuzzy MCDM framework based on the concepts of ideal and anti-ideal solutions for the most appropriate candidate is presented in [<xref ref-type="bibr" rid="scirp.50475-ref16">16</xref>] . Also, a fuzzy number ranking me- thod by metric distance for personnel selection problem was proposed in [<xref ref-type="bibr" rid="scirp.50475-ref17">17</xref>] and a personnel selection system based on fuzzy AHP was developed in [<xref ref-type="bibr" rid="scirp.50475-ref18">18</xref>] .</p><p>In addition, researchers used fuzzy technique for order preference by similarity to ideal solition (TOPSIS) based on the veto threshold for ranking job applicants [<xref ref-type="bibr" rid="scirp.50475-ref19">19</xref>] - [<xref ref-type="bibr" rid="scirp.50475-ref22">22</xref>] .</p><p>Recently, owing to the advancements in information technology, researchers have developed decision support systems and expert systems to improve the outcomes of HRM [<xref ref-type="bibr" rid="scirp.50475-ref23">23</xref>] [<xref ref-type="bibr" rid="scirp.50475-ref24">24</xref>] .</p><p>A model to design an expert system for effective selection and appointment of the job applicants is developed in [<xref ref-type="bibr" rid="scirp.50475-ref25">25</xref>] . The applications of expert system or decision support systems on personnel selection and recruitment are increasing [<xref ref-type="bibr" rid="scirp.50475-ref11">11</xref>] [<xref ref-type="bibr" rid="scirp.50475-ref12">12</xref>] [<xref ref-type="bibr" rid="scirp.50475-ref26">26</xref>] . In this paper, the description of fuzzy decision-making support method in the solu- tion of employment problems is given, and comparison of the results obtained by this method application and the results obtained by real use of approach are presented hereunder.</p><p>Therefore, the goal of personnel selection is applying a valid and effective method to reduce the risks of hir- ing an unsuitable employee, and increase the opportunities to find an eligible employee who can enhance the productivity of the organization [<xref ref-type="bibr" rid="scirp.50475-ref4">4</xref>] [<xref ref-type="bibr" rid="scirp.50475-ref27">27</xref>] . In other words, businesses find eligible employees meet the require- ments of organization and occupation from mass job applicants through effective personnel selection methods.</p><p>The technique for the personnel selection proposed by the authors in this paper has the following advantages: 1) allows the use of both qualitative and quantitative data; 2) removes the limit on the number of criteria and the number of experts; 3) takes into account the hierarchical structure of criteria. The main advantage of the article is to carry out the step calculation and allowing the comparison of experimental results with real data.</p></sec><sec id="s3"><title>3. Conceptual Model of the Personnel Selection Problem</title><sec id="s3_1"><title>3.1. The Specific Features of the Personnel Selection Problem</title><p>The problem of personnel selection for the position is classified as semi-structured tasks, which is traditionally reduced to decision-making [<xref ref-type="bibr" rid="scirp.50475-ref7">7</xref>] [<xref ref-type="bibr" rid="scirp.50475-ref9">9</xref>] [<xref ref-type="bibr" rid="scirp.50475-ref19">19</xref>] - [<xref ref-type="bibr" rid="scirp.50475-ref24">24</xref>] . The attitude of the decision-maker and preferences (experience, knowledge and intuition) of the experts play an important role in the implementation of such tasks. Intelligence support policy of choice (selection of experts), in this case, is defined by a specific manager―DM, experts in- volved in the evaluation process of alternatives for set of attributes forming the level of satisfaction of alterna- tives criteria and preference relations for each of them, and the estimating problem of the applicants for the posi- tion can be reduced to the adjustment of alternatives in fuzzy initial information.</p><p>Before shifting to the methods of candidates’ selection, it is important to formalize requirements for the posi- tion or workplace of the future employee, based on the development strategy of the organization and characte- ristics of its corporate culture. For selecting the employee, it is necessary to determine the presence or absence of a candidate’s competence, which is needed for the effective performance, i.e. a set of knowledge, skills, abili- ties, social and personal characteristics and behavior of employees, defined with the objectives of the organiza- tion and set for specific situation. Approach based on competences allows one to link a whole HRM: in recruit- ment, career planning, assessment of performance and development in the promising coming years [<xref ref-type="bibr" rid="scirp.50475-ref2">2</xref>] . For se- lecting the candidates, their competence is assessed and compared with the “portrait of an ideal employee”, conveyed by a set of corporate performance at a given workplace [<xref ref-type="bibr" rid="scirp.50475-ref4">4</xref>] [<xref ref-type="bibr" rid="scirp.50475-ref7">7</xref>] [<xref ref-type="bibr" rid="scirp.50475-ref19">19</xref>] - [<xref ref-type="bibr" rid="scirp.50475-ref24">24</xref>] [<xref ref-type="bibr" rid="scirp.50475-ref28">28</xref>] [<xref ref-type="bibr" rid="scirp.50475-ref29">29</xref>] . Note that the com- petence of a person is characterized by a number of factors and indicators, and depending on the fields of pro- fessional activity, profession and profile of the organization, these figures have different relative weights of im- portance [<xref ref-type="bibr" rid="scirp.50475-ref7">7</xref>] [<xref ref-type="bibr" rid="scirp.50475-ref19">19</xref>] - [<xref ref-type="bibr" rid="scirp.50475-ref22">22</xref>] [<xref ref-type="bibr" rid="scirp.50475-ref30">30</xref>] [<xref ref-type="bibr" rid="scirp.50475-ref31">31</xref>] .</p><p>Recently, a new trend in the selection of personnel has been observed, which is expressed in individual re- quirements of the employers for applicants for a certain position, which involves an assessment of the latter one from the standpoint of obligation, desirability and the lack of demand characterizing the indicators with respect to the proposed position. Hence, the figure, which is mandatory according to the preference of one employer for the purposes and needs of another one, may be desirable or even unnecessary [<xref ref-type="bibr" rid="scirp.50475-ref32">32</xref>] .</p><p>Accordingly, as semistructured, the problem of personnel selection is characterized by the following features:</p><p>- multifactorial and multicriteriality;</p><p>- criteria and indicators of qualitative and quantitative nature;</p><p>- the need to consider the views in the evaluation process;</p><p>- hierarchy rate criteria characterizing evaluated object, expressed in the fact that each top-level individual criterion is based on the aggregation of partial criteria.</p><p>These features “immerse” the task of hiring into a fuzzy environment, i.e. into the “medium-Zade”, and cause decision making on the selection of the most suitable candidate for the position in poorly defined fuzzy situation [<xref ref-type="bibr" rid="scirp.50475-ref33">33</xref>] [<xref ref-type="bibr" rid="scirp.50475-ref34">34</xref>] .</p><p>Thus, an evaluation model referring to fuzzy formalism for development of an intellectual system supporting decision making person for realization and reflecting expert knowledge must be proposed (desirability, obliga- tion and unimportance of criteria indicators).</p><p>So, the following must be known for solution of evaluation issue in solution of staff management issues re- quiring intelligent support:</p><p>・ Set of evaluated alternatives:<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x5.png" xlink:type="simple"/></inline-formula>;</p><p>・ Set of criteria characterizing alternatives:<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x6.png" xlink:type="simple"/></inline-formula>;</p><p>・ Set of evaluable indicators characterizing each criteria:<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x7.png" xlink:type="simple"/></inline-formula>;</p><p>・ Value range of each evaluable indicator―<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x8.png" xlink:type="simple"/></inline-formula>;</p><p>・ Expert group participating in evaluation (decision making process)―<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x9.png" xlink:type="simple"/></inline-formula>;</p><p>・ Relations in<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x10.png" xlink:type="simple"/></inline-formula>, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x11.png" xlink:type="simple"/></inline-formula>and E sets―<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x12.png" xlink:type="simple"/></inline-formula>;</p><p>・ Linguistic expressions reflecting the level of relevance and relation of alternatives to criteria indicators―<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x13.png" xlink:type="simple"/></inline-formula>.</p><p>・ Relative relations in same-group indicators and criteria sets―<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x14.png" xlink:type="simple"/></inline-formula>.</p><p>Listed components of selection are united in below relative-set model:<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x15.png" xlink:type="simple"/></inline-formula>.</p><p>Solution of evaluation and selection issue based on this model requires development of a relevant method, which refers to solution methods of multi-criteria issues using fuzzy mathematical formalism for this purpose [<xref ref-type="bibr" rid="scirp.50475-ref33">33</xref>] [<xref ref-type="bibr" rid="scirp.50475-ref35">35</xref>] .</p><p>Current article reviews the application issue of TOPSIS method for evaluation and regulation of alternatives (selected, regulated) evaluated for intellectual support of decisions made in personnel selection issues based on hierarchically structured criteria of qualitative character by multiple experts.</p></sec><sec id="s3_2"><title>3.2. TOPSIS Method</title><p>For the realization of selection issue, the level of relevance and relation of alternatives to criteria indicators, based on conversion of linguistic expressions of quality of our natural language to a fuzzy number (triangle or trapeze) based on proximity to an ideal solution and remoteness from an extremely bad solution traditional are carried out using TOPSIS method allowing discovery of the best solution and ranging of alternatives. In the re- viewed case, trapeze fuzzy number has been used.</p><p>Definition 1. Trapeze fuzzy number membership function is a fuzzy set depicted as below (<xref ref-type="fig" rid="fig1">Figure 1</xref>).</p><p>Trapeze fuzzy number is indicated as <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x16.png" xlink:type="simple"/></inline-formula> quadruple and here<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x17.png" xlink:type="simple"/></inline-formula>―are real numbers.</p><p>Fuzzification of trapeze fuzzy number is defined as below:</p><disp-formula id="scirp.50475-formula507"><label>(1)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-7900345x18.png"  xlink:type="simple"/></disp-formula><fig id="fig1"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref></label><caption><title> Trapeze fuzzy number</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-7900345x19.png"/></fig><p>If <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x20.png" xlink:type="simple"/></inline-formula> in <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x20.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x21.png" xlink:type="simple"/></inline-formula> trapeze fuzzy number, then it converts into a <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x20.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x21.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x22.png" xlink:type="simple"/></inline-formula> triangle fuzzy number.</p><p>While using TOPSIS method, some operations on fuzzy numbers must be paid attention to. Let’s assume that we are given two trapeze fuzzy numbers <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x23.png" xlink:type="simple"/></inline-formula> and<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x23.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x24.png" xlink:type="simple"/></inline-formula>.</p><p>Following extensibility principal must be met for their fuzzy sum, difference and multiplication:</p><disp-formula id="scirp.50475-formula508"><label>(2)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-7900345x25.png"  xlink:type="simple"/></disp-formula><p>Definition 2. Let’s assume that two <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x26.png" xlink:type="simple"/></inline-formula> and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x26.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x27.png" xlink:type="simple"/></inline-formula> trapeze fuzzy numbers are given. The distance between them is calculated as following [<xref ref-type="bibr" rid="scirp.50475-ref28">28</xref>] [<xref ref-type="bibr" rid="scirp.50475-ref36">36</xref>] .</p><disp-formula id="scirp.50475-formula509"><label>(3)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-7900345x28.png"  xlink:type="simple"/></disp-formula><p>If <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x29.png" xlink:type="simple"/></inline-formula> and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x29.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x30.png" xlink:type="simple"/></inline-formula> are similar (same) fuzzy numbers, then<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x29.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x30.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x31.png" xlink:type="simple"/></inline-formula>.</p><p>In order to apply this method, unit quality measuring scale is accepted [<xref ref-type="bibr" rid="scirp.50475-ref7">7</xref>] - [<xref ref-type="bibr" rid="scirp.50475-ref9">9</xref>] , each evaluable criterion indi- cator is graduated in accordance with 7 level quality evaluation degrees and their trapeze fuzzy number conver- sion principal is referred to (<xref ref-type="fig" rid="fig2">Figure 2</xref>).</p><p>Trapeze fuzzy evaluation table of linguistic quality degrees is as following. Based on <xref ref-type="table" rid="table1">Table 1</xref>, a fuzzy number can be found for each linguistic expression.</p><p>For example, the fuzzy number of “medium good” linguistic expression is defined as (5, 6, 7, 8) out of 10 point rating. Then the fuzzification of “medium good” can be demonstrated as following:</p><fig id="fig2"  position="float"><label><xref ref-type="fig" rid="fig2">Figure 2</xref></label><caption><title> Conversion of linguistic expression to fuzzy number based on rating</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/2-7900345x32.png"/></fig><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Conversion of linguistic expression to fuzzy number based on rating</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Linguistic expression</th><th align="center" valign="middle" >Fuzzy number</th></tr></thead><tr><td align="center" valign="middle" >Very poor</td><td align="center" valign="middle" >(0, 0, 1, 2)</td></tr><tr><td align="center" valign="middle" >Poor</td><td align="center" valign="middle" >(1, 2, 2, 3)</td></tr><tr><td align="center" valign="middle" >Medium poor</td><td align="center" valign="middle" >(2, 3, 4, 5)</td></tr><tr><td align="center" valign="middle" >Fair</td><td align="center" valign="middle" >(4, 5, 5, 6)</td></tr><tr><td align="center" valign="middle" >Medium good</td><td align="center" valign="middle" >(5, 6, 7, 8)</td></tr><tr><td align="center" valign="middle" >Good</td><td align="center" valign="middle" >(7, 8, 8, 9)</td></tr><tr><td align="center" valign="middle" >Very good</td><td align="center" valign="middle" >(8, 9, 10, 10)</td></tr></tbody></table></table-wrap><disp-formula id="scirp.50475-formula510"><label>(4)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-7900345x33.png"  xlink:type="simple"/></disp-formula></sec></sec><sec id="s4"><title>4. TOPSIS Method in Solution of Personnel Selection Problem</title><sec id="s4_1"><title>4.1. Problem Statement</title><p>To provide correctness and objectiveness of decisions made in relation with staff management in the organiza- tion, decision options in relevance with each problem statement are defined and evaluation objects―alternatives and characterizing criteria, indicator system defining these criteria is formed, they are evaluated by finding the relevance degree of alternatives to these indicators and depending on this value, decision option related to them (alternatives) is selected. Thus, let’s assume that:</p><p>1.<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x34.png" xlink:type="simple"/></inline-formula>―is a set of evaluated alternatives and the best alternative must be chosen, for example, candidates to be hired in the hiring issue;</p><p>2.<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x35.png" xlink:type="simple"/></inline-formula>―is a set of criteria with different weights relevant to criteria (for example criteria cha- racterizing hired people) and these criteria are also defined based on multiple indicators with different weights;</p><p>3.<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x36.png" xlink:type="simple"/></inline-formula>―evaluable criteria indicators with different weights;</p><p>4.<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x37.png" xlink:type="simple"/></inline-formula>―set of experts evaluating the relevance of alternatives to criteria indicators.</p><p>Objective: evaluation and regulation of alternatives based on linguistic expressions of quality used by the ex- perts reflecting the relevance of alternatives to criteria indicators with different weights.</p></sec><sec id="s4_2"><title>4.2. Solution of the Problem</title><p>Headings, or heads, are organizational devices that guide the reader through your paper. There are two types: component heads and text heads.</p><p>1<sup>st</sup> Step. Referring to methods described in [<xref ref-type="bibr" rid="scirp.50475-ref30">30</xref>] [<xref ref-type="bibr" rid="scirp.50475-ref37">37</xref>] , importance coefficient <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x39.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x39.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x38.png" xlink:type="simple"/></inline-formula> and importance</p><p>coefficients<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x40.png" xlink:type="simple"/></inline-formula>, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x40.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x41.png" xlink:type="simple"/></inline-formula>, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x40.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x41.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x42.png" xlink:type="simple"/></inline-formula>are defined. Later, by referring to hierarchic analysis method, weight-</p><p>weight coefficient of each<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x43.png" xlink:type="simple"/></inline-formula>, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x43.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x44.png" xlink:type="simple"/></inline-formula>, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x43.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x44.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x45.png" xlink:type="simple"/></inline-formula>criteria indicator in generalizing <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x43.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x44.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x45.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x46.png" xlink:type="simple"/></inline-formula> criteria</p><p>is defined.</p><disp-formula id="scirp.50475-formula511"><label>. (5)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-7900345x47.png"  xlink:type="simple"/></disp-formula><p>Here:</p><disp-formula id="scirp.50475-formula512"><label>. (6)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-7900345x48.png"  xlink:type="simple"/></disp-formula><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x49.png" xlink:type="simple"/></inline-formula>―is the general number of criteria indicators.</p><p>2<sup>nd</sup> Step. Relevance level of alternatives to criteria indicators are expressed in accordance with seven quality levels of our language (very poor, poor, medium poor, fair, medium good, good, very good). Each such expres-</p><p>sion is a quality level forming relevance―<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x50.png" xlink:type="simple"/></inline-formula>of <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x50.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x51.png" xlink:type="simple"/></inline-formula> evaluable criteria indicator of <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x50.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x51.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x52.png" xlink:type="simple"/></inline-formula> alternative, and is expressed in relevant trapeze <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x50.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x51.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x52.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x53.png" xlink:type="simple"/></inline-formula> with a fuzzy number. For example, if relevance of</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x54.png" xlink:type="simple"/></inline-formula>alternative to any <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x54.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x55.png" xlink:type="simple"/></inline-formula> criteria is evaluated by expert <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x54.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x55.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x56.png" xlink:type="simple"/></inline-formula> as “good”, then, its conversion to a fuzzy number in trapeze is expressed as “good”<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x54.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x55.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x56.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x57.png" xlink:type="simple"/></inline-formula>, and if evaluated as “very good” is expressed as, “veru good”;<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x54.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x55.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x56.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x57.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x58.png" xlink:type="simple"/></inline-formula>.</p><p>Linguistic expression of relevance of alternatives to criteria indicators by experts result in <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x59.png" xlink:type="simple"/></inline-formula> ma- trix with <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x59.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x60.png" xlink:type="simple"/></inline-formula> dimensions.</p><p>3<sup>rd</sup> Step. Based on individual evaluation of experts―<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x61.png" xlink:type="simple"/></inline-formula>, single-generalized matrix referring to</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x62.png" xlink:type="simple"/></inline-formula>number of matrixes defined by trapeze fuzzy numbers expressing relevance of <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x62.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x63.png" xlink:type="simple"/></inline-formula> alternative to <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x62.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x63.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x64.png" xlink:type="simple"/></inline-formula> crite- ria is defined, i.e.:</p><disp-formula id="scirp.50475-formula513"><label>(7)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-7900345x65.png"  xlink:type="simple"/></disp-formula><p>Here:</p><disp-formula id="scirp.50475-formula514"><label>(8)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-7900345x66.png"  xlink:type="simple"/></disp-formula><p>As a result we obtain a <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x67.png" xlink:type="simple"/></inline-formula> dimensional <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x67.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x68.png" xlink:type="simple"/></inline-formula> matrix.</p><p>4<sup>th</sup> Step. <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x69.png" xlink:type="simple"/></inline-formula>fuzzy number matrix is normalized. For this, values with different</p><p>dimensions in <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x70.png" xlink:type="simple"/></inline-formula> interval are converted into fuzzy numbers using Hsu and Chen method [<xref ref-type="bibr" rid="scirp.50475-ref38">38</xref>] . Based on this method, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x70.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x71.png" xlink:type="simple"/></inline-formula>is defined, elements of normalized matrix are defined using following formulas:</p><disp-formula id="scirp.50475-formula515"><label>(9)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-7900345x72.png"  xlink:type="simple"/></disp-formula><p>5<sup>th</sup> Step. All elements of normalized <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x73.png" xlink:type="simple"/></inline-formula> matrix are multiplied by weights of crite- ria indicators. For this, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x73.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x74.png" xlink:type="simple"/></inline-formula>phrase from condition (1) is used. Let’s define fuzzy number</p><p>matrix by consideration of weight coefficients of criteria indicators:<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x75.png" xlink:type="simple"/></inline-formula>.</p><p>Here:</p><disp-formula id="scirp.50475-formula516"><label>(10)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-7900345x76.png"  xlink:type="simple"/></disp-formula><p>6<sup>th</sup> Step. On grounds of existing alternatives, trapeze fuzzy numbers of<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x77.png" xlink:type="simple"/></inline-formula>―ideal solution option (ISO) in</p><p>accordance with each criteria indicator is calculated. For this, each <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x78.png" xlink:type="simple"/></inline-formula> is selected based on <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x78.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x79.png" xlink:type="simple"/></inline-formula> fuzzy number in accordance with <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x78.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x79.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x80.png" xlink:type="simple"/></inline-formula> criteria indicator of each <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x78.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x79.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x80.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x81.png" xlink:type="simple"/></inline-formula> alternative</p><p>and as a result, following single matrix based on fuzzy number relevant to criteria indicators of ideal solution option is determined:</p><disp-formula id="scirp.50475-formula517"><label>. (11)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-7900345x82.png"  xlink:type="simple"/></disp-formula><p>7<sup>th</sup> Step. On grounds of existing alternatives, trapeze fuzzy numbers of<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x83.png" xlink:type="simple"/></inline-formula>―extremely bad solution (EBS) in</p><p>accordance with each criteria indicator is calculated. For this, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x84.png" xlink:type="simple"/></inline-formula>based on <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x84.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x85.png" xlink:type="simple"/></inline-formula></p><p>―fuzzy number in accordance with <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x86.png" xlink:type="simple"/></inline-formula> criteria indicator of each <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x86.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x87.png" xlink:type="simple"/></inline-formula> alternative is found and follow- ing single matrix is developed:</p><disp-formula id="scirp.50475-formula518"><label>. (12)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-7900345x88.png"  xlink:type="simple"/></disp-formula><p>8<sup>th</sup> Step. At this stage, fuzzy number matrix reflecting proximity of alternatives to ideal solution option is de- veloped.</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x89.png" xlink:type="simple"/></inline-formula>of each <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x89.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x90.png" xlink:type="simple"/></inline-formula> alternative is defined based on fuzzy number (2) formula reflecting</p><p>proximity of any <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x91.png" xlink:type="simple"/></inline-formula> criteria indicator to ISO as following:</p><disp-formula id="scirp.50475-formula519"><label>(13)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-7900345x92.png"  xlink:type="simple"/></disp-formula><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x93.png" xlink:type="simple"/></inline-formula>ISO proximity matrix with <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x93.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x94.png" xlink:type="simple"/></inline-formula> dimensions reflecting obtained results is developed.</p><p>9<sup>th</sup> Step. Fuzzy number reflecting remoteness of alternatives to EBS is found.</p><disp-formula id="scirp.50475-formula520"><label>(14)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-7900345x95.png"  xlink:type="simple"/></disp-formula><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x96.png" xlink:type="simple"/></inline-formula>EBS remoteness matrix with <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x96.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x97.png" xlink:type="simple"/></inline-formula> dimensions reflecting obtained results is developed.</p><p>10<sup>th</sup> Step. Proximity of each alternative of all criteria to ISO is calculated with following formula:</p><disp-formula id="scirp.50475-formula521"><label>(15)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-7900345x98.png"  xlink:type="simple"/></disp-formula><p>11<sup>th</sup> Step. Remoteness of each alternative from EPS in accordance with all criteria is calculated with follow- ing formula:</p><disp-formula id="scirp.50475-formula522"><label>(16)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-7900345x99.png"  xlink:type="simple"/></disp-formula><p>12<sup>th</sup> Step. Based on values of proximity of alternatives to ISO and their remoteness from EBS, numerical value of their relevance to ideal solution is calculated and normalized.</p><disp-formula id="scirp.50475-formula523"><label>(17)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/2-7900345x100.png"  xlink:type="simple"/></disp-formula><p>Regulated order of obtained results from maximum to minimum (or vice versa) is relevant to regulated order of alternatives from good to bad (or vice versa).</p></sec></sec><sec id="s5"><title>5. Application of TOPSIS Method for Decision-Making in Personnel Selection Problem</title><p>Referring to fuzzy logic formalism, fuzzy TOPSIS method was used for evaluation and selection of alternatives in realization of decision making support system in hiring issues of candidates. For realization of the system, primarily a general criteria system is formed in order to evaluate hired employees to the plant. This system con- tains criteria and characterizing indicators allowing evaluating candidates hiring to any department or position at the plant.</p><p>Candidate evaluation issue for hiring to HRM department of the plant has been reviewed during conducted experiment. For this purpose, following criteria and criteria indicators were determined from the general criteria system with participation of experts for appointment to the position:</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x101.png" xlink:type="simple"/></inline-formula>―science and education criteria and indicators characterizing it:</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x102.png" xlink:type="simple"/></inline-formula>―relevance of completed education to corresponding job;</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x103.png" xlink:type="simple"/></inline-formula>―character of investigator.</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x104.png" xlink:type="simple"/></inline-formula>―behavior and appearance criteria and indicators characterizing it:</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x105.png" xlink:type="simple"/></inline-formula>―balanced;</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x106.png" xlink:type="simple"/></inline-formula>―well-conducted and polite.</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x107.png" xlink:type="simple"/></inline-formula>―personal psychological criteria and indicators characterizing it:</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x108.png" xlink:type="simple"/></inline-formula>―hardworking, industrious;</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x109.png" xlink:type="simple"/></inline-formula>―creative;</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x110.png" xlink:type="simple"/></inline-formula>―loyal;</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x111.png" xlink:type="simple"/></inline-formula>―high intelligence.</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x112.png" xlink:type="simple"/></inline-formula>―functional activity criteria and indicators characterizing it:</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x113.png" xlink:type="simple"/></inline-formula>―work capability;</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x114.png" xlink:type="simple"/></inline-formula>―learning capability.</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x115.png" xlink:type="simple"/></inline-formula>―medical criteria and indicators characterizing it:</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x116.png" xlink:type="simple"/></inline-formula>―physical health;</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x117.png" xlink:type="simple"/></inline-formula>―spiritual and psychological health.</p><p>Results obtained from evaluation of these indicators―will define the value of chance―<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x118.png" xlink:type="simple"/></inline-formula>-hiring chance of the candidate.</p><p>Result to be obtained based on fuzzy TOPSIS method-<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x119.png" xlink:type="simple"/></inline-formula>, will express the hiring chance of <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x119.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x120.png" xlink:type="simple"/></inline-formula><sub> </sub>candi- date as a value defined in <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x119.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x120.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x121.png" xlink:type="simple"/></inline-formula> interval. Depending on this value, experts pre-form following hiring decision options:</p><p>1. If<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x122.png" xlink:type="simple"/></inline-formula>, then this candidate decidedly cannot be hired;</p><p>2. If<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x123.png" xlink:type="simple"/></inline-formula>, hiring of this candidate carries great risk;</p><p>3. If<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x124.png" xlink:type="simple"/></inline-formula>, hiring of this candidate carries a bit of risk;</p><p>4. If<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x125.png" xlink:type="simple"/></inline-formula>, this candidate can be hired;</p><p>5. If<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x126.png" xlink:type="simple"/></inline-formula>, this candidate is unconditionally hired.</p><p>In the next stage, importance coefficients of these criteria and their characterizing indicators relatively to each other are defined, for this objective paired comparison method is referred to, detection of contradictions in ex- perts’ evaluation is reviewed [<xref ref-type="bibr" rid="scirp.50475-ref30">30</xref>] [<xref ref-type="bibr" rid="scirp.50475-ref37">37</xref>] . Based on obtained results, weight coefficients of criteria indicators have been defined in accordance with hierarchic analysis method (<xref ref-type="table" rid="table2">Table 2</xref>).</p><p>Relevance of hiring of 3 candidates to listed criteria indicators has been evaluated in accordance with <xref ref-type="table" rid="table3">Table 3</xref> with participation of 4 experts.</p><p>Based on Formula (3), single trapeze matrix is developed based on individual evaluation of experts. Results of single trapeze fuzzy matrix in accordance with <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x127.png" xlink:type="simple"/></inline-formula> and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x127.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x128.png" xlink:type="simple"/></inline-formula> criteria indicators are provided below (<xref ref-type="table" rid="table4">Table 4</xref>).</p><table-wrap id="table2" ><label><xref ref-type="table" rid="table2">Table 2</xref></label><caption><title> Weight coefficient of criteria indicators</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Criteria</th><th align="center" valign="middle" >Importance coefficients of criteria</th><th align="center" valign="middle" >Criteria indicator</th><th align="center" valign="middle" >Importance coefficients of criteria indicators</th><th align="center" valign="middle" >Weight coefficients of criteria indicators</th></tr></thead><tr><td align="center" valign="middle"  rowspan="2"  ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x129.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle"  rowspan="2"  >0.11</td><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x130.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >0.54</td><td align="center" valign="middle" >0.06</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x131.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.46</td><td align="center" valign="middle" >0.05</td></tr><tr><td align="center" valign="middle"  rowspan="2"  ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x132.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle"  rowspan="2"  >0.08</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x133.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.47</td><td align="center" valign="middle" >0.04</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x134.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.53</td><td align="center" valign="middle" >0.04</td></tr><tr><td align="center" valign="middle"  rowspan="4"  ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x135.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle"  rowspan="4"  >0.4</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x136.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.2</td><td align="center" valign="middle" >0.08</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x137.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.22</td><td align="center" valign="middle" >0.13</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x138.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.26</td><td align="center" valign="middle" >0.10</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x139.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.32</td><td align="center" valign="middle" >0.09</td></tr><tr><td align="center" valign="middle"  rowspan="2"  ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x140.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle"  rowspan="2"  >0.1</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x141.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.63</td><td align="center" valign="middle" >0.06</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x142.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.37</td><td align="center" valign="middle" >0.04</td></tr><tr><td align="center" valign="middle"  rowspan="2"  ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x143.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle"  rowspan="2"  >0.31</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x144.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.35</td><td align="center" valign="middle" >0.11</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x145.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.65</td><td align="center" valign="middle" >0.20</td></tr></tbody></table></table-wrap><table-wrap id="table3" ><label><xref ref-type="table" rid="table3">Table 3</xref></label><caption><title> Evaluation of criteria indicators</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Criteria indicators</th><th align="center" valign="middle" >Alternatives</th><th align="center" valign="middle" >Expert 1</th><th align="center" valign="middle" >Expert 2</th><th align="center" valign="middle" >Expert 3</th><th align="center" valign="middle" >Expert 4</th></tr></thead><tr><td align="center" valign="middle"  rowspan="3"  ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x146.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x147.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >good</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x148.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >fair</td><td align="center" valign="middle" >medium good</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x149.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >good</td></tr><tr><td align="center" valign="middle"  rowspan="3"  ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x150.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x151.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >very good</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x152.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >medium good</td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >medium good</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x153.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >medium</td></tr><tr><td align="center" valign="middle"  rowspan="3"  ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x154.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x155.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >fair</td><td align="center" valign="middle" >medium good</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x156.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >good</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x157.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >very good</td></tr><tr><td align="center" valign="middle"  rowspan="3"  ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x158.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x159.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >medium good</td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >good</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x160.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >very good</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x161.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >good</td></tr><tr><td align="center" valign="middle"  rowspan="3"  ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x162.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x163.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >medium good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >good</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x164.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >very good</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x165.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >good</td></tr><tr><td align="center" valign="middle"  rowspan="3"  ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x166.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x167.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >good</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x168.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >medium good</td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >very good</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x169.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >medium good</td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >medium good</td></tr><tr><td align="center" valign="middle"  rowspan="3"  ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x170.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x171.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >very good</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x172.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >good</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x173.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >fair</td><td align="center" valign="middle" >medium good</td></tr><tr><td align="center" valign="middle"  rowspan="3"  ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x174.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x175.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >fair</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x176.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >good</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x177.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >medium good</td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >good</td></tr><tr><td align="center" valign="middle"  rowspan="3"  ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x178.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x179.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >very good</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x180.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >good</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x181.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >medium good</td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >very good</td></tr><tr><td align="center" valign="middle"  rowspan="3"  ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x182.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x183.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >medium good</td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >medium good</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x184.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >fair</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x185.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >Good</td><td align="center" valign="middle" >good</td></tr><tr><td align="center" valign="middle"  rowspan="3"  ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x186.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x187.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >Good</td><td align="center" valign="middle" >good</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x188.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >medium good</td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >good</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x189.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >very good</td></tr><tr><td align="center" valign="middle"  rowspan="3"  ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x190.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x191.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >Good</td><td align="center" valign="middle" >good</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x192.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >Fair</td><td align="center" valign="middle" >medium good</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x193.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >very good</td><td align="center" valign="middle" >good</td></tr></tbody></table></table-wrap><table-wrap id="table4" ><label><xref ref-type="table" rid="table4">Table 4</xref></label><caption><title> Single trapeze fuzzy matrix in accordance with <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x194.png" xlink:type="simple"/></inline-formula> and <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x194.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x195.png" xlink:type="simple"/></inline-formula> criteria indicators</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Criteria indicators</th><th align="center" valign="middle" >Alternatives</th><th align="center" valign="middle" >Expert 1</th><th align="center" valign="middle" >Expert 2</th><th align="center" valign="middle" >Expert 3</th><th align="center" valign="middle" >Expert 4</th><th align="center" valign="middle" >Generalized single trapeze fuzzy number</th></tr></thead><tr><td align="center" valign="middle"  rowspan="3"  ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x196.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x197.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >(7, 8, 8, 9)</td><td align="center" valign="middle" >(7, 8, 8, 9)</td><td align="center" valign="middle" >(7, 8, 8, 9)</td><td align="center" valign="middle" >(7, 8, 8, 9)</td><td align="center" valign="middle" >(7, 8, 8, 9)</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x198.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >(7, 8, 8, 9)</td><td align="center" valign="middle" >(8, 9, 10, 10)</td><td align="center" valign="middle" >(4, 5, 5, 6)</td><td align="center" valign="middle" >(5, 6, 7, 8)</td><td align="center" valign="middle" >(4, 7, 7.5, 10)</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x199.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >(7, 8, 8, 9)</td><td align="center" valign="middle" >(7, 8, 8, 9)</td><td align="center" valign="middle" >(8, 9, 10, 10)</td><td align="center" valign="middle" >(7, 8, 8, 9)</td><td align="center" valign="middle" >(7, 8.3, 9, 10)</td></tr><tr><td align="center" valign="middle"  rowspan="3"  ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x200.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x201.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >(8, 9, 10, 10)</td><td align="center" valign="middle" >(8, 9, 10, 10)</td><td align="center" valign="middle" >(7, 8, 8, 9)</td><td align="center" valign="middle" >(8, 9, 10, 10)</td><td align="center" valign="middle" >(7, 8.8, 9.5, 10)</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x202.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >(5, 6, 7, 8)</td><td align="center" valign="middle" >(7, 8, 8, 9)</td><td align="center" valign="middle" >(8, 9, 10, 10)</td><td align="center" valign="middle" >(5, 6, 7, 8)</td><td align="center" valign="middle" >(5, 7.3, 8, 10)</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x203.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >(7, 8, 8, 9)</td><td align="center" valign="middle" >(8, 9, 10, 10)</td><td align="center" valign="middle" >(8, 9, 10, 10)</td><td align="center" valign="middle" >(4, 5, 5, 6)</td><td align="center" valign="middle" >(4, 7.8, 8.3, 10)</td></tr></tbody></table></table-wrap><p>Based on (4) formula, single trapeze matrix is formed and all its elements are multiplied by weight coeffi- cients of criteria in accordance with Formula (5) and resultants are given in <xref ref-type="table" rid="table5">Table 5</xref>.</p><p>ISO and EBS single matrixes are developed on existing grounds of alternatives. ISO proximity matrix <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x204.png" xlink:type="simple"/></inline-formula>with <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x204.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x205.png" xlink:type="simple"/></inline-formula> dimensions reflecting the obtained results is given in <xref ref-type="table" rid="table6">Table 6</xref>.</p><p>EBS remoteness proximity <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x206.png" xlink:type="simple"/></inline-formula> with <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x206.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x207.png" xlink:type="simple"/></inline-formula> dimensions reflecting remoteness of alternatives from EBS is</p><p>as following and resultants are given in <xref ref-type="table" rid="table7">Table 7</xref>.</p><p>Numerical value of proximity to ISO, remoteness from EXP and relevance to ideal solution of each alterna- tive in accordance with all criteria is calculated resultants are given in <xref ref-type="table" rid="table8">Table 8</xref>.</p><p>Based on obtained results, the best solution option is <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x208.png" xlink:type="simple"/></inline-formula> alternative and the value of its hiring chance is<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x208.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x209.png" xlink:type="simple"/></inline-formula>. In accordance with decision options of the experts: this candidate can be hired. In accordance with next listing, <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x208.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x209.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x210.png" xlink:type="simple"/></inline-formula>alternative is<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x208.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x209.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x210.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x211.png" xlink:type="simple"/></inline-formula>. And <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x208.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x209.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x210.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x211.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x212.png" xlink:type="simple"/></inline-formula> alternatives equal to <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x208.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x209.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x210.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x211.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x212.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x213.png" xlink:type="simple"/></inline-formula> and their hiring chance value matches the identical decision option: hiring of this candidate can carry a bit of risk.</p></sec><sec id="s6"><title>6. Results</title><p>The proposed approach was foreseen for realization of support system applied to decision-making issues in the employment of applicants within SOCAREF2013<sup>1</sup> grant project. It should be noted that at the moment SOCAR department of human resourses management for applicants evaluation in the enployment issues realization bases on their precise report indexes, expert assessment defined on the bases of quality competition and final results are determined by point system. In order to ground benefits of the approach proposed in the article the results of approach application have been compared with the results of point system application herewith.</p><p>With this purpose let’s look through alternatives decision formation given in <xref ref-type="table" rid="table3">Table 3</xref> that was compiled on the basis of expert evaluation with references to point system.</p><p>For alternatives evaluation on the basis of points system “very good” equals 10 points, “good”―8 points, “medium good”―6 points and “fair”―4 points.</p><p><xref ref-type="table" rid="table9">Table 9</xref> given below is being compiled on the basis of statistic results of evaluation by considered three alter- natives criteria indexes according to <xref ref-type="table" rid="table3">Table 3</xref>.</p><p>According to the statistic results obtained on the basis of point system the correspondence degree of each alternative to the ideal solution (480 points) is defined. In this case the highest point alternative <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x214.png" xlink:type="simple"/></inline-formula> is very good, next is <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x214.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x215.png" xlink:type="simple"/></inline-formula> and the last is <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x214.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x215.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x216.png" xlink:type="simple"/></inline-formula> alternative.</p><p>The decision per each alternative is made according to its ideal sulution correspondence estimate:</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x217.png" xlink:type="simple"/></inline-formula>alternative<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x217.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x218.png" xlink:type="simple"/></inline-formula>―this candidate is unconditionally hired.</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x219.png" xlink:type="simple"/></inline-formula>alternative<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x219.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x220.png" xlink:type="simple"/></inline-formula>―this candidate is unconditionally hired.</p><p><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x221.png" xlink:type="simple"/></inline-formula>alternative<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x221.png" xlink:type="simple"/></inline-formula><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x222.png" xlink:type="simple"/></inline-formula>―this candidate is unconditionally hired.</p><p>The results obtained according to the proposed method are compared with the results of application of point system approach in <xref ref-type="table" rid="table1">Table 1</xref>0 herein:</p><table-wrap id="table5" ><label><xref ref-type="table" rid="table5">Table 5</xref></label><caption><title> Normalized fuzzy number of relevance of alternatives to indicators of criteria</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Criteria indicators</th><th align="center" valign="middle" >Alternatives</th><th align="center" valign="middle" >Normalized single trapeze fuzzy number</th><th align="center" valign="middle" >Weight coefficients of <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x224.png" xlink:type="simple"/></inline-formula></th><th align="center" valign="middle" >Normalized fuzzy number of relevance of alternatives</th></tr></thead><tr><td align="center" valign="middle"  rowspan="3"  ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x225.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x226.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >(0.7, 0.8, 0.8, 0.9)</td><td align="center" valign="middle"  rowspan="3"  >0.06</td><td align="center" valign="middle" >0.042, 0.048, 0.048, 0.054</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x227.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >(0.4, 0.7, 0.75, 1)</td><td align="center" valign="middle" >0.024, 0.042, 0.045, 0.06</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x228.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >(0.7, 0.83, 0.9, 1)</td><td align="center" valign="middle" >0.042, 0.05, 0.054, 0.06</td></tr><tr><td align="center" valign="middle"  rowspan="3"  ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x229.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x230.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >(0.7, 0.88, 0.95, 1)</td><td align="center" valign="middle"  rowspan="3"  >0.05</td><td align="center" valign="middle" >0.035, 0.044, 0.098, 0.05</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x231.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >(0.5, 0.73, 0.8, 1)</td><td align="center" valign="middle" >0.025, 0.037, 0.04, 0.05</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x232.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >(0.4, 0.78, 0.83, 1)</td><td align="center" valign="middle" >0.02, 0.039, 0.042, 0.05</td></tr></tbody></table></table-wrap><table-wrap id="table6" ><label><xref ref-type="table" rid="table6">Table 6</xref></label><caption><title> ISO proximity matrix<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x233.png" xlink:type="simple"/></inline-formula></title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Criteria indicators</th><th align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x234.png" xlink:type="simple"/></inline-formula></th><th align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x235.png" xlink:type="simple"/></inline-formula></th><th align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x236.png" xlink:type="simple"/></inline-formula></th></tr></thead><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x237.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >0.45</td><td align="center" valign="middle" >0.51</td><td align="center" valign="middle" >0.4</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x238.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.34</td><td align="center" valign="middle" >0.49</td><td align="center" valign="middle" >0.49</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x239.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >0.57</td><td align="center" valign="middle" >0.36</td><td align="center" valign="middle" >0.4</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x240.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.67</td><td align="center" valign="middle" >0.27</td><td align="center" valign="middle" >0.35</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x241.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >0.48</td><td align="center" valign="middle" >0.37</td><td align="center" valign="middle" >0.37</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x242.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.56</td><td align="center" valign="middle" >0.49</td><td align="center" valign="middle" >0.43</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x243.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >0.37</td><td align="center" valign="middle" >0.4</td><td align="center" valign="middle" >0.47</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x244.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.5</td><td align="center" valign="middle" >0.39</td><td align="center" valign="middle" >0.37</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x245.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >0.37</td><td align="center" valign="middle" >0.39</td><td align="center" valign="middle" >0.29</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x246.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.49</td><td align="center" valign="middle" >0.49</td><td align="center" valign="middle" >0.39</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x247.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >0.39</td><td align="center" valign="middle" >0.47</td><td align="center" valign="middle" >0.27</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x248.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.4</td><td align="center" valign="middle" >0.6</td><td align="center" valign="middle" >0.33</td></tr></tbody></table></table-wrap><table-wrap id="table7" ><label><xref ref-type="table" rid="table7">Table 7</xref></label><caption><title> EBS remoteness proximity<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x249.png" xlink:type="simple"/></inline-formula></title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Criteria indicators</th><th align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x250.png" xlink:type="simple"/></inline-formula></th><th align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x251.png" xlink:type="simple"/></inline-formula></th><th align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x252.png" xlink:type="simple"/></inline-formula></th></tr></thead><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x253.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >0.55</td><td align="center" valign="middle" >0.56</td><td align="center" valign="middle" >0.68</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x254.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.7</td><td align="center" valign="middle" >0.6</td><td align="center" valign="middle" >0.6</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x255.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >0.52</td><td align="center" valign="middle" >0.68</td><td align="center" valign="middle" >0.66</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x256.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.53</td><td align="center" valign="middle" >0.65</td><td align="center" valign="middle" >0.71</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x257.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >0.52</td><td align="center" valign="middle" >0.51</td><td align="center" valign="middle" >0.6</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x258.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.52</td><td align="center" valign="middle" >0.53</td><td align="center" valign="middle" >0.67</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x259.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >0.63</td><td align="center" valign="middle" >0.66</td><td align="center" valign="middle" >0.62</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x260.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.59</td><td align="center" valign="middle" >0.67</td><td align="center" valign="middle" >0.62</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x261.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >0.51</td><td align="center" valign="middle" >0.59</td><td align="center" valign="middle" >0.64</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x262.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.6</td><td align="center" valign="middle" >0.6</td><td align="center" valign="middle" >0.67</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x263.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >0.59</td><td align="center" valign="middle" >0.52</td><td align="center" valign="middle" >0.51</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x264.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.74</td><td align="center" valign="middle" >0.51</td><td align="center" valign="middle" >0.64</td></tr></tbody></table></table-wrap><table-wrap id="table8" ><label><xref ref-type="table" rid="table8">Table 8</xref></label><caption><title> Normalized relevance to ideal solution of each alternative</title></caption><table><tbody><thead><tr><th align="center" valign="middle" ></th><th align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x265.png" xlink:type="simple"/></inline-formula></th><th align="center" valign="middle" ><sup><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x266.png" xlink:type="simple"/></inline-formula> </sup></th><th align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x267.png" xlink:type="simple"/></inline-formula></th><th align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x268.png" xlink:type="simple"/></inline-formula></th></tr></thead><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x269.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >5.59</td><td align="center" valign="middle" >7.02</td><td align="center" valign="middle" >12.61</td><td align="center" valign="middle" >0.55</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x270.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >5.23</td><td align="center" valign="middle" >7.08</td><td align="center" valign="middle" >12.31</td><td align="center" valign="middle" >0.58</td></tr><tr><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x271.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >4.56</td><td align="center" valign="middle" >7.76</td><td align="center" valign="middle" >12.32</td><td align="center" valign="middle" >0.63</td></tr></tbody></table></table-wrap><table-wrap id="table9" ><label><xref ref-type="table" rid="table9">Table 9</xref></label><caption><title> Final results according to point system of alternatives</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Alternatives</th><th align="center" valign="middle" >Very good</th><th align="center" valign="middle" >Good</th><th align="center" valign="middle" >Medium good</th><th align="center" valign="middle" >Fair</th><th align="center" valign="middle" >Sum</th><th align="center" valign="middle" >Correspondence of alternatives to ideal solution</th></tr></thead><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x272.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >17</td><td align="center" valign="middle" >24</td><td align="center" valign="middle" >5</td><td align="center" valign="middle" >2</td><td align="center" valign="middle" >400</td><td align="center" valign="middle" >0.833</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x273.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >18</td><td align="center" valign="middle" >21</td><td align="center" valign="middle" >6</td><td align="center" valign="middle" >3</td><td align="center" valign="middle" >396</td><td align="center" valign="middle" >0.825</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x274.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >19</td><td align="center" valign="middle" >22</td><td align="center" valign="middle" >6</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >406</td><td align="center" valign="middle" >0.846</td></tr></tbody></table></table-wrap><table-wrap id="table10" ><label><xref ref-type="table" rid="table1">Table 1</xref>0</label><caption><title> Comparision of the results</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Alternatives</th><th align="center" valign="middle" >FDMSM</th><th align="center" valign="middle" >Results of point system</th></tr></thead><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x275.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >Hiring of this candidate can carry a bit of risk.</td><td align="center" valign="middle" >This candidate is unconditionally hired.</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x276.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >Hiring of this candidate can carry a bit of risk.</td><td align="center" valign="middle" >This candidate is unconditionally hired.</td></tr><tr><td align="center" valign="middle" ><sub><inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/2-7900345x277.png" xlink:type="simple"/></inline-formula> </sub></td><td align="center" valign="middle" >This candidate can be hired.</td><td align="center" valign="middle" >This candidate is unconditionally hired.</td></tr></tbody></table></table-wrap><p>As it is seen the results of point system application in the solution of applicant employment problem differs from the results of proposed FDMSM application and this method supports the employment of “unconditionally hired” employee rather than “risk-carrying” as appointed by point system.</p></sec><sec id="s7"><title>7. Conclusions</title><p>Traditional methods of multi-criteria assessment and ordering cannot effectively solve the problem of the group (collective) decision making under imprecise and linguistic information. Basing on the proposed model and me- thod, the key features of more objective and transparent management decisions of the personnel are as follows:</p><p> The number of criteria and criteria indicators characterizing the issue are not restricted;</p><p> The quality of criteria indicators characterizing the issue, the importance and advantage of criteria and crite- ria indicators in relation to each other are taken into account, and the conflict is determined;</p><p> Subjectivity of decision-maker in the decision-making process are reduced, more objective and transparent decisions are made.</p><p>The proposed method for multi-criteria assessment and ranking can be applied for solving the problems of Personnel Management, as well as for other problems arising from the human activity.</p><p>However, the criteria, assessment indicators characterizing assessed objects should be formed previously and their importance coefficients should be determined using appropriate methods. Quite difficult and time-con- suming procedure for implementing the above steps is a weak point of the proposed approach.</p><p>One of the advantages of this approach is possibility of taking into consideration the competence of the par- ticipating experts in appropriate subject domain. Thus, Decision-Maker do not always consider these experts’ competency equal in appropriate subject and their competence is considered only within decision-making pro- cess. That’s why we are planning to consider this parameter also in our future researches.</p></sec><sec id="s8"><title>NOTES</title></sec></body><back><ref-list><title>References</title><ref id="scirp.50475-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Cole, G.A. 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