TITLE:
A Modified Interactive Stability Algorithm for Solving Multi-Objective NLP Problems with Fuzzy Parameters in Its Objective Functions
AUTHORS:
Mohamed Abd El-Hady Kassem, Ahmad M. K. Tarabia, Noha Mohamed El-Badry
KEYWORDS:
Multi-Objective Nonlinear Programming, Stability, Trade-Off Method, Fuzzy Parameters
JOURNAL NAME:
American Journal of Operations Research,
Vol.6 No.1,
January
11,
2016
ABSTRACT: This paper presents a modified method to solve multi-objective nonlinear programming problems with fuzzy parameters in its objective functions and these fuzzy parameters are characterized by fuzzy numbers. The modified method is based on normalized trade-off weights. The obtained stability set corresponding to α-Pareto optimal solution, using our method, is investigated. Moreover, an algorithm for obtaining any subset of the parametric space which has the same corresponding α-Pareto optimal solution is presented. Finally, a numerical example to illustrate our method is also given.