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Jahanshahloo, G.R., Lotfi, F.H., Jafari, Y. and Maddahi, R. (2011) Selecting Symmetric Weights as A Secondary Goal in DEA Cross-Efficiency Evaluation. Applied Mathematical Modelling, 35, 544-549.
https://doi.org/10.1016/j.apm.2010.07.020

has been cited by the following article:

• TITLE: Promoting Balance in Output Efficiencies for Cross-Efficiency Evaluation in Data Envelopment Analysis

  AUTHORS: Jin-Xiao Chen

  KEYWORDS: Data Envelopment Analysis, Cross-Efficiency Evaluation, Secondary Goal, Balance, Output Efficiency

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.3, March 28, 2019

  ABSTRACT: Cross-efficiency evaluation is recognized as an effective way of efficiency assessment for a set of decision making units (DMUs) in the framework of data envelopment analysis (DEA). It has been generally suggested that secondary goals be introduced for cross-efficiency evaluation owing to the non-uniqueness of optimal solutions in self-evaluation. This paper develops a variety of secondary goals in the spirit of promoting balance in the output efficiencies of the DMU under evaluation. The proposed models attempt to make each output contribute as equally as possible to the self-evaluated efficiency. In this way, the weight flexibility can for one thing be reduced by the introduced secondary goals with selections from alternate optimal solutions, in addition to counting on the dilution of flexibility in the subsequent peer-evaluation. The proposed approach might be applicable to evaluation problems in which multiple outputs are considered important and balance is encouraged to put all dimensions into sufficient use. The effectiveness of the proposed approach and its comparisons with some relevant secondary goals are illustrated empirically using numerical examples.