Enhanced Multi-Objective Voting Data Envelopment Analysis Models with Common Set of Weights

Document Type : Original Article

Authors
Mohammad Izadikhah 1
Erdal Karapinar 2
1 Department Of Mathematics, College Of Science, Arak-Branch, Islamic Azad University, Arak, Iran
2 Department Of Medical Research, China Medical University, Taichung, Taiwan.
10.29252/maco.1.2.5
Abstract
The important issue of the aggregation preference is how to determine the weights associated with different ranking places and DEA models play an important role in this subject. DEA models use assignments of the same aggregate value (equal to unity) to evaluate multiple alternatives as efficient. Furthermore, overly diverse weights can appear, thus, the efficiency of different alternatives obtained by different sets of weights may be unable to be compared and ranked on the same basis. In order to solve two above problems, and rank all the alternatives on the same scale, in this paper, we propose a multiple objective programming (MOP) approach for generating a common set of weights in the DEA framework. Also, we develop a novel model to make a maximum discriminating among candidates’ rankings. Additionally, we present two scenarios to provide suitable strategies for solving the proposed MOP model.

Keywords

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Mathematical Analysis and Convex Optimization
Volume 1, Issue 2
December 2020
Pages 45-58