Minimizing Group Discordance Optimization Model for Deriving Expert Weights

Zeshui Xu () and Xiaoqiang Cai ()
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Zeshui Xu: Southeast University
Xiaoqiang Cai: The Chinese University of Hong Kong

Group Decision and Negotiation, 2012, vol. 21, issue 6, No 5, 863-875

Abstract: Abstract This paper focuses on the problem of how to determine expert weights in multiple attribute group decision making. We first aggregate all the individual decision matrices into the collective decision matrix by means of the weighted arithmetic averaging operator, and then from the angle of minimizing group discordance, we establish a general nonlinear optimization model based on deviation function, and employ a genetic algorithm to solve our model so as to find the optimal expert weights. Moreover, we extend our model to uncertain multiple attribute group decision making, where the attribute values are interval numbers, and finally, apply our model to the plan evaluation of new model of cars of an investment company.

Keywords: Multiple attribute group decision making; Expert weights; Group discordance; Genetic algorithm; Nonlinear optimization model (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10726-011-9253-7

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