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Group Decision and Negotiation

, Volume 21, Issue 6, pp 863–875 | Cite as

Minimizing Group Discordance Optimization Model for Deriving Expert Weights

  • Zeshui XuEmail author
  • Xiaoqiang Cai
Article

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 

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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.School of Economics and ManagementSoutheast UniversityNanjingChina
  2. 2.Department of Systems Engineering and Engineering ManagementThe Chinese University of Hong KongShatinHong Kong

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