Journal of Applied Mathematics

Fuzzy Group Decision Making for Multiobjective Problems: Tradeoff between Consensus and Robustness

Jian Xiong, Xu Tan, Ke-wei Yang, and Ying-wu Chen

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Many decision making problems involve multiple decision makers and conflicting objectives. This paper refers to this kind of problems as group decision making for multiobjective problems (GDM-MOP). The task of GDM-MOP is to select final solution(s) from a set of nondominated solutions according to the decision makers' preferences. However, it is common that the preference could be imprecise. We study the GDM-MOP where preferences are expressed by fuzzy reference points, called as fuzzy GDMMOP (FGDM-MOP). This paper provides a decision support model to simultaneously consider two measures for FGDM-MOP: consensus measure and robustness measure. The former is used to reflect the acceptable degree of a solution by the decision making group, while the latter indicates a solution's ability to cope with any change on preferences. A multiobjective evolutionary approach is presented to solve the problem. Finally, a modified benchmark function is studied to illustrate the proposed approach.

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J. Appl. Math., Volume 2013 (2013), Article ID 657978, 9 pages.

First available in Project Euclid: 14 March 2014

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Xiong, Jian; Tan, Xu; Yang, Ke-wei; Chen, Ying-wu. Fuzzy Group Decision Making for Multiobjective Problems: Tradeoff between Consensus and Robustness. J. Appl. Math. 2013 (2013), Article ID 657978, 9 pages. doi:10.1155/2013/657978.

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