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2013 Fuzzy Group Decision Making for Multiobjective Problems: Tradeoff between Consensus and Robustness
Jian Xiong, Xu Tan, Ke-wei Yang, Ying-wu Chen
J. Appl. Math. 2013(none): 1-9 (2013). DOI: 10.1155/2013/657978

Abstract

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.

Citation

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Jian Xiong. Xu Tan. Ke-wei Yang. Ying-wu Chen. "Fuzzy Group Decision Making for Multiobjective Problems: Tradeoff between Consensus and Robustness." J. Appl. Math. 2013 1 - 9, 2013. https://doi.org/10.1155/2013/657978

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950804
Digital Object Identifier: 10.1155/2013/657978

Rights: Copyright © 2013 Hindawi

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