Journal of Applied Mathematics
- J. Appl. Math.
- Volume 2013 (2013), Article ID 657978, 9 pages.
Fuzzy Group Decision Making for Multiobjective Problems: Tradeoff between Consensus and Robustness
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.
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. https://projecteuclid.org/euclid.jam/1394808091