Fuzzy group decision making for multiobjective problems: tradeoff between consensus and robustness. (English) Zbl 1397.90226

Xiong, Jian; Tan, Xu; Yang, Ke-Wei; Chen, Ying-Wu

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

Summary: 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.

MSC:

90B50

Management decision making, including multiple objectives