Title
Fuzzy Group Decision Making for Multiobjective Problems: Tradeoff between Consensus and Robustness.
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.
Year
DOI
Venue
2013
10.1155/2013/657978
JOURNAL OF APPLIED MATHEMATICS
Field
DocType
Volume
Decision rule,Decision analysis,Mathematical optimization,Optimal decision,Decision support system,Weighted sum model,Influence diagram,Decision field theory,Mathematics,Decision engineering
Journal
2013
Issue
ISSN
Citations 
null
1110-757X
4
PageRank 
References 
Authors
0.41
28
4
Name
Order
Citations
PageRank
Jian Xiong1993.46
Xu Tan250.76
Ke-wei Yang319322.65
Ying-wu Chen422716.61