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

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

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

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.

Date: 2013
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2013/657978

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:657978

Access Statistics for this article

More articles in Journal of Applied Mathematics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().