Fuzzy Group Decision Making for Multiobjective Problems : Tradeoff between Consensus and Robustness
Joint Authors
Yang, Ke-wei
Tan, Xu
Xiong, Jian
Chen, Ying-wu
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-18
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Xiong, Jian& Tan, Xu& Yang, Ke-wei& Chen, Ying-wu. 2013. Fuzzy Group Decision Making for Multiobjective Problems : Tradeoff between Consensus and Robustness. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-488852
Modern Language Association (MLA)
Xiong, Jian…[et al.]. Fuzzy Group Decision Making for Multiobjective Problems : Tradeoff between Consensus and Robustness. Journal of Applied Mathematics No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-488852
American Medical Association (AMA)
Xiong, Jian& Tan, Xu& Yang, Ke-wei& Chen, Ying-wu. Fuzzy Group Decision Making for Multiobjective Problems : Tradeoff between Consensus and Robustness. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-488852
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-488852