Title
Solving Multi-Objective Matrix Games with Fuzzy Payoffs through the Lower Limit of the Possibility Degree.
Abstract
In this article, we put forward the multi-objective matrix game model based on fuzzy payoffs. In order to solve the game model, we first discuss the relationship of two fuzzy numbers via the lower limit-1/2 of the possibility degree. Then, utilizing this relationship, we conclude that the equilibrium solution of this game model and the optimal solution of multicriteria linear optimization problems are of equal value. Finally, to illustrate the effectiveness and correctness of the obtained model, an example is provided.
Year
DOI
Venue
2017
10.3390/sym9080130
SYMMETRY-BASEL
Keywords
Field
DocType
multi-objective game,possibility degree,equilibrium solution,multicriteria linear optimization
Combinatorics,Mathematical optimization,Correctness,Fuzzy logic,Linear programming,Normal-form game,Symmetric game,Fuzzy number,Matrix games,Example of a game without a value,Mathematics
Journal
Volume
Issue
Citations 
9
8
3
PageRank 
References 
Authors
0.41
17
3
Name
Order
Citations
PageRank
Dong Qiu1696.38
Yumei Xing241.10
Shuqiao Chen340.75