Paper Info
Title
Solving bi-matrix games with intuitionistic fuzzy goals and intuitionistic fuzzy payoffs.
Abstract
The aim of this paper is to develop a new methodology for solving bi-matrix games in which goals are regarded as intuitionistic fuzzy (IF) sets (IFSs) and payoffs are expressed with triangular IF numbers (TIFNs). In this methodology, a new ranking method of TIFNs is proposed and the concept of IF inequalities is interpreted. An IF non-linear programming model is constructed to obtain the solution for such a type of bi-matrix games. Then utilizing these IF inequalities and the ranking method of TIFNs proposed in this paper, the solution of any bi-matrix game with goals of IFSs and payoffs of TIFNs can be transformed into a crisp non-linear programming problem. It is shown that the bi-matrix game with goals of IFSs and payoffs of TIFNs is a generalization of the bi-matrix game with goals of fuzzy sets and payoffs of triangular fuzzy numbers. The method proposed in this paper is demonstrated with a numerical example of commerce retailers' strategy choice problem.
Year
DOI
Venue
2017
10.3233/JIFS-17595
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
Keywords
Field
DocType
Intuitionistic fuzzy set,intuitionistic fuzzy number,ranking method,bi-matrix game,intuitionistic fuzzy optimization
Discrete mathematics,Algebra,Fuzzy logic,Matrix games,Mathematics
Journal
Volume
Issue
ISSN
33
6
1064-1246
Citations 
PageRank 
References 
1
0.35
10
Authors
3
Name
Order
Citations
PageRank
Jiang-Xia Nan120.71
Deng-Feng Li296846.12
Jingjing An3101.87