Title
A methodology for matrix games with payoffs of triangular intuitionistic fuzzy number.
Abstract
The main objective of this paper is to develop a new ranking methodology for solving matrix games with intuitionistic fuzzy payoffs in terms of a value and ambiguity of triangular intuitionistic fuzzy numbers (TIFNs). In order to obtain an equilibrium solution of this matrix game, we construct two auxiliary TIFN programming models that are transformed into bi-objective linear programming models which are solved by a lexicographic methodology. The validity and applicability of the proposed methodology in this paper are illustrated with a numerical example.
Year
DOI
Venue
2014
10.3233/IFS-130956
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
Keywords
Field
DocType
Triangular intuitionistic fuzzy number,matrix game,mathematical programming,lexicographic method
Discrete mathematics,Ranking,Programming paradigm,Fuzzy logic,Linear programming,Lexicographical order,Matrix games,Fuzzy number,Ambiguity,Mathematics
Journal
Volume
Issue
ISSN
26
6
1064-1246
Citations 
PageRank 
References 
1
0.35
0
Authors
3
Name
Order
Citations
PageRank
Jiang-Xia Nan1935.05
Maojun Zhang231448.74
Deng-Feng Li396846.12