Paper Info
Title
Non-linear Programming Approach to Solve Bi-matrix Games with Payoffs Represented by I-fuzzy Numbers
Abstract
The aim of this paper is to develop a new methodology for solving bi-matrix games with payoffs of Atanassov’s intuitionistic fuzzy (I-fuzzy) numbers. In this methodology, we define the concepts of I-fuzzy numbers, the value-index and ambiguity-index, and develop a difference-index based ranking method. Hereby the parameterized non-linear programming models are derived from a pair of auxiliary I-fuzzy mathematical programming models, which are used to determine solutions of bi-matrix games with payoffs represented by I-fuzzy numbers. Validity and applicability of the models and method proposed in this paper are illustrated with a practical example.
Year
DOI
Venue
2016
https://doi.org/10.1007/s40815-015-0052-1
International Journal of Fuzzy Systems
Keywords
Field
DocType
Atanassov’s intuitionistic fuzzy (I-fuzzy) number,Fuzzy set,Fuzzy game theory,Mathematical programming,Fuzzy optimization
Mathematical optimization,Programming paradigm,Fuzzy set operations,Fuzzy logic,Nonlinear programming,Fuzzy transportation,Fuzzy set,Type-2 fuzzy sets and systems,Fuzzy number,Mathematics
Journal
Volume
Issue
ISSN
18
3
1562-2479
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Jie Yang119457.20
Wei Fei2132.93
Deng-Feng Li396846.12