Paper Info
Title
Parameterized bilinear programming methodology for solving triangular intuitionistic fuzzy number bimatrix games.
Abstract
The aim of this paper is to develop a new methodology for solving bimatrix games with payoffs of triangular intuitionistic fuzzy numbers (TIFNs), which are called TIFN bimatrix games for short. In this methodology, we define the concepts of the value-index and ambiguity-index and hereby develop a difference-index based ranking method, which is proven to be a total order. The parameterized bilinear programming models are derived from a pair of auxiliary TIFN mathematical programming models, which are used to determine solutions of TIFN bimatrix games. Validity and applicability of the models and method proposed in this paper are illustrated with a practical example.
Year
DOI
Venue
2016
10.3233/IFS-162125
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
Keywords
Field
DocType
Bimatrix games,triangular intuitionistic fuzzy numbers,ranking,bilinear programming,fuzzy set
Discrete mathematics,Parameterized complexity,Mathematical optimization,Ranking,Programming paradigm,Software development process,Fuzzy number,Mathematics,Bilinear interpolation
Journal
Volume
Issue
ISSN
31
1
1064-1246
Citations 
PageRank 
References 
2
0.39
5
Authors
3
Name
Order
Citations
PageRank
Jie Yang119457.20
Deng-Feng Li296846.12
Li-Bang Lai320.73