On matrix games with ۲-tuple intuitionistic fuzzy linguistic payoffs
Publish place: Iranian Journal of Fuzzy Systems، Vol: 18، Issue: 4
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJFS-18-4_011
تاریخ نمایه سازی: 30 خرداد 1400
Abstract:
In real-world decision-making problems, experts often prefer to express their views, regarding problem parameters, in a natural language rather than precise numerical form. Linguistic representation models have been widely used to solve many decision-making problems with qualitative information. Game theory has been found successful applications in a wide range of areas. This paper presents an extensive study of matrix games with qualitative payoffs. The work uses ۲-tuple intuitionistic fuzzy linguistic values (۲-TIFLVs) to represent the payoffs of the matrix game. We develop the mathematical formulation and concepts of the solutions for matrix games with payoffs represented by ۲-TIFLVs. Paper also shows that matrix games with payoffs of ۲-TIFLVs have solutions that can be obtained by transforming the matrix game in a pair of linear/nonlinear programming problems. Finally, a real-life numerical is given to illustrate the developed method.
Keywords:
Matrix game , linguistic variables , ۲-tuple linguistic model , ۲-tuple intuitionistic fuzzy linguistic set , non-linear optimization
Authors
R. Verma
Department of Management Control and Information Systems, University of Chile, Av. Diagonal Paraguay ۲۵۷, ۸۳۳۰۰۱۵ Santiago, Chile
A. Aggarwal
University School of Basic and Applied Sciences\ Guru Gobind Singh Indraprastha University Delhi-۱۱۰۰۷۸, India