IJPAM: Volume 79, No. 2 (2012)
FUZZY NUMBERS IN BI-MATRIX GAMES
Department of Applied Mathematics with
Oceanology and Computer Programming
Vidyasagar University, Midnapore-721 102, India
Bankura Christian College
Bankura, 722 101, INDIA
Abstract. The basic aim of this paper is to an application of triangular intuitionistic fuzzy numbers(TIFNs) to a single non-cooperative bi-matrix games. Firstly, the concept of TIFNs and their cut sets are introduced as well as the inequality relations between two TIFNs. Secondly, a bi-matrix game with payoffs of TIFNs is considered and an attempt is made to conceptualize the meaning of a Nash-equilibrium solution for such games. Practical investigations have been discussed for selling a product in a market share for two different companies.
Received: February 23, 2012
AMS Subject Classification: 91A05, 91A80
Key Words and Phrases: intuitionistic fuzzy sets, triangular intuitionistic fuzzy number, bi-matrix game, Nash-equilibrium
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395