BI-MATRIX GAMES WITH INTUITIONISTIC FUZZY GOALS

نویسندگان

  • Madhumangal Pal Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore-721 102, India
  • Prasun Kumar Nayak Department of Mathematics, Bankura Christian College, P.O.+ Dist- Bankura, West Bengal,722101, India
چکیده مقاله:

In this paper, we present an application of intuitionistic fuzzyprogramming to a two person bi-matrix game (pair of payoffs matrices) for thesolution with mixed strategies using linear membership and non-membershipfunctions. We also introduce the intuitionistic fuzzy(IF) goal for a choiceof a strategy in a payoff matrix in order to incorporate ambiguity of humanjudgements; a player wants to maximize his/her degree of attainment of the IFgoal. It is shown that this solution is the optimal solution of a mathematicalprogramming problem. Finally, we present a numerical example to illustratethe methodology.

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عنوان ژورنال

دوره 7  شماره 1

صفحات  65- 79

تاریخ انتشار 2010-02-04

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