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An Approach for Solving Fuzzy Game Problem


Affiliations
1 Department of Mathematics, Vel’s University, Chennai-600117,Tamil Nadu, India
2 Department of Mathematics, D.G.Vaishnav College, Chennai-600106, Tamil Nadu, India
 

In this paper we consider a two person zero sum game with imprecise values in payoff matrix. All the imprecise values are assumed to be triangular or trapezoidal Fuzzy Numbers. An approach for solving problems by using ranking of the fuzzy numbers has been considered to solve the fuzzy game problem. By using ranking to the payoffs we convert the fuzzy valued game problem to crisp valued game problem, which can be solved using the traditional method.

Keywords

Fuzzy Set, Fuzzy Number, Triangular Fuzzy Number, Trapezoidal Fuzzy Number, Ranking Of Fuzzy Numbers
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  • An Approach for Solving Fuzzy Game Problem

Abstract Views: 197  |  PDF Views: 0

Authors

K. Selvakumari
Department of Mathematics, Vel’s University, Chennai-600117,Tamil Nadu, India
S. Lavanya
Department of Mathematics, D.G.Vaishnav College, Chennai-600106, Tamil Nadu, India

Abstract


In this paper we consider a two person zero sum game with imprecise values in payoff matrix. All the imprecise values are assumed to be triangular or trapezoidal Fuzzy Numbers. An approach for solving problems by using ranking of the fuzzy numbers has been considered to solve the fuzzy game problem. By using ranking to the payoffs we convert the fuzzy valued game problem to crisp valued game problem, which can be solved using the traditional method.

Keywords


Fuzzy Set, Fuzzy Number, Triangular Fuzzy Number, Trapezoidal Fuzzy Number, Ranking Of Fuzzy Numbers



DOI: https://doi.org/10.17485/ijst%2F2015%2Fv8i15%2F75320