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Matrix games in intuitionistic fuzzy environment

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  • Mijanur Rahaman Seikh
  • Prasun Kumar Nayak
  • Madhumangal Pal

Abstract

This paper presents a new intuitionistic fuzzy optimisation (IFO) approach to solve matrix games under uncertainty. This approach is an application of the intuitionistic fuzzy set. First we have considered matrix game with intuitionistic fuzzy (IF) goals for each of a strategy in a payoff matrix in order to incorporate ambiguity of human judgements. The degree of membership is defined as the degree of satisfaction and the degree of nonmembership function have been taken for the degree of rejection. Then it converts the said problem into two conventional linear programming problems. Numerical example is provided to illustrate our approach.

Suggested Citation

  • Mijanur Rahaman Seikh & Prasun Kumar Nayak & Madhumangal Pal, 2013. "Matrix games in intuitionistic fuzzy environment," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 5(6), pages 693-708.
    • Handle: RePEc:ids:ijmore:v:5:y:2013:i:6:p:693-708
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    Cited by:

    1. M. G. Brikaa & Zhoushun Zheng & El-Saeed Ammar, 2020. "Resolving Indeterminacy Approach to Solve Multi-Criteria Zero-Sum Matrix Games with Intuitionistic Fuzzy Goals," Mathematics, MDPI, vol. 8(3), pages 1-30, February.

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