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An approach to solve fuzzy interval valued matrix game

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  • Sankar Kumar Roy
  • Shakti Nath Mondal

Abstract

The conventional game theory is based on known payoffs. In the real situations, usually the payoffs are not known and have to be approximated. The aim of this paper is to develop a simple and an effective fuzzy multi-objective linear programming method for solving matrix game in which the payoffs are expressed with fuzzy intervals. Since, the payoffs of the matrix game are fuzzy intervals, the value of the matrix game is also fuzzy interval. Using upper and lower bounds of the payoffs, we obtain upper and lower bounds of the value of the matrix game by fuzzy multi-objective linear programming method. Lastly, a numerical example is given to illustrate the method.

Suggested Citation

  • Sankar Kumar Roy & Shakti Nath Mondal, 2016. "An approach to solve fuzzy interval valued matrix game," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 26(3), pages 253-267.
    • Handle: RePEc:ids:ijores:v:26:y:2016:i:3:p:253-267
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    Citations

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    Cited by:

    1. Ankan Bhaumik & Sankar Kumar Roy & Gerhard Wilhelm Weber, 2020. "Hesitant interval-valued intuitionistic fuzzy-linguistic term set approach in Prisoners’ dilemma game theory using TOPSIS: a case study on Human-trafficking," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 28(2), pages 797-816, June.
    2. El-Saeed Ammar & M. G. Brikaa & Entsar Abdel-Rehim, 2019. "A study on two-person zero-sum rough interval continuous differential games," OPSEARCH, Springer;Operational Research Society of India, vol. 56(3), pages 689-716, September.

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