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On solving matrix games with pay-offs of triangular fuzzy numbers: Certain observations and generalizations

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  • Chandra, S.
  • Aggarwal, A.

Abstract

The purpose of this paper is to highlight a serious omission in the recent work of Li (2012) for solving the two person zero-sum matrix games with pay-offs of triangular fuzzy numbers (TFNs) and propose a new methodology for solving such games. Li (2012) proposed a method which always assures that the max player gain-floor and min player loss-ceiling have a common TFN value. The present paper exhibits a flaw in this claim of Li (2012). The flaw arises on account of Li (2012) not explaining the meaning of solution of game under consideration. The present paper attempts to provide certain appropriate modifications in Li’s model to take care of this serious omission. These modifications in conjunction with the results of Clemente, Fernandez, and Puerto (2011) lead to an algorithm to solve matrix games with pay-offs of general piecewise linear fuzzy numbers.

Suggested Citation

  • Chandra, S. & Aggarwal, A., 2015. "On solving matrix games with pay-offs of triangular fuzzy numbers: Certain observations and generalizations," European Journal of Operational Research, Elsevier, vol. 246(2), pages 575-581.
    • Handle: RePEc:eee:ejores:v:246:y:2015:i:2:p:575-581
    DOI: 10.1016/j.ejor.2015.05.011
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    References listed on IDEAS

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    1. Li, Deng-Feng, 2012. "A fast approach to compute fuzzy values of matrix games with payoffs of triangular fuzzy numbers," European Journal of Operational Research, Elsevier, vol. 223(2), pages 421-429.
    2. Li, Deng-Feng, 2011. "Linear programming approach to solve interval-valued matrix games," Omega, Elsevier, vol. 39(6), pages 655-666, December.
    3. Deng-Feng Li, 2011. "Notes On "Linear Programming Technique To Solve Two-Person Matrix Games With Interval Pay-Offs"," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 28(06), pages 705-737.
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    Cited by:

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    2. Chunsheng Cui & Zhongwei Feng & Chunqiao Tan, 2018. "Credibilistic Loss Aversion Nash Equilibrium for Bimatrix Games with Triangular Fuzzy Payoffs," Complexity, Hindawi, vol. 2018, pages 1-16, December.
    3. Wen Li & Deyi Li & Yuqiang Feng & Du Zou, 2023. "Fuzzy Weighted Pareto–Nash Equilibria of Multi-Objective Bi-Matrix Games with Fuzzy Payoffs and Their Applications," Mathematics, MDPI, vol. 11(20), pages 1-18, October.
    4. Zhiying Wang & Xiaodi Liu & Shitao Zhang, 2019. "A New Decision Method for Public Opinion Crisis with the Intervention of Risk Perception of the Public," Complexity, Hindawi, vol. 2019, pages 1-14, July.

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