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Matrix games with fuzzy goals and fuzzy payoffs

Author

Listed:
  • Vijay, V.
  • Chandra, S.
  • Bector, C.R.

Abstract

A two person zero sum matrix game with fuzzy goals and fuzzy payoffs is considered and its solution is conceptualized using a suitable defuzzification function. Also, it is proved that such a game is equivalent to a primal-dual pair of certain fuzzy linear programming problems in which both goals as well as parameters are fuzzy.

Suggested Citation

  • Vijay, V. & Chandra, S. & Bector, C.R., 2005. "Matrix games with fuzzy goals and fuzzy payoffs," Omega, Elsevier, vol. 33(5), pages 425-429, October.
    • Handle: RePEc:eee:jomega:v:33:y:2005:i:5:p:425-429
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    Citations

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    Cited by:

    1. Deng, Xinyang & Liu, Qi & Deng, Yong, 2016. "Matrix games with payoffs of belief structures," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 868-879.
    2. Dang, Jr-Fong & Hong, I-Hsuan, 2013. "The equilibrium quantity and production strategy in a fuzzy random decision environment: Game approach and case study in glass substrates industries," International Journal of Production Economics, Elsevier, vol. 145(2), pages 724-732.
    3. Iraklis Kollias & John Leventides & Vassilios G. Papavassiliou, 2024. "On the solution of games with arbitrary payoffs: An application to an over‐the‐counter financial market," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 29(2), pages 1877-1895, April.
    4. Laxminarayan Sahoo, 2019. "Solving matrix games with linguistic payoffs," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 10(4), pages 484-490, August.
    5. 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.
    6. Anjali Singh & Anjana Gupta & Aparna Mehra, 2020. "Matrix games with 2-tuple linguistic information," Annals of Operations Research, Springer, vol. 287(2), pages 895-910, April.
    7. Gu, Cuiling & Wang, Xianjia & Zhao, Jinhua & Ding, Rui & He, Qilong, 2020. "Evolutionary game dynamics of Moran process with fuzzy payoffs and its application," Applied Mathematics and Computation, Elsevier, vol. 378(C).
    8. S. K. Gupta & Debasis Dangar, 2010. "Duality in fuzzy quadratic programming with exponential membership functions," Fuzzy Information and Engineering, Springer, vol. 2(4), pages 337-346, December.
    9. A. Aggarwal & D. Dubey & S. Chandra & A. Mehra, 2012. "Application of Atanassov’s I-fuzzy set theory to matrix games with fuzzy goals and fuzzy payoffs," Fuzzy Information and Engineering, Springer, vol. 4(4), pages 401-414, December.
    10. Li, Deng-Feng, 2011. "Linear programming approach to solve interval-valued matrix games," Omega, Elsevier, vol. 39(6), pages 655-666, December.

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