IDEAS home Printed from https://ideas.repec.org/a/eee/jomega/v33y2005i5p425-429.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0305-0483(04)00102-1
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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).
    9. 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.
    10. Li, Deng-Feng, 2011. "Linear programming approach to solve interval-valued matrix games," Omega, Elsevier, vol. 39(6), pages 655-666, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:jomega:v:33:y:2005:i:5:p:425-429. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/375/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.