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Matrix games with 2-tuple linguistic information

Author

Listed:
  • Anjali Singh

    (Delhi Technological University)

  • Anjana Gupta

    (Delhi Technological University)

  • Aparna Mehra

    (Indian Institute of Technology Delhi)

Abstract

In this contribution, a two-player constant-sum 2-tuple linguistic matrix game is described, and a linguistic linear programming (LLP) approach is proposed to solve this class of games. The proposed approach can be perceived as a unified mechanism in the sense that it can be adopted to solve linguistic matrix game problems, LLP problems, and linguistic multi-attribute decision-making (MADM) problems. The latter is exhibited by presenting examples of linguistic MADM problems modeled as two-player constant-sum linguistic matrix games with Nature as the second player.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:annopr:v:287:y:2020:i:2:d:10.1007_s10479-018-2810-6
    DOI: 10.1007/s10479-018-2810-6
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    References listed on IDEAS

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    1. Helton Saulo & Leandro Rêgo & Jose Divino, 2013. "Fiscal and monetary policy interactions: a game theory approach," Annals of Operations Research, Springer, vol. 206(1), pages 341-366, July.
    2. 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.
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    Cited by:

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    3. Helena Gaspars-Wieloch, 2023. "Possible new applications of the interactive programming based on aspiration levels—case of pure and mixed strategies," 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. 31(3), pages 733-749, September.
    4. Shuying Li & Guoping Tu, 2022. "Probabilistic Linguistic Matrix Game Based on Fuzzy Envelope and Prospect Theory with Its Application," Mathematics, MDPI, vol. 10(7), pages 1-30, March.
    5. Helena Gaspars-Wieloch & Dominik Gawroński, 2024. "How can one improve SAW and max-min multi-criteria rankings based on uncertain decision rules?," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 34(1), pages 131-148.

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