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Solving matrix games with linguistic payoffs

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Abstract

In this paper, we introduced a matrix game with linguistic payoffs. In order to solve the matrix game with linguistic payoffs a solution methodology has been proposed. This proposed methodology is based on fuzzy representation of linguistic payoffs and defuzzification of fuzzy payoffs. In this method, the linguistic variable has been represented by fuzzy number. Here, widely known Yager’s Ranking Index method has been utilized for defuzzification of fuzzy number. Finally, to illustrate the solution procedure of the proposed game problem, an example has been provided.

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Acknowledgements

The author is grateful to anonymous referees for their constructive as well as helpful suggestions and comments to revise the paper in the present form.

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Authors and Affiliations

  1. Department of Mathematics, Raniganj Girls’ College, Raniganj, 713358, India

    Laxminarayan Sahoo

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  1. Laxminarayan Sahoo
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Correspondence to Laxminarayan Sahoo.

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Sahoo, L. Solving matrix games with linguistic payoffs. Int J Syst Assur Eng Manag 10, 484–490 (2019). https://doi.org/10.1007/s13198-018-0714-0

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  • DOI: https://doi.org/10.1007/s13198-018-0714-0

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