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Information Journal Paper

Title

On matrix games with 2-tuple intuitionistic fuzzy linguistic payoffs

Pages

  149-167

Abstract

 In real-world decision-making problems, experts often prefer to express their views, regarding problem parameters, in a natural language rather than precise numerical form. Linguistic representation models have been widely used to solve many decision-making problems with qualitative information. Game theory has been found successful applications in a wide range of areas. This paper presents an extensive study of Matrix games with qualitative payoffs. The work uses 2-tuple intuitionistic fuzzy linguistic values (2-TIFLVs) to represent the payoffs of the Matrix game. We develop the mathematical formulation and concepts of the solutions for Matrix games with payoffs represented by 2-TIFLVs. Paper also shows that Matrix games with payoffs of 2-TIFLVs have solutions that can be obtained by transforming the Matrix game in a pair of linear/nonlinear programming problems. Finally, a real-life numerical is given to illustrate the developed method.

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    APA: Copy

    VERMA, R., & AGGARWAL, A.. (2021). On matrix games with 2-tuple intuitionistic fuzzy linguistic payoffs. IRANIAN JOURNAL OF FUZZY SYSTEMS, 18(4 ), 149-167. SID. https://sid.ir/paper/412171/en

    Vancouver: Copy

    VERMA R., AGGARWAL A.. On matrix games with 2-tuple intuitionistic fuzzy linguistic payoffs. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2021;18(4 ):149-167. Available from: https://sid.ir/paper/412171/en

    IEEE: Copy

    R. VERMA, and A. AGGARWAL, “On matrix games with 2-tuple intuitionistic fuzzy linguistic payoffs,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 18, no. 4 , pp. 149–167, 2021, [Online]. Available: https://sid.ir/paper/412171/en

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