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Hesitant interval-valued intuitionistic fuzzy-linguistic term set approach in Prisoners’ dilemma game theory using TOPSIS: a case study on Human-trafficking

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Abstract

A game is a situation which conceives and concludes through reality involving a set of players, may be two or more. Conclusions of such situations are not always very easy, e.g., if one wins other loses. Sometimes, when considering the totality, the outcome of game is not linguistically zero, and we utter the term non-zero-sum game. Prisoners’ dilemma game is one of most cited examples in non-zero-sum game literature. In this paper, human trafficking, one of the most rising problems of today’s society is viewed through Prisoners’ dilemma game using hesitant interval-valued intuitionistic fuzzy-linguistic term set, where linguistic terms in interval are expressed by linguistic semantics first, and then corresponding indices are used. Finally, Nash equilibrium is derived from the given definition, and the achieved result establishes a close contact with reality using the Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) and Dominance property of matrix game theory.

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Authors and Affiliations

  1. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, West Bengal, 721102, India

    Ankan Bhaumik & Sankar Kumar Roy

  2. Faculty of Engineering Management, Chair of Marketing and Economic Engineering, Poznan University of Technology, ul. Strzelecka 11, 60-965, Poznan, Poland

    Gerhard Wilhelm Weber

  3. Institute of Applied Mathematics, Middle East Technical University, 06800, Ankara, Turkey

    Gerhard Wilhelm Weber

Authors
  1. Ankan Bhaumik
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  2. Sankar Kumar Roy
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  3. Gerhard Wilhelm Weber
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Correspondence to Sankar Kumar Roy.

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Bhaumik, A., Roy, S.K. & Weber, G.W. Hesitant interval-valued intuitionistic fuzzy-linguistic term set approach in Prisoners’ dilemma game theory using TOPSIS: a case study on Human-trafficking. Cent Eur J Oper Res 28, 797–816 (2020). https://doi.org/10.1007/s10100-019-00638-9

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