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

Ankan Bhaumik (), Sankar Kumar Roy () and Gerhard Wilhelm Weber ()
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Ankan Bhaumik: Vidyasagar University
Sankar Kumar Roy: Vidyasagar University
Gerhard Wilhelm Weber: Poznan University of Technology

Central European Journal of Operations Research, 2020, vol. 28, issue 2, No 24, 797-816

Abstract: 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.

Keywords: Prisoners’ dilemma; Linguistic term set; Hesitant interval-valued intuitionistic fuzzy set; TOPSIS; Nash equilibrium; Human trafficking (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (6)

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DOI: 10.1007/s10100-019-00638-9

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