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

Date

2020-06-01

Author

Bhaumik, Ankan
Roy, Sankar Kumar
Weber, Gerhard Wilhelm

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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.

Subject Keywords

Management Science and Operations Research

URI

https://hdl.handle.net/11511/51898

Journal

CENTRAL EUROPEAN JOURNAL OF OPERATIONS RESEARCH

DOI

https://doi.org/10.1007/s10100-019-00638-9

Collections

Graduate School of Applied Mathematics, Article

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Citation Formats

A. Bhaumik, S. K. Roy, and G. W. Weber, “Hesitant interval-valued intuitionistic fuzzy-linguistic term set approach in Prisoners’ dilemma game theory using TOPSIS: a case study on Human-trafficking,” CENTRAL EUROPEAN JOURNAL OF OPERATIONS RESEARCH, pp. 797–816, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51898.