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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

Author

Listed:
  • Ankan Bhaumik

    (Vidyasagar University)

  • Sankar Kumar Roy

    (Vidyasagar University)

  • Gerhard Wilhelm Weber

    (Poznan University of Technology
    Middle East Technical University)

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.

Suggested Citation

  • Ankan Bhaumik & Sankar Kumar Roy & Gerhard Wilhelm Weber, 2020. "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, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 28(2), pages 797-816, June.
    • Handle: RePEc:spr:cejnor:v:28:y:2020:i:2:d:10.1007_s10100-019-00638-9
    DOI: 10.1007/s10100-019-00638-9
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    References listed on IDEAS

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    1. Sankar Kumar Roy & Ankan Bhaumik, 2018. "Intelligent Water Management: a Triangular Type-2 Intuitionistic Fuzzy Matrix Games Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(3), pages 949-968, February.
    2. Mo, Pak Hung, 2011. "International Human Trafficking: Theory and Solution," MPRA Paper 35104, University Library of Munich, Germany, revised Nov 2011.
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    4. Xu, Zeshui, 2005. "Deviation measures of linguistic preference relations in group decision making," Omega, Elsevier, vol. 33(3), pages 249-254, June.
    5. Chen, Chen-Tung & Lin, Ching-Torng & Huang, Sue-Fn, 2006. "A fuzzy approach for supplier evaluation and selection in supply chain management," International Journal of Production Economics, Elsevier, vol. 102(2), pages 289-301, August.
    6. Sankar Kumar Roy & Shakti Nath Mondal, 2016. "An approach to solve fuzzy interval valued matrix game," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 26(3), pages 253-267.
    7. Konrad, Renata A. & Trapp, Andrew C. & Palmbach, Timothy M. & Blom, Jeffrey S., 2017. "Overcoming human trafficking via operations research and analytics: Opportunities for methods, models, and applications," European Journal of Operational Research, Elsevier, vol. 259(2), pages 733-745.
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