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Intelligent Water Management: a Triangular Type-2 Intuitionistic Fuzzy Matrix Games Approach

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  • Sankar Kumar Roy

    (Vidyasagar University)

  • Ankan Bhaumik

    (Vidyasagar University)

Abstract

Matrix games with fuzzy payoffs have spread itself nowadays in diverse fields. Fuzzy game theory with triangular type-1 fuzzy numbers are visited more by researchers. In this paper, we consider matrix games with payoffs as triangular type-2 intuitionistic fuzzy numbers, i.e., Triangular Type-2 Intuitionistic Fuzzy Matrix Game (TT2IFMG) as a new and rare concept. A new ranking function is used to get relevant solutions of TT2IFMG. We are living in times of unprecedented scientific-technical advancement, yet facing several critical global problems that threaten human welfare and our ecosystem. Water management, a burning problem of the Earth now-a-days, is treated here under the scanner of TT2IFMG environment where we discuss some policy-management toward the free and fair accession of water against its limited resources.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:waterr:v:32:y:2018:i:3:d:10.1007_s11269-017-1848-6
    DOI: 10.1007/s11269-017-1848-6
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    References listed on IDEAS

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    1. Shyamali Ghosh & Sankar Kumar Roy & Gerhard-Wilhelm Weber, 2023. "Interactive strategy of carbon cap-and-trade policy on sustainable multi-objective solid transportation problem with twofold uncertain waste management," Annals of Operations Research, Springer, vol. 326(1), pages 157-197, July.
    2. M. G. Brikaa & Zhoushun Zheng & El-Saeed Ammar, 2020. "Resolving Indeterminacy Approach to Solve Multi-Criteria Zero-Sum Matrix Games with Intuitionistic Fuzzy Goals," Mathematics, MDPI, vol. 8(3), pages 1-30, February.
    3. 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.
    4. Bertrand Crettez & Naila Hayek & Peter M. Kort, 2021. "A Dynamic Multi-Objective Duopoly Game with Capital Accumulation and Pollution," Mathematics, MDPI, vol. 9(16), pages 1-34, August.
    5. Soumen Kumar Das & Magfura Pervin & Sankar Kumar Roy & Gerhard Wilhelm Weber, 2023. "Multi-objective solid transportation-location problem with variable carbon emission in inventory management: a hybrid approach," Annals of Operations Research, Springer, vol. 324(1), pages 283-309, May.

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