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A Fuzzy Variable Least Core Game for Inter-basin Water Resources Allocation Under Uncertainty

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  • Keighobad Jafarzadegan
  • Armaghan Abed-Elmdoust
  • Reza Kerachian

Abstract

In this paper, a new solution concept, called Fuzzy Variable Least Core (FVLC), is developed for fuzzy cooperative games. The FVLC is able to incorporate fuzzy input variables and result in fuzzy benefit shares of players participating in a coalition. This solution concept is used for water and benefit allocation to water users in inter-basin water transfer systems considering the uncertainties associated with their benefit coefficients. In the proposed water allocation methodology, an Integrated Stochastic Dynamic Programming (ISDP) model is developed to obtain the water rights of players and economic water allocation policies. In the next step, the total net fuzzy benefit of the system is reallocated to water users in an equitable and rational way using a FVLC-based model. In this model, a new algorithm is proposed for converting a multilateral cooperative game with fuzzy variables to some fuzzy bilateral cooperative games, which are solved using the FLVC solution concept. The applicability and efficiency of the proposed methodology is examined by applying it to a large scale inter-basin water transfer project in Iran. Copyright Springer Science+Business Media Dordrecht 2013

Suggested Citation

  • Keighobad Jafarzadegan & Armaghan Abed-Elmdoust & Reza Kerachian, 2013. "A Fuzzy Variable Least Core Game for Inter-basin Water Resources Allocation Under Uncertainty," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(9), pages 3247-3260, July.
    • Handle: RePEc:spr:waterr:v:27:y:2013:i:9:p:3247-3260
    DOI: 10.1007/s11269-013-0344-x
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    References listed on IDEAS

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    1. Armaghan Abed-Elmdoust & Reza Kerachian, 2012. "Water Resources Allocation Using a Cooperative Game with Fuzzy Payoffs and Fuzzy Coalitions," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(13), pages 3961-3976, October.
    2. Li Xuesen & Wang Bende & Rajeshwar Mehrotra & Ashish Sharma & Wang Guoli, 2009. "Consideration of Trends in Evaluating Inter-basin Water Transfer Alternatives within a Fuzzy Decision Making Framework," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(15), pages 3207-3220, December.
    3. Wang, Lizhong & Fang, Liping & Hipel, Keith W., 2008. "Basin-wide cooperative water resources allocation," European Journal of Operational Research, Elsevier, vol. 190(3), pages 798-817, November.
    4. Mojtaba Sadegh & Reza Kerachian, 2011. "Water Resources Allocation Using Solution Concepts of Fuzzy Cooperative Games: Fuzzy Least Core and Fuzzy Weak Least Core," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(10), pages 2543-2573, August.
    5. Mojtaba Sadegh & Najmeh Mahjouri & Reza Kerachian, 2010. "Optimal Inter-Basin Water Allocation Using Crisp and Fuzzy Shapley Games," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(10), pages 2291-2310, August.
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    Cited by:

    1. Mahdi Zarghami & Nasim Safari & Ferenc Szidarovszky & Shafiqul Islam, 2015. "Nonlinear Interval Parameter Programming Combined with Cooperative Games: a Tool for Addressing Uncertainty in Water Allocation Using Water Diplomacy Framework," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(12), pages 4285-4303, September.
    2. S. Jamshid Mousavi & Nasrin Rafiee Anzab & Bentolhoda Asl-Rousta & Joong Hoon Kim, 2017. "Multi-Objective Optimization-Simulation for Reliability-Based Inter-Basin Water Allocation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(11), pages 3445-3464, September.
    3. Mohammad Reza Nikoo & Pouyan Hatami Bahman Beiglou & Najmeh Mahjouri, 2016. "Optimizing Multiple-Pollutant Waste Load Allocation in Rivers: An Interval Parameter Game Theoretic Model," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(12), pages 4201-4220, September.
    4. Xin-Yu Wan & Ping-An Zhong & Emmanuel Appiah-Adjei, 2014. "Variable Sets and Fuzzy Rating Interval for Water Allocation Options Assessment," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(10), pages 2833-2849, August.
    5. Hang Zheng & Clive Lyle & Zhongjing Wang, 2014. "A Comparative Study of Flexibility in Water Allocation in the Context of Hydrologic Variability," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(3), pages 785-800, February.
    6. Zhisong Chen & Lingling Pei, 2018. "Inter-Basin Water Transfer Green Supply Chain Equilibrium and Coordination under Social Welfare Maximization," Sustainability, MDPI, vol. 10(4), pages 1-28, April.

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