Abstract
To ensure transboundary river basins are protected as a system, forming water environment governance coalitions is important. However, accurate determination and allocation of the payoffs of joint environment governance under uncertain conditions is a challenging task. This study used a triangular fuzzy number to describe the payoff and solve the fuzzy allocation problem. The article also considered the importance of different coalitions and the effectiveness of the distribution. In addition, the authors constructed a multi-weight fuzzy allocation quadratic programming model and proposed an analytical solution to determine the triangular fuzzy allocation payoffs. These contributions were used to allocate the coalition payoff of basin-wide environment governance, and the Zhanghe River Basin is used as a case study. The results showed that the model produces outputs comparable with the Shapley value allocation method. Therefore, the proposed methodological framework can be used as an alternative allocation scheme that provides a reasonable solution during uncertainty.
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All data generated or analyzed during this study are available from the corresponding author.
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Funding
This work was supported by the Ministry of Education (MOE) of China, Project of Humanities and Social Sciences [No. 20YJCGJW009], the National Natural Science Foundation of China [No. 72104127, 71874101 and 72004116], the Major Program of National Social Foundation of China [No.19ZDA089], the Center for Reservoir Resettlement, China Three Gorges University [No. 2021KFJJ02].
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Conceptualization and methodology: LY, XW; Analysis and investigation: LY, XW, WH, YK; Writing–original draft preparation: LY, DMD; Writing-reviewing and editing: XW, TSR, DMD.
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Yuan, L., Wu, X., He, W. et al. A multi-weight fuzzy Methodological Framework for Allocating Coalition Payoffs of Joint Water Environment Governance in Transboundary River Basins. Water Resour Manage 36, 3367–3384 (2022). https://doi.org/10.1007/s11269-022-03206-0
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DOI: https://doi.org/10.1007/s11269-022-03206-0