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Open AccessArticle

A Fuzzy Max–Min Decision Bi-Level Fuzzy Programming Model for Water Resources Optimization Allocation under Uncertainty

by 1,2 and 1,2,*
1
Key Laboratory of Subsurface Hydrology and Ecological Effect in Arid Region, Ministry of Education, Chang’an University, Xi’an 710054, China
2
School of Environmental Science and Engineering, Chang’an University, Xi’an 710054, China
*
Author to whom correspondence should be addressed.
Water 2018, 10(4), 488; https://doi.org/10.3390/w10040488
Received: 14 March 2018 / Revised: 3 April 2018 / Accepted: 11 April 2018 / Published: 16 April 2018
(This article belongs to the Section Urban Water Management)
Water competing conflict among water competing sectors from different levels should be taken under consideration during the optimization allocation of water resources. Furthermore, uncertainties are inevitable in the optimization allocation of water resources. In order to deal with the above problems, this study developed a fuzzy max–min decision bi-level fuzzy programming model. The developed model was then applied to a case study in Wuwei, Gansu Province, China. In this study, the net benefit and yield were regarded as the upper-level and lower-level objectives, respectively. Optimal water resource plans were obtained under different possibility levels of fuzzy parameters, which could deal with water competing conflict between the upper level and the lower level effectively. The obtained results are expected to make great contribution in helping local decision-makers to make decisions on dealing with the water competing conflict between the upper and lower level and the optimal use of water resources under uncertainty. View Full-Text
Keywords: bi-level programming; fuzzy; water resources; optimal allocation; uncertainty bi-level programming; fuzzy; water resources; optimal allocation; uncertainty
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Ren, C.; Zhang, H. A Fuzzy Max–Min Decision Bi-Level Fuzzy Programming Model for Water Resources Optimization Allocation under Uncertainty. Water 2018, 10, 488.

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