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An Interval Quadratic Fuzzy Dependent-Chance Programming Model for Optimal Irrigation Water Allocation under Uncertainty

Center for Agricultural Water Research in China, China Agricultural University, Tsinghuadong Street, No. 17, Beijing 100083, China
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Water 2018, 10(6), 684; https://doi.org/10.3390/w10060684
Received: 21 March 2018 / Revised: 10 May 2018 / Accepted: 14 May 2018 / Published: 25 May 2018
(This article belongs to the Section Water Resources Management and Governance)
In this study, an interval quadratic fuzzy dependent-chance programming (IQFDCP) model is proposed for irrigation water management under uncertainty. This model can deal with the interval and fuzzy uncertainties encountered in optimal irrigation water resources allocation problems. It takes optimal credibility level of system revenue as the objective function for addressing the conflict between maximum system revenue and the credibility level of the system revenue. By providing three scenarios of precipitation, the optimal solutions are obtained. The developed model is applied to a case study for irrigation water allocation in Minqin Oasis, Wuwei city, northwest China. This study can help determine how much irrigation water should be allocated to different crops under the maximum credibility level of the system revenue. The optimal solutions can provide a certain credibility level of system revenue corresponding to different scenarios and mitigate the system-failure risk level of water shortages in arid areas. Moreover, because the IQFDCP can objectively reflect the interrelationship among crop irrigation water amount, system revenue, and system-failure risk level, the results are able to provide advices to decision makers for efficiently managing water resources in different scenarios. View Full-Text
Keywords: uncertainty; irrigation water resources allocation; interval quadratic programming; fuzzy dependent-chance programming; credibility level uncertainty; irrigation water resources allocation; interval quadratic programming; fuzzy dependent-chance programming; credibility level
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Wang, H.; Zhang, C.; Guo, P. An Interval Quadratic Fuzzy Dependent-Chance Programming Model for Optimal Irrigation Water Allocation under Uncertainty. Water 2018, 10, 684.

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