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Inexact Fuzzy-Stochastic Programming for Water Resources Management Under Multiple Uncertainties

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Abstract

In this study, an interval-parameter fuzzy-stochastic two-stage programming (IFSTP) approach is developed for irrigation planning within an agriculture system under multiple uncertainties. A concept of the distribution with fuzzy-interval probability (DFIP) is defined to address multiple uncertainties expressed as integration of intervals, fuzzy sets, and probability distributions. IFSTP integrates the interval programming, two-stage stochastic programming, and fuzzy-stochastic programming within a general optimization framework. IFSTP incorporates the pre-regulated water resources management policies directly into its optimization process to analyze various policy scenarios; each scenario has different economic penalty when the promised amounts are not delivered. IFSTP is applied to an irrigation planning in a water resources management system. Solutions from IFSTP provide desired water allocation patterns, which maximize both the system’s benefits and feasibility. The results indicate that reasonable solutions are generated for objective function values and decision variables; thus, a number of decision alternatives can be generated under different levels of stream flows.

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Acknowledgments

The authors would like to thank the anonymous reviewers for their insightful and helpful comments and suggestions that were very helpful for improving the manuscript. This research was supported by the Major State Basic Research Development Program of MOST (2005CB724200 and 2006CB403307), the Canadian Water Network under the Networks of Centers of Excellence (NCE), and the Natural Science and Engineering Research Council of Canada.

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Authors and Affiliations

  1. College of Water Conservancy and Civil Engineering, China Agricultural University, Beijing, 100083, China

    P. Guo

  2. Environmental Systems Engineering Program, University of Regina, Regina, Saskatchewan, S4S 0A2, Canada

    P. Guo & G. H. Huang

  3. College of Urban and Environmental Sciences, Peking University, Beijing, 100871, China

    Y. P. Li

Authors
  1. P. Guo
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  2. G. H. Huang
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Correspondence to G. H. Huang.

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Guo, P., Huang, G.H. & Li, Y.P. Inexact Fuzzy-Stochastic Programming for Water Resources Management Under Multiple Uncertainties. Environ Model Assess 15, 111–124 (2010). https://doi.org/10.1007/s10666-009-9194-6

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