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A Fuzzy Robust Nonlinear Programming Model for Stream Water Quality Management

Author

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  • H. Zhu
  • G. Huang
  • P. Guo
  • X. Qin

Abstract

An interval-parameter fuzzy robust nonlinear programming (IFRNP) approach was developed for stream water quality management under uncertainty. The interval and fuzzy robust programming methods were incorporated within a general framework to address uncertainties associated with the nonlinear objective and the left- and right-hand sides of the constraints. A piecewise linearization approach was developed to deal with the nonlinear cost function. IFRNP could explicitly address complexities of various system uncertainties, where parameters were represented as both interval numbers and fuzzy membership functions. Furthermore, the dual uncertain information associated with the lower and upper bounds of each interval parameter could be effectively tackled through the concept of fuzzy boundary interval. The proposed IFRNP method was applied to a case of water quality management in the Guoyang section of the Guo River in Anhui province, China. A number of cost-effective schemes for water quality management were generated, and allowable wastewater discharge amounts were recommended. The results indicated that IFRNP was applicable to water quality management problems, where high nonlinearities and dual uncertainties exist. Copyright Springer Science+Business Media B.V. 2009

Suggested Citation

  • H. Zhu & G. Huang & P. Guo & X. Qin, 2009. "A Fuzzy Robust Nonlinear Programming Model for Stream Water Quality Management," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(14), pages 2913-2940, November.
    • Handle: RePEc:spr:waterr:v:23:y:2009:i:14:p:2913-2940
    DOI: 10.1007/s11269-009-9416-3
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    References listed on IDEAS

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    1. Qin, X.S. & Huang, G.H. & Zeng, G.M. & Chakma, A. & Huang, Y.F., 2007. "An interval-parameter fuzzy nonlinear optimization model for stream water quality management under uncertainty," European Journal of Operational Research, Elsevier, vol. 180(3), pages 1331-1357, August.
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    Cited by:

    1. George Tsakiris & Mike Spiliotis, 2011. "Planning Against Long Term Water Scarcity: A Fuzzy Multicriteria Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(4), pages 1103-1129, March.
    2. Zhu, H. & Huang, W.W. & Huang, G.H., 2014. "Planning of regional energy systems: An inexact mixed-integer fractional programming model," Applied Energy, Elsevier, vol. 113(C), pages 500-514.
    3. C. Ren & P. Guo & M. Li & J. Gu, 2013. "Optimization of Industrial Structure Considering the Uncertainty of Water Resources," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(11), pages 3885-3898, September.
    4. Huapeng Qin & Jingjing Jiang & Guangtao Fu & Ying Zheng, 2013. "Optimal Water Quality Management Considering Spatial and Temporal Variations in a Tidal River," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(3), pages 843-858, February.
    5. Gong, Xinghui & Zhang, Hongbo & Ren, Chongfeng & Sun, Dongyong & Yang, Jiantao, 2020. "Optimization allocation of irrigation water resources based on crop water requirement under considering effective precipitation and uncertainty," Agricultural Water Management, Elsevier, vol. 239(C).

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