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Mathematical Modeling for Water Quality Management under Interval and Fuzzy Uncertainties

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  • J. Liu
  • Y. P. Li
  • G. H. Huang

Abstract

In this study, an interval fuzzy credibility-constrained programming (IFCP) method is developed for river water quality management. IFCP is derived from incorporating techniques of fuzzy credibility-constrained programming (FCP) and interval-parameter programming (IPP) within a general optimization framework. IFCP is capable of tackling uncertainties presented as interval numbers and possibility distributions as well as analyzing the reliability of satisfying (or the risk of violating) system’s constraints. A real-world case for water quality management planning of the Xiangxi River in the Three Gorges Reservoir Region (which faces severe water quality problems due to pollution from point and nonpoint sources) is then conducted for demonstrating the applicability of the developed method. The results demonstrate that high biological oxygen demand (BOD) discharge is observed at the Baishahe chemical plant and Gufu wastewater treatment plant. For nonpoint sources, crop farming generates large amounts of total phosphorus (TP) and total nitrogen (TN). The results are helpful for managers in not only making decisions of effluent discharges from point and nonpoint sources but also gaining insight into the tradeoff between system benefit and environmental requirement.

Suggested Citation

  • J. Liu & Y. P. Li & G. H. Huang, 2013. "Mathematical Modeling for Water Quality Management under Interval and Fuzzy Uncertainties," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-14, December.
  • Handle: RePEc:hin:jnljam:731568
    DOI: 10.1155/2013/731568
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    Cited by:

    1. Liu, J. & Nie, S. & Shan, B.G. & Li, Y.P. & Huang, G.H. & Liu, Z.P., 2019. "Development of an interval-credibility-chance constrained energy-water nexus system planning model—a case study of Xiamen, China," Energy, Elsevier, vol. 181(C), pages 677-693.
    2. Mohammad Ebrahim Banihabib & Mahmoud Mohammad Rezapour Tabari & Mohsen Mohammad Rezapour Tabari, 2019. "Development of a Fuzzy Multi-Objective Heuristic Model for Optimum Water Allocation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(11), pages 3673-3689, September.

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