An Interval-parameter Fuzzy Robust Nonlinear Programming Model for Water Quality Management

Min Liu, Guoxin Nie, Ming Hu, Renfei Liao, Yangshuo Shen

College of Economic and Management, North China Electric Power University, Beijing, China.
College of Environmental Science and Engineering, North China Electric Power University, Beijing, China.
Environmental Systems Engineering Program, Faculty of Engineering, University of Regina, Regina, Canada.
MOE Key Laboratory of Regional Energy Systems Optimization, North China Electric Power University, Beijing, China.

DOI: 10.4236/jwarp.2013.51002                

Abstract

Planning for water quality management is important for facilitating sustainable socio-economic development; however, the planning is also complicated by a variety of uncertainties and nonlinearities. In this study, an interval-parameter fuzzy robust nonlinear programming (IFRNP) model was developed for water quality management to deal with such difficulties. The developed model incorporated interval nonlinear programming (INP) and fuzzy robust programming (FRP) methods within a general optimization framework. The developed IFRNP model not only could explicitly deal with uncertainties represented as discrete interval numbers and fuzzy membership functions, but also was able to deal with nonlinearities in the objective function.

Keywords

Water Quality Management; Interval Programming; Fuzzy Robust Programming; Nonlinear Programming; Uncertainty

Conflicts of Interest

The authors declare no conflicts of interest.

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