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Fuzzy Optimization Model for Water Quality Management of a River System

Sasikumar, K and Mujumdar, PP (1998) Fuzzy Optimization Model for Water Quality Management of a River System. In: Water Resources Planning and Management, 124 (2). pp. 79-88.


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A fuzzy waste-load allocation model, FWLAM, is developed for water quality managementof a river system using fuzzy multiple-objective optimization. An important feature of this model is its capability to incorporate the aspirations and conflicting objectives of the pollution control agencies and the dischargers. The vagueness associated with specifying the water quality criteria and fraction removal levels is modeled in a fuzzy framework. The goals related to the pollution control agency and dischargers are expressed as fuzzy seta. The membership functions of these fuzzy sets are considered to represent the variation of satisfaction levels of the pollution control agency and the dischargers in attaining their respective goals. Two formulations-namely, the MAX-MIN and MAX-BIAS formulations-are proposed for FWLAM. The MAX-MIN formulation maximizes the minimum satisfaction level in the system. The MAX-BIAS formulation maximizes a bias measure, giving a solution that favors the dischargers. Maximization of the bias measure attempts to keep the satisfaction levels of the dischargers away from the minimum satisfaction level and that of the pollution control agency close to the minimum satisfaction level. Most of the conventional water quality management models use water treatment cost curves that are uncertain and nonlinear. Unlike such models, FWLAM avoids the use of the cost curves. Further the model provides the flexibility for the polltion control agency and dischargers to specify theis aspirations independently.

Item Type: Journal Article
Publication: Water Resources Planning and Management
Publisher: ASCE
Keywords: Water quality;Fuzzy logic;Multiobjective programming;waste load allocation
Department/Centre: Division of Mechanical Sciences > Civil Engineering
Date Deposited: 11 May 2005
Last Modified: 19 Sep 2010 04:18
URI: http://eprints.iisc.ac.in/id/eprint/3174

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