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Minimization of Constraint Violation in Fuzzy Multiobjective Programming

Ghosh, Subimal and Mujumdar, PP (2006) Minimization of Constraint Violation in Fuzzy Multiobjective Programming. In: 7th International Conference on Hydroinformatics HIC 2006 , September 4-8 2006, Nice, France.

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Fuzzy multiobjective programming for a deterministic case involves maximizing the minimum goal satisfaction level among conflicting goals of different stakeholders using Max-min approach. Uncertainty due to randomness in a fuzzy multiobjective programming may be addressed by modifying the constraints using probabilistic inequality (e.g., Chebyshev’s inequality) or by addition of new constraints using statistical moments (e.g., skewness). Such modifications may result in the reduction of the optimal value of the system performance. In the present study, a methodology is developed to allow some violation in the newly added and modified constraints, and then minimizing the violation of those constraints with the objective of maximizing the minimum goal satisfaction level. Fuzzy goal programming is used to solve the multiobjective model. The proposed methodology is demonstrated with an application in the field of Waste Load Allocation (WLA) in a river system.

Item Type: Conference Paper
Department/Centre: Division of Mechanical Sciences > Civil Engineering
Date Deposited: 23 Nov 2011 08:53
Last Modified: 23 Nov 2011 08:53
URI: http://eprints.iisc.ac.in/id/eprint/42235

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