On the solution of fuzzy parametric bicriterion programming problems

On the solution of fuzzy parametric bicriterion programming problems

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Article ID: iaor20091406
Country: India
Volume: 45
Issue: 2
Start Page Number: 119
End Page Number: 138
Publication Date: Jun 2008
Journal: OPSEARCH
Authors: , , ,
Keywords: fuzzy sets
Abstract:

This paper deals with Bicriterion mathematical programming problems with fuzzy numbers in the two objectives and free parameters in the right hand side of the constraints. An algorithm is proposed to find an α-Pareto Optimal Solution and the corresponding Stability Set of First Kind. Some basic stability notions are defined and characterized for the problem of concern. Finally, an illustrative nonlinear numerical example is given to clarify the algorithm.

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