Stability on multiobjective quadratic programming with fuzzy parameters

Stability on multiobjective quadratic programming with fuzzy parameters

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Article ID: iaor2006376
Country: India
Volume: 35
Issue: 5
Start Page Number: 639
End Page Number: 653
Publication Date: May 2004
Journal: Indian Journal of Pure and Applied Mathematics
Authors:
Keywords: fuzzy sets, programming: multiple criteria
Abstract:

This paper deals with multiobjective quadratic programming problems with fuzzy parameters (FMOQP(S)). For such problems, some stability notions such as the solvability set and the stability set of the first kind (SSK 1) are defined and characterized. An algorithm is proposed for the determination of the set (SSK 1) for the fuzzy multiobjective quadratic problem after introducing the so-called alpha-level set of the fuzzy numbers. A numerical example is included to clarify the developed theory and the proposed algorithm.

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