Approximate efficiency for n-set multiobjective fractional programming

Approximate efficiency for n-set multiobjective fractional programming

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Article ID: iaor20071452
Country: Singapore
Volume: 21
Issue: 2
Start Page Number: 197
End Page Number: 206
Publication Date: Jun 2004
Journal: Asia-Pacific Journal of Operational Research
Authors: , ,
Keywords: programming: multiple criteria
Abstract:

In this paper, we introduce new concepts of e-weak efficient solutions and e-efficient solutions for a nonconvex multiobjective fractional programming problem involving n-set functions. Using an e-parametric approach and a new theorem of alternative for nonconvex n-set functions, some necessary and sufficient conditions for e-approximate solutions are derived.

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