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2013 | OriginalPaper | Buchkapitel

Duality for Multiple Objective Fractional Programming with Generalized Type-I Univexity

verfasst von : Ioan M. Stancu-Minasian, Andreea Mădălina Stancu

Erschienen in: Optimization Theory, Decision Making, and Operations Research Applications

Verlag: Springer New York

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Abstract

In this paper, a multiobjective fractional subset programming problem (Problem (P)) is considered. A new class of \(\left(\mathcal{F},b,\phi,\rho,\theta \right)\) -type-I univex function is introduced and a general dual model for (P) is presented. Based on these functions, weak, strong and converse duality theorems are derived. Almost all results presented in the literature were obtained under the assumption that the function ℱ is sublinear in the third argument. Here, our results hold assuming only the convexity of this one.

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Titel: Duality for Multiple Objective Fractional Programming with Generalized Type-I Univexity
verfasst von: Ioan M. Stancu-Minasian
Andreea Mădălina Stancu
Verlag: Springer New York
Buch: Optimization Theory, Decision Making, and Operations Research Applications
Print ISBN: 978-1-4614-5133-4

Electronic ISBN: 978-1-4614-5134-1

Copyright-Jahr: 2013
DOI: https://doi.org/10.1007/978-1-4614-5134-1_14