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Duality Relations for a Class of a Multiobjective Fractional Programming Problem Involving Support Functions
Department of Management Studies, Indian Institute of Technology Madras, Chennai, India
Department of Mathematics, Central University of Haryana, Pali, India
Mathematics Discipline, PDPM-Indian Institute of Information Technology, Design and Manufacturing, Jabalpur, India
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, India
L. 1627 Awadh Puri Colony Beniganj, Phase-III, Opposite-Industrial Training Institute (I.T.I.), Faizabad, India
Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, India
- 1 Department of Management Studies, Indian Institute of Technology Madras, Chennai, India
- 2 Department of Mathematics, Central University of Haryana, Pali, India
- 3 Mathematics Discipline, PDPM-Indian Institute of Information Technology, Design and Manufacturing, Jabalpur, India
- 4 Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, India
- 5 L. 1627 Awadh Puri Colony Beniganj, Phase-III, Opposite-Industrial Training Institute (I.T.I.), Faizabad, India
- 6 Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, India
American Journal of Operations Research·Volume 08 (2018)·Pages 294–311·Published 28 June 2018·DOI10.4236/ajor.2018.84017
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Abstract
In this article, for a differentiable function , we introduce the definition of the higher-order -invexity. Three duality models for a multiobjective fractional programming problem involving nondifferentiability in terms of support functions have been formulated and usual duality relations have been established under the higher-order -invex assumptions.
KeywordsEfficient SolutionSupport FunctionMultiobjective Fractional ProgrammingGeneralized Invexity
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