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APPROXIMATE EFFICIENCY FOR n-SET MULTIOBJECTIVE FRACTIONAL PROGRAMMING

NARENDER KUMAR

Department of Mathematics, R.L.A.(E.) College, University of Delhi, New Delhi – 110021, India

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R. K. BUDHRAJA

Department of Mathematics, S. V. College, University of Delhi, New Delhi – 110021, India

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, and

APARNA MEHRA

Department of Mathematics, IIT, Hauz Khas, New Delhi – 110016, India

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https://doi.org/10.1142/S0217595904000199Cited by:2 (Source: Crossref)

Abstract

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

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