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APPROXIMATE EFFICIENCY FORn-SET MULTIOBJECTIVE FRACTIONAL PROGRAMMING

Narender Kumar (), R. K. Budhraja and Aparna Mehra
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Narender Kumar: Department of Mathematics, R.L.A.(E.) College, University of Delhi, New Delhi – 110021, India
R. K. Budhraja: Department of Mathematics, S. V. College, University of Delhi, New Delhi – 110021, India
Aparna Mehra: Department of Mathematics, IIT, Hauz Khas, New Delhi – 110016, India

Asia-Pacific Journal of Operational Research (APJOR), 2004, vol. 21, issue 02, 197-206

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

Keywords: Multiobjective fractional programming; n-set function; ε-approximate solution; ε-parametric approach; theorem of alternative (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1142/S0217595904000199

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