APPROXIMATE EFFICIENCY FOR n-SET MULTIOBJECTIVE FRACTIONAL PROGRAMMING-Reference-Cited by-同舟云学术

APPROXIMATE EFFICIENCY FOR n-SET MULTIOBJECTIVE FRACTIONAL PROGRAMMING

Published:2004-06 Issue:02 Volume:21 Page:197-206
ISSN:0217-5959
Container-title:Asia-Pacific Journal of Operational Research
language:en
Short-container-title:Asia Pac. J. Oper. Res.

Author:

KUMAR NARENDER¹,BUDHRAJA R. K.²,MEHRA APARNA³

Affiliation:

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

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

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

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

Publisher

World Scientific Pub Co Pte Lt

Subject

Management Science and Operations Research,Management Science and Operations Research

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217595904000199

Reference14 articles.

1. Duality for Multiobjective Fractional Programming Involving n-Set Functions

2. Lecture Notes in Economics and Mathematical Systems;Blaga L.,1992

3. Optimization theory for n-set functions

4. Lagrange multiplier theorem of multiobjective programming problems with set functions

5. A theorem on nonconvex functions and its application to vector optimization

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Duality for multiobjective fractional programming problems involving d -type-I n-set functions;Yugoslav Journal of Operations Research;2009

2. A sixth bibliography of fractional programming;Optimization;2006-08