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Norm-based approximation in E-[0,1] convex multi-objective programming.

Authors :
Emam, Tarek
Ali, S.
Source :
Calcolo; Dec2016, Vol. 53 Issue 4, p723-735, 13p
Publication Year :
2016

Abstract

This paper addresses the problem of capturing nondominated points on non-convex pareto frontier, which are encountered in E-[0,1] convex multi-objective programming problems. We use E-[0,1] map to transfer non-convex pareto frontier to convex pareto frontier, then An algorithm to find a piecewise linear approximation of the nondominated set of convex pareto frontier are applied. Finally, the inverse map of E-[0,1] is used to get the nondominated set of non-convex pareto frontier. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00080624
Volume :
53
Issue :
4
Database :
Complementary Index
Journal :
Calcolo
Publication Type :
Academic Journal
Accession number :
119597435
Full Text :
https://doi.org/10.1007/s10092-015-0170-z