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2015 NONLINEAR SCALARIZATION CHARACTERIZATIONS OF $E$-EFFICIENCY IN VECTOR OPTIMIZATION
Ke-Quan Zhao, Yuan-Mei Xia, Xin-Min Yang
Taiwanese J. Math. 19(2): 455-466 (2015). DOI: 10.11650/tjm.19.2015.4360

Abstract

In this paper, two kinds of nonlinear scalarization functions are applied to characterize $E$-efficient solutions and weak $E$-efficient solutions of vector optimization problems and some nonlinear scalarization characterizations are obtained. Some examples also are given to illustrate the main results.

Citation

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Ke-Quan Zhao. Yuan-Mei Xia. Xin-Min Yang. "NONLINEAR SCALARIZATION CHARACTERIZATIONS OF $E$-EFFICIENCY IN VECTOR OPTIMIZATION." Taiwanese J. Math. 19 (2) 455 - 466, 2015. https://doi.org/10.11650/tjm.19.2015.4360

Information

Published: 2015
First available in Project Euclid: 4 July 2017

zbMATH: 1357.90147
MathSciNet: MR3332307
Digital Object Identifier: 10.11650/tjm.19.2015.4360

Subjects:
Primary: 90C29 , 90C30 , 90C46

Keywords: $E$-Efficient solutions , nonlinear scalarization functions , vector optimization , weak $E$-efficient solutions

Rights: Copyright © 2015 The Mathematical Society of the Republic of China

Vol.19 • No. 2 • 2015
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