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Operations Research Transactions >

2015 , Vol. 19 >Issue 2: 105 - 110

DOI: https://doi.org/10.15960/j.cnki.issn.1007-6093.2015.02.012

A characterization of weakly (C,\varepsilon)-efficient solution of vector optimization via nonlinear scalarization

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  • 1. College of Sciences, Shanghai University, Shanghai 200444, China; 2. College of Mathematical Sciences, Chongqing Normal University, Chongqing 400047, China

Received date: 2014-04-18

  Online published: 2015-06-15

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Abstract

Recently, Guti\'{e}rrez et al. proposed a new type of efficiency based on co-radiant set which called (C,\varepsilon)-efficient solution in vector optimization. This new notion of efficiency unifies some well-known concepts introduced previously in the literature. In this paper, we characterizes the new (C,\varepsilon)-efficient solution by a nonlinear scalarization function proposed by G\"{o}pfert, et al. Furthermore, an example is given to illustrate our main result.

Key words： weakly (C,\varepsilon)-efficient solution; nonlinear scalarization; vector optimization

Cite this article

GUO Hui . A characterization of weakly (C,\varepsilon)-efficient solution of vector optimization via nonlinear scalarization[J]. Operations Research Transactions, 2015 , 19(2) : 105 -110 . DOI: 10.15960/j.cnki.issn.1007-6093.2015.02.012

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