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Operations Research Transactions >

2015 , Vol. 19 >Issue 4: 107 - 113

DOI: https://doi.org/10.15960/j.cnki.issn.1007-6093.2015.04.010

Some dual characterizations of free disposal sets in vector optimization

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  • 1.College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China; 2.College of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China; 3.School of Mathematics and Statistics, Yangtze Normal University, Chongqing 408100, China

Received date: 2014-10-24

  Online published: 2015-12-15

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Abstract

In this paper, we focus on some dual characterizations of free disposal sets in a separated locally convex space, in which, free disposal set means that its algebraic sum with a convex cone is still itself. Under the assumption that E_1 or E_2 is free disposal set, we proved some dual results, such as (E_1\cap E_2)^+=E_1^++ E_2^+, E_1^+ \capE_2^+=(E_1+ E_2)^+, etc.

Key words： vector optimization; free disposal set; dual set

Cite this article

TANG Liping, YANG Yuhong . Some dual characterizations of free disposal sets in vector optimization[J]. Operations Research Transactions, 2015 , 19(4) : 107 -113 . DOI: 10.15960/j.cnki.issn.1007-6093.2015.04.010

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