向量优化中基于拟内部的弱C(\varepsilon)-有效解的标量化

doi:10.15960/j.cnki.issn.1007-6093.2016.02.012

Abstract

Abstract:

In this paper, some characterizations of co-radiant sets via quasi interior are obtained. Furthermore, under the nearly C(\varepsilon)-subconvexlikeness, an alternative theorem is established and a linear scalarization result of weakly C(\varepsilon)-efficient solutions via quasi interior is given for a class of vector optimization problems with set-valued maps.

Key words: vector optimization, quasi interior, co-radiant sets, weakly C(\varepsilon)-efficient solutions, scalarization

ZHANG Wanli, XIA Yuanmei, ZHAO Kequan. Scalarization of weakly C(\varepsilon)-efficient solutions via quasi interior in vector optimization[J]. Operations Research Transactions, doi: 10.15960/j.cnki.issn.1007-6093.2016.02.012.

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Scalarization of weakly C(\varepsilon)-efficient solutions via quasi interior in vector optimization

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