Set optimization using improvement sets

In this paper we introduce a notion of minimal solutions for set-valued optimization problem in terms of improvement sets, by unifying a solution notion, introduced by Kuroiwa [15] for set-valued problems, and a notion of optimal solutions in terms of improvement sets, introduced by Chicco et al. [4...

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Bibliographic Details
Published inYugoslav Journal of Operations Research Vol. 27; no. 2; pp. 153 - 167
Main Authors Dhingra, M., Lalitha, C.S.
Format Journal Article
LanguageEnglish
Published University of Belgrade 2017
Subjects
improvement set
Painlevé-Kuratowski convergence
set-valued optimization
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Summary:In this paper we introduce a notion of minimal solutions for set-valued optimization problem in terms of improvement sets, by unifying a solution notion, introduced by Kuroiwa [15] for set-valued problems, and a notion of optimal solutions in terms of improvement sets, introduced by Chicco et al. [4] for vector optimization problems. We provide existence theorems for these solutions, and establish lower convergence of the minimal solution sets in the sense of Painlev?-Kuratowski. nema
ISSN:0354-0243
1820-743X
DOI:10.2298/YJOR170115011D