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dc.contributor.authorKaraman, Emrah
dc.contributor.authorSoyertem, Mustafa
dc.contributor.authorGüvenc, İlknur Atasever
dc.contributor.authorTozkan, Didem
dc.contributor.authorKüçük, Mahide
dc.contributor.authorKüçük, Yalçın
dc.date.accessioned2019-10-20T14:28:07Z
dc.date.available2019-10-20T14:28:07Z
dc.date.issued2018
dc.identifier.issn1385-1292
dc.identifier.issn1572-9281
dc.identifier.urihttps://dx.doi.org/10.1007/s11117-017-0544-3
dc.identifier.urihttps://hdl.handle.net/11421/18021
dc.descriptionWOS: 000435964300009en_US
dc.description.abstractIn this study, some new order relations on family of sets are introduced by using Minkowski difference. The relations between these orders and the ordering cone of the vector space are obtained. It is shown that depending on the corresponding cone, these order relations are partial orders on the family of nonempty bounded sets. Some relationships between these order relations and upper and lower set less order relations are investigated. Also, two scalarizing functions are introduced in order to replace set optimization problems with respect to these partial order relations with scalar optimization problems. Moreover, necessary and sufficient optimality conditions are presented.en_US
dc.language.isoengen_US
dc.publisherSpringeren_US
dc.relation.isversionof10.1007/s11117-017-0544-3en_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSet Optimizationen_US
dc.subjectPartial Orderen_US
dc.subjectScalarizationen_US
dc.subjectOptimality Conditionsen_US
dc.titlePartial order relations on family of sets and scalarizations for set optimizationen_US
dc.typearticleen_US
dc.relation.journalPositivityen_US
dc.contributor.departmentAnadolu Üniversitesi, Fen Fakültesi, Matematik Bölümüen_US
dc.identifier.volume22en_US
dc.identifier.issue3en_US
dc.identifier.startpage783en_US
dc.identifier.endpage802en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US]
dc.contributor.institutionauthorGüvenc, İlknur Atasever
dc.contributor.institutionauthorTozkan, Didem
dc.contributor.institutionauthorKüçük, Mahide
dc.contributor.institutionauthorKüçük, Yalçın


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