A generalization of interval-valued optimization problems and optimality conditions by using scalarization and subdifferentials

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dc.authoridKaraman, Emrah/0000-0002-0466-3827
dc.contributor.authorKaraman, Emrah
dc.date.accessioned2024-09-29T16:09:36Z
dc.date.available2024-09-29T16:09:36Z
dc.date.issued2021
dc.departmentKarabük Üniversitesien_US
dc.description.abstractIn this work, interval-valued optimization problems are considered. The ordering cone is used to generalize the interval-valued optimization problems on real topological vector spaces. Some definitions and their properties are obtained for intervals, defined via an ordering cone. Gerstewitz's function is used to derive scalarization for the interval-valued optimization problems. Also, two subdifferentials for interval-valued functions are introduced by using subgradients. Some necessary optimality conditions are obtained via subdifferentials and scalarization. An example is given to demonstrate the results.en_US
dc.identifier.doi10.48129/kjs.v48i2.8594
dc.identifier.issn2307-4108
dc.identifier.issn2307-4116
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85105170426en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.48129/kjs.v48i2.8594
dc.identifier.urihttps://hdl.handle.net/20.500.14619/7665
dc.identifier.volume48en_US
dc.identifier.wosWOS:000651779700018en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAcademic Publication Councilen_US
dc.relation.ispartofKuwait Journal of Scienceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectInterval-valued optimization problemen_US
dc.subjectoptimality conditionen_US
dc.subjectordering coneen_US
dc.subjectscalarizationen_US
dc.subjectsubdifferentialen_US
dc.titleA generalization of interval-valued optimization problems and optimality conditions by using scalarization and subdifferentialsen_US
dc.typeArticleen_US

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