The Investigation of Some Essential Concepts of Extended Fuzzy-Valued Convex Functions and Their Applications

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dc.authoridSaadati, Reza/0000-0002-6770-6951
dc.authoridNoeiaghdam, Samad/0000-0002-2307-0891
dc.authoridAllahviranloo, Tofigh/0000-0002-6673-3560
dc.authoridBaloochShahryrai, Mohammadreza/0000-0002-9599-8090
dc.authorwosidNoeiaghdam, Samad/N-8476-2016
dc.contributor.authorAllahviranloo, T.
dc.contributor.authorShahryari, M. R. Balooch
dc.contributor.authorSedaghatfar, O.
dc.contributor.authorShahriari, M. R.
dc.contributor.authorSaadati, R.
dc.contributor.authorNoeiaghdam, S.
dc.contributor.authorFernandez-Gamiz, U.
dc.date.accessioned2024-05-19T14:51:17Z
dc.date.available2024-05-19T14:51:17Z
dc.date.issued2024
dc.departmentİstinye Üniversitesien_US
dc.description.abstractIn this paper, we are thus motivated to define and introduce the extended fuzzy-valued convex functions that can take the singleton fuzzy values -infinity similar to and +infinity similar to at some points. Such functions can be characterized using the notions of effective domain and epigraph. In this way, we study important concepts such as fuzzy indicator function and fuzzy infimal convolution for extended fuzzy-valued functions. Finally, we introduce the concept of directional generalized derivative for extended above functions and its properties. Eventually, we give a practical example that will illustrate well the directional g-derivative for the extended fuzzy-valued convex function.en_US
dc.description.sponsorshipGovernment of the Basque Country; Ministry of Science and Higher Education of Russian Federation [FZZS-2024-0003]; [ELKARTEK21/10 KK-2021/00014]; [ELKARTEK22/85]en_US
dc.description.sponsorshipThe work of U.F.-G. was supported by the Government of the Basque Country for the ELKARTEK21/10 KK-2021/00014 and ELKARTEK22/85 research programs, respectively. The research was supported by the Ministry of Science and Higher Education of Russian Federation (Project No. FZZS-2024-0003).en_US
dc.identifier.doi10.1155/2024/8335864
dc.identifier.issn1687-7101
dc.identifier.issn1687-711X
dc.identifier.scopus2-s2.0-85191386544en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org10.1155/2024/8335864
dc.identifier.urihttps://hdl.handle.net/20.500.12713/5911
dc.identifier.volume2024en_US
dc.identifier.wosWOS:001205660800001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherHindawi Ltden_US
dc.relation.ispartofAdvances In Fuzzy Systemsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmz20240519_kaen_US
dc.subjectHukuhara Differentiabilityen_US
dc.subjectIntervalen_US
dc.subjectDifferenceen_US
dc.subjectEquationsen_US
dc.titleThe Investigation of Some Essential Concepts of Extended Fuzzy-Valued Convex Functions and Their Applicationsen_US
dc.typeArticleen_US

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