Generalized Differentiability of Fuzzy-Valued Convex Functions and Applications

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dc.contributor.authorAllahviranloo, T.
dc.contributor.authorBaloochshahryari, M.R.
dc.contributor.authorSedaghatfar, O.
dc.date.accessioned2024-05-19T14:33:59Z
dc.date.available2024-05-19T14:33:59Z
dc.date.issued2023
dc.departmentİstinye Üniversitesien_US
dc.description.abstractIn this paper, the concept of generalized differentiability and level-wise generalized Hukuhara differentiability are extended for one-dimensional fuzzy-valued convex functions from R into E. In addition, the properties of generalized differentiability and characterization for fuzzy-valued convex functions in terms of generalized differentiability and the fundamental theorem of calculus generalized differential and fuzzy integral are presented in detail. Moreover, the concepts of generalized subgradient and generalized subdifferential in terms of level-wise generalized Hukuhara differentiability are extended for fuzzy-valued convex functions. Finally, by using their properties, the convex fuzzy optimization for the one-dimensional fuzzy-valued convex functions is discussed. © 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.en_US
dc.identifier.doi10.1007/978-3-031-23476-7_23
dc.identifier.endpage267en_US
dc.identifier.issn1434-9922
dc.identifier.scopus2-s2.0-85163804594en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage259en_US
dc.identifier.urihttps://doi.org/10.1007/978-3-031-23476-7_23
dc.identifier.urihttps://hdl.handle.net/20.500.12713/4384
dc.identifier.volume423en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Science and Business Media Deutschland GmbHen_US
dc.relation.ispartofStudies in Fuzziness and Soft Computingen_US
dc.relation.publicationcategoryKitap Bölümü - Uluslararasıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz20240519_kaen_US
dc.subjectFuzzy Numbersen_US
dc.subjectFuzzy Optimizationen_US
dc.subjectFuzzy-Valued Convex Functionen_US
dc.subjectG-Differentiabilityen_US
dc.subjectG-Subdifferentialen_US
dc.subjectG-Subgradienten_US
dc.subjectLgh-Differentiabilityen_US
dc.titleGeneralized Differentiability of Fuzzy-Valued Convex Functions and Applicationsen_US
dc.typeBook Chapteren_US

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