New properties of the switching points for the generalized Hukuhara differentiability and some results on calculus ?

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dc.contributor.authorChalco-Cano, Y.
dc.contributor.authorCosta, T. M. [UNESP]
dc.contributor.authorRoman-Flores, H.
dc.contributor.authorRufian-Lizana, A.
dc.contributor.institutionUniv Tarapaca
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniv Seville
dc.date.accessioned2021-06-25T12:25:03Z
dc.date.available2021-06-25T12:25:03Z
dc.date.issued2021-02-01
dc.description.abstractThis article provides a new characterization of the switching points for generalized Hukuhara differentiability and shows that the set of all switching points is at most countable. Using these results, new properties in differential calculus, which generalize previous results, are presented. Then, generalizations of Ostrowski type inequalities for interval-valued functions using weaker assumption than previous results are obtained, and new numerical integration methods for interval-valued functions are established. (C) 2020 Elsevier B.V. All rights reserved.en
dc.description.affiliationUniv Tarapaca, Dept Matemat, Casilla 7D, Arica, Chile
dc.description.affiliationUniv Estadual Paulista, Dept Matemat Aplicada, IBILCE, Sao Jose De Rio Preto, SP, Brazil
dc.description.affiliationUniv Tarapaca, Inst Alta Invest, Casilla 7D, Arica, Chile
dc.description.affiliationUniv Seville, Dept Estadist & IO, Seville, Spain
dc.description.affiliationUnespUniv Estadual Paulista, Dept Matemat Aplicada, IBILCE, Sao Jose De Rio Preto, SP, Brazil
dc.description.sponsorshipUTA Mayor
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipIdUTA Mayor: 4745-19
dc.description.sponsorshipIdCAPES: -001
dc.format.extent62-74
dc.identifierhttp://dx.doi.org/10.1016/j.fss.2020.06.016
dc.identifier.citationFuzzy Sets And Systems. Amsterdam: Elsevier, v. 404, p. 62-74, 2021.
dc.identifier.doi10.1016/j.fss.2020.06.016
dc.identifier.issn0165-0114
dc.identifier.urihttp://hdl.handle.net/11449/209654
dc.identifier.wosWOS:000589573200004
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofFuzzy Sets And Systems
dc.sourceWeb of Science
dc.subjectGeneralized Hukuhara differentiability
dc.subjectFuzzy numbers-valued functions
dc.subjectSwitching points for generalized Hukuhara differentiability
dc.titleNew properties of the switching points for the generalized Hukuhara differentiability and some results on calculus ?en
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.

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