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The Hukuhara difference, gH-difference and gH-division are not inclusion isotonic

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dc.contributor.authorCosta, T. M. [UNESP]
dc.contributor.authorLodwick, W. A.
dc.contributor.authorDe Baets, B.
dc.contributor.institutionUniversidade Federal de Lavras (UFLA)
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionUniversity of Colorado
dc.contributor.institutionUniversidade Federal de São Paulo (UNIFESP)
dc.contributor.institutionKERMIT
dc.date.accessioned2022-04-28T19:30:19Z
dc.date.available2022-04-28T19:30:19Z
dc.date.issued2022-05-15
dc.description.abstractThis paper shows that the Hukuhara difference and generalized gH-difference, as well as the gH-division, are not inclusion-isotonic interval extensions of the difference and division of real numbers, respectively, and discusses how this fact may affect the reliability of some results in specific epistemic mathematical models with respect to the semantics being considered.en
dc.description.affiliationDepartamento de Matemática e Matemática Aplicada Universidade Federal de Lavras, MG
dc.description.affiliationDepartamento de Matemática Aplicada Universidade Estadual Paulista, SP
dc.description.affiliationDepartment of Mathematical and Statistical Science University of Colorado
dc.description.affiliationInstituto de Ciência e Tecnologia Universidade Federal de São Paulo, SP
dc.description.affiliationKERMIT Department of Data Analysis and Mathematical Modelling, Coupure links 653
dc.description.affiliationUnespDepartamento de Matemática Aplicada Universidade Estadual Paulista, SP
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipIdCAPES: 001
dc.format.extent44-54
dc.identifierhttp://dx.doi.org/10.1016/j.fss.2021.03.011
dc.identifier.citationFuzzy Sets and Systems, v. 435, p. 44-54.
dc.identifier.doi10.1016/j.fss.2021.03.011
dc.identifier.issn0165-0114
dc.identifier.scopus2-s2.0-85103246146
dc.identifier.urihttp://hdl.handle.net/11449/221709
dc.language.isoeng
dc.relation.ispartofFuzzy Sets and Systems
dc.sourceScopus
dc.subjectGeneralized Hukuhara difference
dc.subjectGeneralized Hukuhara division
dc.subjectHukuhara difference
dc.subjectInclusion isotonic property
dc.titleThe Hukuhara difference, gH-difference and gH-division are not inclusion isotonicen
dc.typeArtigo
dspace.entity.typePublication

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