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

Detalhes bibliográficos
Autor(a) principal: Costa, T. M. [UNESP]
Data de Publicação: 2022
Outros Autores: Lodwick, W. A., De Baets, B.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.fss.2021.03.011
http://hdl.handle.net/11449/221709
Resumo: This 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.
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spelling The Hukuhara difference, gH-difference and gH-division are not inclusion isotonicGeneralized Hukuhara differenceGeneralized Hukuhara divisionHukuhara differenceInclusion isotonic propertyThis 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.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Departamento de Matemática e Matemática Aplicada Universidade Federal de Lavras, MGDepartamento de Matemática Aplicada Universidade Estadual Paulista, SPDepartment of Mathematical and Statistical Science University of ColoradoInstituto de Ciência e Tecnologia Universidade Federal de São Paulo, SPKERMIT Department of Data Analysis and Mathematical Modelling, Coupure links 653Departamento de Matemática Aplicada Universidade Estadual Paulista, SPCAPES: 001Universidade Federal de Lavras (UFLA)Universidade Estadual Paulista (UNESP)University of ColoradoUniversidade Federal de São Paulo (UNIFESP)KERMITCosta, T. M. [UNESP]Lodwick, W. A.De Baets, B.2022-04-28T19:30:19Z2022-04-28T19:30:19Z2022-05-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article44-54http://dx.doi.org/10.1016/j.fss.2021.03.011Fuzzy Sets and Systems, v. 435, p. 44-54.0165-0114http://hdl.handle.net/11449/22170910.1016/j.fss.2021.03.0112-s2.0-85103246146Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengFuzzy Sets and Systemsinfo:eu-repo/semantics/openAccess2022-04-28T19:30:19Zoai:repositorio.unesp.br:11449/221709Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T22:42:51.063491Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv The Hukuhara difference, gH-difference and gH-division are not inclusion isotonic
title The Hukuhara difference, gH-difference and gH-division are not inclusion isotonic
spellingShingle The Hukuhara difference, gH-difference and gH-division are not inclusion isotonic
Costa, T. M. [UNESP]
Generalized Hukuhara difference
Generalized Hukuhara division
Hukuhara difference
Inclusion isotonic property
title_short The Hukuhara difference, gH-difference and gH-division are not inclusion isotonic
title_full The Hukuhara difference, gH-difference and gH-division are not inclusion isotonic
title_fullStr The Hukuhara difference, gH-difference and gH-division are not inclusion isotonic
title_full_unstemmed The Hukuhara difference, gH-difference and gH-division are not inclusion isotonic
title_sort The Hukuhara difference, gH-difference and gH-division are not inclusion isotonic
author Costa, T. M. [UNESP]
author_facet Costa, T. M. [UNESP]
Lodwick, W. A.
De Baets, B.
author_role author
author2 Lodwick, W. A.
De Baets, B.
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Federal de Lavras (UFLA)
Universidade Estadual Paulista (UNESP)
University of Colorado
Universidade Federal de São Paulo (UNIFESP)
KERMIT
dc.contributor.author.fl_str_mv Costa, T. M. [UNESP]
Lodwick, W. A.
De Baets, B.
dc.subject.por.fl_str_mv Generalized Hukuhara difference
Generalized Hukuhara division
Hukuhara difference
Inclusion isotonic property
topic Generalized Hukuhara difference
Generalized Hukuhara division
Hukuhara difference
Inclusion isotonic property
description This 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.
publishDate 2022
dc.date.none.fl_str_mv 2022-04-28T19:30:19Z
2022-04-28T19:30:19Z
2022-05-15
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1016/j.fss.2021.03.011
Fuzzy Sets and Systems, v. 435, p. 44-54.
0165-0114
http://hdl.handle.net/11449/221709
10.1016/j.fss.2021.03.011
2-s2.0-85103246146
url http://dx.doi.org/10.1016/j.fss.2021.03.011
http://hdl.handle.net/11449/221709
identifier_str_mv Fuzzy Sets and Systems, v. 435, p. 44-54.
0165-0114
10.1016/j.fss.2021.03.011
2-s2.0-85103246146
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Fuzzy Sets and Systems
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 44-54
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808129453311655936

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