Algebra of generalized Hukuhara differentiable interval-valued functions: review and new properties

Detalhes bibliográficos
Autor(a) principal: Chalco-Cano, Y.
Data de Publicação: 2019
Outros Autores: Maqui-Huamán, Gino G., Silva, G. N. [UNESP], Jiménez-Gamero, M. D.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.fss.2019.04.006
http://hdl.handle.net/11449/187593
Resumo: This article deals with the algebra of gH-differentiable interval-valued functions. Specifically, we give conditions for the gH-differentiability of the sum and the gH-difference of two gH-differentiable interval-valued functions; we also consider the product and the composition of a differentiable real function and a gH-differentiable interval-valued function. We briefly review existing results on the topic and show that some of them are not correct. New properties are also presented. Therefore, this article corrects, complements and generalizes previously obtained results. Some examples and counterexamples illustrate the theory.
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spelling Algebra of generalized Hukuhara differentiable interval-valued functions: review and new propertiesAlgebra of interval-valued functionsFuzzy-valued functionsGeneralized Hukuhara differentiabilityInterval-valued functionsThis article deals with the algebra of gH-differentiable interval-valued functions. Specifically, we give conditions for the gH-differentiability of the sum and the gH-difference of two gH-differentiable interval-valued functions; we also consider the product and the composition of a differentiable real function and a gH-differentiable interval-valued function. We briefly review existing results on the topic and show that some of them are not correct. New properties are also presented. Therefore, this article corrects, complements and generalizes previously obtained results. Some examples and counterexamples illustrate the theory.Departamento de Matemática Universidad de Tarapacá, Casilla 7DInstituto de Ciências Exatas e Naturais Universidade Federal do ParáDepartment of Applied Mathematics Institute of Biosciences Humanities and Exact Sciences São Paulo State University (UNESP)Departamento de Estadística e Investigación Operativa Universidad de SevillaDepartment of Applied Mathematics Institute of Biosciences Humanities and Exact Sciences São Paulo State University (UNESP)Universidad de TarapacáUniversidade Federal do Pará (UFPA)Universidade Estadual Paulista (Unesp)Universidad de SevillaChalco-Cano, Y.Maqui-Huamán, Gino G.Silva, G. N. [UNESP]Jiménez-Gamero, M. D.2019-10-06T15:41:12Z2019-10-06T15:41:12Z2019-11-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article53-69http://dx.doi.org/10.1016/j.fss.2019.04.006Fuzzy Sets and Systems, v. 375, p. 53-69.0165-0114http://hdl.handle.net/11449/18759310.1016/j.fss.2019.04.0062-s2.0-85064714935Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengFuzzy Sets and Systemsinfo:eu-repo/semantics/openAccess2021-10-23T20:19:26Zoai:repositorio.unesp.br:11449/187593Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T22:40:10.998786Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Algebra of generalized Hukuhara differentiable interval-valued functions: review and new properties
title Algebra of generalized Hukuhara differentiable interval-valued functions: review and new properties
spellingShingle Algebra of generalized Hukuhara differentiable interval-valued functions: review and new properties
Chalco-Cano, Y.
Algebra of interval-valued functions
Fuzzy-valued functions
Generalized Hukuhara differentiability
Interval-valued functions
title_short Algebra of generalized Hukuhara differentiable interval-valued functions: review and new properties
title_full Algebra of generalized Hukuhara differentiable interval-valued functions: review and new properties
title_fullStr Algebra of generalized Hukuhara differentiable interval-valued functions: review and new properties
title_full_unstemmed Algebra of generalized Hukuhara differentiable interval-valued functions: review and new properties
title_sort Algebra of generalized Hukuhara differentiable interval-valued functions: review and new properties
author Chalco-Cano, Y.
author_facet Chalco-Cano, Y.
Maqui-Huamán, Gino G.
Silva, G. N. [UNESP]
Jiménez-Gamero, M. D.
author_role author
author2 Maqui-Huamán, Gino G.
Silva, G. N. [UNESP]
Jiménez-Gamero, M. D.
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidad de Tarapacá
Universidade Federal do Pará (UFPA)
Universidade Estadual Paulista (Unesp)
Universidad de Sevilla
dc.contributor.author.fl_str_mv Chalco-Cano, Y.
Maqui-Huamán, Gino G.
Silva, G. N. [UNESP]
Jiménez-Gamero, M. D.
dc.subject.por.fl_str_mv Algebra of interval-valued functions
Fuzzy-valued functions
Generalized Hukuhara differentiability
Interval-valued functions
topic Algebra of interval-valued functions
Fuzzy-valued functions
Generalized Hukuhara differentiability
Interval-valued functions
description This article deals with the algebra of gH-differentiable interval-valued functions. Specifically, we give conditions for the gH-differentiability of the sum and the gH-difference of two gH-differentiable interval-valued functions; we also consider the product and the composition of a differentiable real function and a gH-differentiable interval-valued function. We briefly review existing results on the topic and show that some of them are not correct. New properties are also presented. Therefore, this article corrects, complements and generalizes previously obtained results. Some examples and counterexamples illustrate the theory.
publishDate 2019
dc.date.none.fl_str_mv 2019-10-06T15:41:12Z
2019-10-06T15:41:12Z
2019-11-15
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.2019.04.006
Fuzzy Sets and Systems, v. 375, p. 53-69.
0165-0114
http://hdl.handle.net/11449/187593
10.1016/j.fss.2019.04.006
2-s2.0-85064714935
url http://dx.doi.org/10.1016/j.fss.2019.04.006
http://hdl.handle.net/11449/187593
identifier_str_mv Fuzzy Sets and Systems, v. 375, p. 53-69.
0165-0114
10.1016/j.fss.2019.04.006
2-s2.0-85064714935
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 53-69
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
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