Ostrowski-type inequalities for fuzzy-valued functions and its applications in quadrature theory

Detalhes bibliográficos
Autor(a) principal: Costa, T. M. [UNESP]
Data de Publicação: 2020
Outros Autores: Flores-Franulič, A., Chalco-Cano, Y., Aguirre-Cipe, I.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.ins.2020.04.037
http://hdl.handle.net/11449/198775
Resumo: This study provides a new characterization of the switching points for generalized Hukuhara differentiable fuzzy-valued functions. New results on generalized Hukuhara differential and integral calculus for fuzzy-valued functions are developed.Also some Ostrowski-type inequalities for fuzzy-valued functions are obtained, with which is formulated a new quadrature rules to deal with integral of fuzzy-valued functions and show that our results are better than previous ones. Moreover, numerical examples are provided in order to illustrate the applicability of the mathematical tools developed herein.
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spelling Ostrowski-type inequalities for fuzzy-valued functions and its applications in quadrature theoryFuzzy numerical integrationFuzzy Ostrowski-type inequalitiesFuzzy-valued functionsSwitching pointsThis study provides a new characterization of the switching points for generalized Hukuhara differentiable fuzzy-valued functions. New results on generalized Hukuhara differential and integral calculus for fuzzy-valued functions are developed.Also some Ostrowski-type inequalities for fuzzy-valued functions are obtained, with which is formulated a new quadrature rules to deal with integral of fuzzy-valued functions and show that our results are better than previous ones. Moreover, numerical examples are provided in order to illustrate the applicability of the mathematical tools developed herein.Departamento de Matemática Aplicada Universidade Estadual Paulista-UNESPDepartamento de Matemática Universidad de TarapacáDepartamento de Matemática Aplicada Universidade Estadual Paulista-UNESPUniversidade Estadual Paulista (Unesp)Universidad de TarapacáCosta, T. M. [UNESP]Flores-Franulič, A.Chalco-Cano, Y.Aguirre-Cipe, I.2020-12-12T01:21:43Z2020-12-12T01:21:43Z2020-08-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article101-115http://dx.doi.org/10.1016/j.ins.2020.04.037Information Sciences, v. 529, p. 101-115.0020-0255http://hdl.handle.net/11449/19877510.1016/j.ins.2020.04.0372-s2.0-85083889611Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengInformation Sciencesinfo:eu-repo/semantics/openAccess2021-10-22T20:18:18Zoai:repositorio.unesp.br:11449/198775Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:13:03.486756Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Ostrowski-type inequalities for fuzzy-valued functions and its applications in quadrature theory
title Ostrowski-type inequalities for fuzzy-valued functions and its applications in quadrature theory
spellingShingle Ostrowski-type inequalities for fuzzy-valued functions and its applications in quadrature theory
Costa, T. M. [UNESP]
Fuzzy numerical integration
Fuzzy Ostrowski-type inequalities
Fuzzy-valued functions
Switching points
title_short Ostrowski-type inequalities for fuzzy-valued functions and its applications in quadrature theory
title_full Ostrowski-type inequalities for fuzzy-valued functions and its applications in quadrature theory
title_fullStr Ostrowski-type inequalities for fuzzy-valued functions and its applications in quadrature theory
title_full_unstemmed Ostrowski-type inequalities for fuzzy-valued functions and its applications in quadrature theory
title_sort Ostrowski-type inequalities for fuzzy-valued functions and its applications in quadrature theory
author Costa, T. M. [UNESP]
author_facet Costa, T. M. [UNESP]
Flores-Franulič, A.
Chalco-Cano, Y.
Aguirre-Cipe, I.
author_role author
author2 Flores-Franulič, A.
Chalco-Cano, Y.
Aguirre-Cipe, I.
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Universidad de Tarapacá
dc.contributor.author.fl_str_mv Costa, T. M. [UNESP]
Flores-Franulič, A.
Chalco-Cano, Y.
Aguirre-Cipe, I.
dc.subject.por.fl_str_mv Fuzzy numerical integration
Fuzzy Ostrowski-type inequalities
Fuzzy-valued functions
Switching points
topic Fuzzy numerical integration
Fuzzy Ostrowski-type inequalities
Fuzzy-valued functions
Switching points
description This study provides a new characterization of the switching points for generalized Hukuhara differentiable fuzzy-valued functions. New results on generalized Hukuhara differential and integral calculus for fuzzy-valued functions are developed.Also some Ostrowski-type inequalities for fuzzy-valued functions are obtained, with which is formulated a new quadrature rules to deal with integral of fuzzy-valued functions and show that our results are better than previous ones. Moreover, numerical examples are provided in order to illustrate the applicability of the mathematical tools developed herein.
publishDate 2020
dc.date.none.fl_str_mv 2020-12-12T01:21:43Z
2020-12-12T01:21:43Z
2020-08-01
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.ins.2020.04.037
Information Sciences, v. 529, p. 101-115.
0020-0255
http://hdl.handle.net/11449/198775
10.1016/j.ins.2020.04.037
2-s2.0-85083889611
url http://dx.doi.org/10.1016/j.ins.2020.04.037
http://hdl.handle.net/11449/198775
identifier_str_mv Information Sciences, v. 529, p. 101-115.
0020-0255
10.1016/j.ins.2020.04.037
2-s2.0-85083889611
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Information Sciences
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 101-115
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_ 1808129298505138176

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