Order Relations, Convexities, and Jensen's Integral Inequalities in Interval and Fuzzy Spaces

Detalhes bibliográficos
Autor(a) principal: Costa, Tiago Mendonca da
Data de Publicação: 2018
Outros Autores: Chalco-Cano, Yurilev, Barros, Laecio Carvalho de, Silva, Geraldo Nunes [UNESP], Barreto, G. A., Coelho, R.
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/978-3-319-95312-0_39
http://hdl.handle.net/11449/185165
Resumo: This study presents new interval and fuzzy versions of the Jensen's integral inequality, which extend the classical Jensen's integral inequality for real-valued functions, using Aumann and Kaleva integrals. The inequalities for interval-valued functions are interpreted through the preference order relations given by Ishibuchi and Tanaka, which are useful for dealing with interval optimization problems. The order relations adopted in the space of fuzzy intervals are extensions of those considered the interval spaces.
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spelling Order Relations, Convexities, and Jensen's Integral Inequalities in Interval and Fuzzy SpacesJensen's integral inequalityInterval-valued functionsFuzzy-interval-valued functionsThis study presents new interval and fuzzy versions of the Jensen's integral inequality, which extend the classical Jensen's integral inequality for real-valued functions, using Aumann and Kaleva integrals. The inequalities for interval-valued functions are interpreted through the preference order relations given by Ishibuchi and Tanaka, which are useful for dealing with interval optimization problems. The order relations adopted in the space of fuzzy intervals are extensions of those considered the interval spaces.FONDECYTConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Univ Fed Para, Inst Ciencias Exatas & Nat, Belem, Para, BrazilUniv Tarapaca, Inst Alta Invest, Casilla 7D, Arica, ChileUniv Estadual Campinas, Inst Matemat Estat & Comp Cient, Campinas, SP, BrazilUniv Estadual Paulista, Dept Matemat Aplicada, Sao Jose Do Rio Preto, SP, BrazilUniv Estadual Paulista, Dept Matemat Aplicada, Sao Jose Do Rio Preto, SP, BrazilFONDECYT: 1151154CNPq: 306546/2017-5FAPESP: 13/07375-0SpringerUniv Fed ParaUniv TarapacaUniversidade Estadual de Campinas (UNICAMP)Universidade Estadual Paulista (Unesp)Costa, Tiago Mendonca daChalco-Cano, YurilevBarros, Laecio Carvalho deSilva, Geraldo Nunes [UNESP]Barreto, G. A.Coelho, R.2019-10-04T12:33:09Z2019-10-04T12:33:09Z2018-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject450-463http://dx.doi.org/10.1007/978-3-319-95312-0_39Fuzzy Information Processing, Nafips 2018. Berlin: Springer-verlag Berlin, v. 831, p. 450-463, 2018.1865-0929http://hdl.handle.net/11449/18516510.1007/978-3-319-95312-0_39WOS:000452031700039Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengFuzzy Information Processing, Nafips 2018info:eu-repo/semantics/openAccess2021-10-23T19:23:18Zoai:repositorio.unesp.br:11449/185165Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:36:16.898479Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Order Relations, Convexities, and Jensen's Integral Inequalities in Interval and Fuzzy Spaces
title Order Relations, Convexities, and Jensen's Integral Inequalities in Interval and Fuzzy Spaces
spellingShingle Order Relations, Convexities, and Jensen's Integral Inequalities in Interval and Fuzzy Spaces
Costa, Tiago Mendonca da
Jensen's integral inequality
Interval-valued functions
Fuzzy-interval-valued functions
title_short Order Relations, Convexities, and Jensen's Integral Inequalities in Interval and Fuzzy Spaces
title_full Order Relations, Convexities, and Jensen's Integral Inequalities in Interval and Fuzzy Spaces
title_fullStr Order Relations, Convexities, and Jensen's Integral Inequalities in Interval and Fuzzy Spaces
title_full_unstemmed Order Relations, Convexities, and Jensen's Integral Inequalities in Interval and Fuzzy Spaces
title_sort Order Relations, Convexities, and Jensen's Integral Inequalities in Interval and Fuzzy Spaces
author Costa, Tiago Mendonca da
author_facet Costa, Tiago Mendonca da
Chalco-Cano, Yurilev
Barros, Laecio Carvalho de
Silva, Geraldo Nunes [UNESP]
Barreto, G. A.
Coelho, R.
author_role author
author2 Chalco-Cano, Yurilev
Barros, Laecio Carvalho de
Silva, Geraldo Nunes [UNESP]
Barreto, G. A.
Coelho, R.
author2_role author
author
author
author
author
dc.contributor.none.fl_str_mv Univ Fed Para
Univ Tarapaca
Universidade Estadual de Campinas (UNICAMP)
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Costa, Tiago Mendonca da
Chalco-Cano, Yurilev
Barros, Laecio Carvalho de
Silva, Geraldo Nunes [UNESP]
Barreto, G. A.
Coelho, R.
dc.subject.por.fl_str_mv Jensen's integral inequality
Interval-valued functions
Fuzzy-interval-valued functions
topic Jensen's integral inequality
Interval-valued functions
Fuzzy-interval-valued functions
description This study presents new interval and fuzzy versions of the Jensen's integral inequality, which extend the classical Jensen's integral inequality for real-valued functions, using Aumann and Kaleva integrals. The inequalities for interval-valued functions are interpreted through the preference order relations given by Ishibuchi and Tanaka, which are useful for dealing with interval optimization problems. The order relations adopted in the space of fuzzy intervals are extensions of those considered the interval spaces.
publishDate 2018
dc.date.none.fl_str_mv 2018-01-01
2019-10-04T12:33:09Z
2019-10-04T12:33:09Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1007/978-3-319-95312-0_39
Fuzzy Information Processing, Nafips 2018. Berlin: Springer-verlag Berlin, v. 831, p. 450-463, 2018.
1865-0929
http://hdl.handle.net/11449/185165
10.1007/978-3-319-95312-0_39
WOS:000452031700039
url http://dx.doi.org/10.1007/978-3-319-95312-0_39
http://hdl.handle.net/11449/185165
identifier_str_mv Fuzzy Information Processing, Nafips 2018. Berlin: Springer-verlag Berlin, v. 831, p. 450-463, 2018.
1865-0929
10.1007/978-3-319-95312-0_39
WOS:000452031700039
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Fuzzy Information Processing, Nafips 2018
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 450-463
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv Web of Science
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_ 1808129225265250304

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