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

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dc.contributor.authorCosta, Tiago Mendonca da
dc.contributor.authorChalco-Cano, Yurilev
dc.contributor.authorBarros, Laecio Carvalho de
dc.contributor.authorSilva, Geraldo Nunes [UNESP]
dc.contributor.authorBarreto, G. A.
dc.contributor.authorCoelho, R.
dc.contributor.institutionUniv Fed Para
dc.contributor.institutionUniv Tarapaca
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2019-10-04T12:33:09Z
dc.date.available2019-10-04T12:33:09Z
dc.date.issued2018-01-01
dc.description.abstractThis 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.en
dc.description.affiliationUniv Fed Para, Inst Ciencias Exatas & Nat, Belem, Para, Brazil
dc.description.affiliationUniv Tarapaca, Inst Alta Invest, Casilla 7D, Arica, Chile
dc.description.affiliationUniv Estadual Campinas, Inst Matemat Estat & Comp Cient, Campinas, SP, Brazil
dc.description.affiliationUniv Estadual Paulista, Dept Matemat Aplicada, Sao Jose Do Rio Preto, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Dept Matemat Aplicada, Sao Jose Do Rio Preto, SP, Brazil
dc.description.sponsorshipFONDECYT
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipIdFONDECYT: 1151154
dc.description.sponsorshipIdCNPq: 306546/2017-5
dc.description.sponsorshipIdFAPESP: 13/07375-0
dc.format.extent450-463
dc.identifierhttp://dx.doi.org/10.1007/978-3-319-95312-0_39
dc.identifier.citationFuzzy Information Processing, Nafips 2018. Berlin: Springer-verlag Berlin, v. 831, p. 450-463, 2018.
dc.identifier.doi10.1007/978-3-319-95312-0_39
dc.identifier.issn1865-0929
dc.identifier.urihttp://hdl.handle.net/11449/185165
dc.identifier.wosWOS:000452031700039
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofFuzzy Information Processing, Nafips 2018
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subjectJensen's integral inequality
dc.subjectInterval-valued functions
dc.subjectFuzzy-interval-valued functions
dc.titleOrder Relations, Convexities, and Jensen's Integral Inequalities in Interval and Fuzzy Spacesen
dc.typeTrabalho apresentado em evento
dcterms.licensehttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dcterms.rightsHolderSpringer
unesp.author.orcid0000-0003-3072-8695[1]
unesp.author.orcid0000-0002-0694-1755[2]

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