Addition and subtraction of interactive fuzzy numbers via family of joint possibility distributions

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual de Campinas (UNICAMP)-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.contributorNational Center for Research in Energy and Materials-
Autor(es): dc.creatorEsmi, Estevão-
Autor(es): dc.creatorWasques, Vinícius Francisco [UNESP]-
Autor(es): dc.creatorCarvalho de Barros, Laécio-
Data de aceite: dc.date.accessioned2022-08-04T22:09:27Z-
Data de disponibilização: dc.date.available2022-08-04T22:09:27Z-
Data de envio: dc.date.issued2022-04-28-
Data de envio: dc.date.issued2022-04-28-
Data de envio: dc.date.issued2020-12-31-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1016/j.fss.2021.03.005-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/221712-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/221712-
Descrição: dc.descriptionIn this article we propose a method to calculate the sum and difference of two interactive fuzzy numbers. These arithmetic operations are obtained by the sup-J extension principle, which is a generalization of the Zadeh's extension principle. We show that the proposed addition and subtraction produce fuzzy numbers with smaller width and norm than any other addition and subtraction for fuzzy numbers, obtained by joint possibility distributions. Moreover, we provide a characterization of these operations by means of α-cuts. We compare the proposed interactive addition with the standard one. We also establish connections among the proposed subtraction and the Hukuhara, generalized Hukuhara and generalize differences. Finally, we provide an application in the Malthusian Model in order to illustrate the results.-
Descrição: dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)-
Descrição: dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)-
Descrição: dc.descriptionUniversity of Campinas Department of Applied Mathematics-
Descrição: dc.descriptionSão Paulo State University Department of Mathematics-
Descrição: dc.descriptionNational Center for Research in Energy and Materials Department of Integrated Science Teaching Center-
Descrição: dc.descriptionSão Paulo State University Department of Mathematics-
Descrição: dc.descriptionCNPq: 142414/2017-4-
Descrição: dc.descriptionCNPq: 306546/2017-5-
Descrição: dc.descriptionFAPESP: 313313/2020-2-
Idioma: dc.languageen-
Relação: dc.relationFuzzy Sets and Systems-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectFuzzy arithmetic-
Palavras-chave: dc.subjectInteractive fuzzy numbers-
Palavras-chave: dc.subjectSup-J extension principle-
Título: dc.titleAddition and subtraction of interactive fuzzy numbers via family of joint possibility distributions-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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