Fuzzy closure systems: Motivation, definition and properties

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dc.centroE.T.S.I. Informáticaes_ES
dc.contributor.authorOjeda Hernández, Manuel
dc.contributor.authorDe-las-Peñas-Cabrera, Inmaculada
dc.contributor.authorCordero-Ortega, Pablo
dc.contributor.authorMuñoz-Velasco, Emilio José
dc.date.accessioned2022-07-11T07:18:57Z
dc.date.available2022-07-11T07:18:57Z
dc.date.issued2022-09
dc.departamentoMatemática Aplicada
dc.description.abstractThe aim of this paper is to extend closure systems from being crisp sets with certain fuzzy properties to proper fuzzy sets. The presentation of the paper shows a thorough discussion on the different alternatives that could be taken to define the desired fuzzy closure systems. These plausible alternatives are discarded if they are proven impossible to be in a bijective correspondence with closure operators. Finally, a definition of fuzzy closure system is established and a one-to-one relation with closure operators is proved.es_ES
dc.description.sponsorshipThe aim of this paper is to extend closure systems from being crisp sets with certain fuzzy properties to proper fuzzy sets. The presentation of the paper shows a thorough discussion on the different alternatives that could be taken to define the desired fuzzy closure systems. These plausible alternatives are discarded if they are proven impossible to be in a bijective correspondence with closure operators. Finally, a definition of fuzzy closure system is established and a one-to-one relation with closure operators is proved. Funding for open access charge: Universidad de Málaga / CBUAes_ES
dc.identifier.citationManuel Ojeda-Hernández, Inma P. Cabrera, Pablo Cordero, Emilio Muñoz-Velasco, Fuzzy closure systems: Motivation, definition and properties, International Journal of Approximate Reasoning, Volume 148, 2022, Pages 151-161, ISSN 0888-613X, Manuel Ojeda-Hernández, Inma P. Cabrera, Pablo Cordero, Emilio Muñoz-Velasco, Fuzzy closure systems: Motivation, definition and properties, International Journal of Approximate Reasoning, Volume 148, 2022, Pages 151-161, ISSN 0888-613X, https://doi.org/10.1016/j.ijar.2022.06.004es_ES
dc.identifier.doihttps://doi.org/10.1016/j.ijar.2022.06.004
dc.identifier.urihttps://hdl.handle.net/10630/24614
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.accessRightsopen accesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectLógica difusaes_ES
dc.subject.otherFuzzy setes_ES
dc.subject.otherClosure systemes_ES
dc.subject.otherComplete latticees_ES
dc.subject.otherFuzzy logices_ES
dc.subject.otherExtensionales_ES
dc.titleFuzzy closure systems: Motivation, definition and propertieses_ES
dc.typejournal articlees_ES
dc.type.hasVersionVoRes_ES
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscoverye63c8c3e-6161-4761-8cad-6c9ea47e44ae

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