The f -index of inclusion as optimal adjoint pair for fuzzy modus ponens

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dc.centroE.T.S.I. Informáticaes_ES
dc.contributor.authorMadrid-Labrador, Nicolás Miguel
dc.contributor.authorOjeda-Aciego, Manuel
dc.date.accessioned2023-04-21T11:13:49Z
dc.date.available2023-04-21T11:13:49Z
dc.date.issued2023
dc.departamentoMatemática Aplicada
dc.description.abstractWe continue studying the properties of the f -index of inclusion and show that, given a fixed pair of fuzzy sets, their f -index of inclusion can be linked to a fuzzy conjunction which is part of an adjoint pair. We also show that, when this pair is used as the underlying structure to provide a fuzzy interpretation of the modus ponens inference rule, it provides the maximum possible truth-value in the conclusion among all those values obtained by fuzzy modus ponens using any other possible adjoint pair.es_ES
dc.description.sponsorshipPartially supported by the Spanish Ministry of Science, Innovation and Universities (MCIU), State Agency of Research (AEI), Junta de Andalucía (JA), Universidad de Málaga (UMA) and European Regional Development Fund (FEDER) through the projects PGC2018-095869-B-I00 (MCIU/AEI/FEDER) and UMA2018-FEDERJA-001 (JA/UMA/FEDER). Funding for open access charge: Universidad de Málaga / CBUAes_ES
dc.identifier.citationN. Madrid and M. Ojeda-Aciego, The f-index of inclusion as optimal adjoint pair for fuzzy modus ponens, Fuzzy Sets and Systems, https://doi.org/10.1016/j.fss.2023.01.009es_ES
dc.identifier.doi10.1016/j.fss.2023.01.009
dc.identifier.urihttps://hdl.handle.net/10630/26351
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.rightsAtribución 4.0 Internacional*
dc.rights.accessRightsopen accesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectConjuntos difusoses_ES
dc.subjectGalois, Teoría dees_ES
dc.subject.otherFuzzy logices_ES
dc.subject.otherf -index of inclusiones_ES
dc.subject.otherFuzzy inclusiones_ES
dc.subject.otherInclusion measureses_ES
dc.subject.otherResiduated latticees_ES
dc.subject.otherGalois connectiones_ES
dc.titleThe f -index of inclusion as optimal adjoint pair for fuzzy modus ponenses_ES
dc.typejournal articlees_ES
dc.type.hasVersionVoRes_ES
dspace.entity.typePublication
relation.isAuthorOfPublication61640a56-7bdb-4ce5-89e8-b9bbdebe48e9
relation.isAuthorOfPublication701e4bd1-e82c-4c17-b8bc-f1cd5688c8fb
relation.isAuthorOfPublication.latestForDiscovery61640a56-7bdb-4ce5-89e8-b9bbdebe48e9

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