Composition as a fuzzy conjunction between indexes of inclusion

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dc.centroFacultad de Cienciases_ES
dc.contributor.authorMadrid-Labrador, Nicolás Miguel
dc.contributor.authorOjeda-Aciego, Manuel
dc.date.accessioned2025-12-10T09:25:34Z
dc.date.available2025-12-10T09:25:34Z
dc.date.issued2026-03
dc.departamentoMatemática Aplicadaes_ES
dc.descriptionDispopnible online 21 noviembre de 2025es_ES
dc.description.abstractWe analyze the use of the composition of mappings as a fuzzy conjunction between indexes of inclusion. Instead of the general approach of the φ-index of inclusion, we consider a fresh approach that computes the φ-index of inclusion when restricted to a join-subsemilattice of indexes of inclusion. Under this restriction, we identify a certain join-subsemilattice which has a biresiduated structure when composition is interpreted as conjunction. The main consequence of this biresiduated structure is a representation theorem of biresiduated lattices on the unit interval in terms of the composition and subsets of indexes of inclusion.es_ES
dc.description.sponsorshipFunding for open access charge: Universidad de Málaga / CBUA.es_ES
dc.description.sponsorshipPartially supported by the projects funded by MICIU/AEI and FEDER, UE; by the grant funded by MCIN/AEI and European Union NextGenerationEU/PRTR; and by the project FEDER funded by Junta de Andalucía and FEDER, UE.es_ES
dc.identifier.citationMadrid, N., & Ojeda-Aciego, M. (2026). Composition as a fuzzy conjunction between indexes of inclusion. Fuzzy Sets and Systems, 527, 109685. https://doi.org/10.1016/j.fss.2025.109685es_ES
dc.identifier.doi10.1016/j.fss.2025.109685
dc.identifier.urihttps://hdl.handle.net/10630/41040
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.subjectConjuntos difusoses_ES
dc.subjectLógica difusaes_ES
dc.subject.otherFuzzy logices_ES
dc.subject.otherφ-Index of inclusiones_ES
dc.subject.otherFuzzy inclusiones_ES
dc.subject.otherResiduated latticees_ES
dc.subject.otherGalois connectiones_ES
dc.titleComposition as a fuzzy conjunction between indexes of inclusiones_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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