Fuzzy relational Galois connections between fuzzy transitive digraphs

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dc.centroFacultad de Cienciases_ES
dc.contributor.authorDe-las-Peñas-Cabrera, Inmaculada
dc.contributor.authorCordero-Ortega, Pablo
dc.contributor.authorMuñoz-Velasco, Emilio José
dc.contributor.authorOjeda-Aciego, Manuel
dc.contributor.authorDe Baets, Bernard
dc.date.accessioned2023-05-08T10:36:29Z
dc.date.available2023-05-08T10:36:29Z
dc.date.created2023-05-06
dc.date.issued2022-12-28
dc.departamentoMatemática Aplicada
dc.description.abstractWe present a fuzzy version of the notion of relational Galois connection between fuzzy transitive directed graphs (fuzzy T-digraphs) on the specific setting in which the underlying algebra of truth values is a complete Heyting algebra. The components of such fuzzy Galois connection are fuzzy relations satisfying certain reasonable properties expressed in terms of the so-called full powering. Moreover, we provide a necessary and sufficient condition under which it is possible to construct a right adjoint for a given fuzzy relation between a fuzzy T-digraph and an unstructured set.es_ES
dc.description.sponsorshipThis research is partially supported by the State Agency of Research (AEI), the Spanish Ministry of Science, Innovation and Universities (MCIU), the European Social Fund (FEDER), the Junta de Andalucía (JA), and the Universidad de Málaga (UMA) through the research projects with reference PGC2018-095869-B-I00, PID2021-127870OB-I00, (MCIU/AEI/FEDER, UE) and UMA18-FEDERJA-001 (JA/ UMA/ FEDER, UE). B. De Baets was supported by the Flemish Government under the “Onderzoeksprogramma Artificiële Intelligentie (AI) Vlaanderen” programme. Funding for open access charge: Universidad de Málaga / CBUAes_ES
dc.identifier.citationI.P. Cabrera, P. Cordero, E. Muñoz-Velasco, M. Ojeda-Aciego, B. De Baets, Fuzzy relational Galois connections between fuzzy transitive digraphs, Fuzzy Sets and Systems, Volume 463, 2023, 108456, ISSN 0165-0114, https://doi.org/10.1016/j.fss.2022.12.012.es_ES
dc.identifier.doihttps://doi.org/10.1016/j.fss.2022.12.012
dc.identifier.urihttps://hdl.handle.net/10630/26514
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.subjectGalois, Teoría dees_ES
dc.subject.otherGalois connectiones_ES
dc.subject.otherFuzzy transitive digraphes_ES
dc.titleFuzzy relational Galois connections between fuzzy transitive digraphses_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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