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Fuzzy closure structures as formal concepts
dc.contributor.author | Ojeda Hernández, Manuel | |
dc.contributor.author | De-las-Peñas-Cabrera, Inmaculada | |
dc.contributor.author | Cordero-Ortega, Pablo | |
dc.contributor.author | Muñoz-Velasco, Emilio José | |
dc.date.accessioned | 2023-05-08T10:16:02Z | |
dc.date.available | 2023-05-08T10:16:02Z | |
dc.date.created | 2023-05-08 | |
dc.date.issued | 2022-12-28 | |
dc.identifier.citation | Manuel Ojeda-Hernández, Inma P. Cabrera, Pablo Cordero, Emilio Muñoz-Velasco, Fuzzy closure structures as formal concepts, Fuzzy Sets and Systems, Volume 463, 2023, 108458, ISSN 0165-0114, https://doi.org/10.1016/j.fss.2022.12.014. | es_ES |
dc.identifier.uri | https://hdl.handle.net/10630/26513 | |
dc.description.abstract | Galois connections seem to be ubiquitous in mathematics. They have been used to model solutions for both pure and application-oriented problems. Throughout the paper, the general framework is a complete fuzzy lattice over a complete residuated lattice. The existence of three fuzzy Galois connections (two antitone and one isotone) between three specific ordered sets is proved in this paper. The most interesting part is that fuzzy closure systems, fuzzy closure operators and strong fuzzy closure relations are formal concepts of these fuzzy Galois connections. | es_ES |
dc.description.sponsorship | This 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 FPU19/01467 (MCIU) internship and the research projects with reference PGC2018-095869-B-I00, TIN2017-89023-P, PID2021-127870OB-I00 (MCIU/AEI/FEDER, UE) and UMA18-FEDERJA-001 (JA/ UMA/ FEDER, UE). Funding for open access charge: Universidad de Málaga / CBUA | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Elsevier | es_ES |
dc.rights | info:eu-repo/semantics/openAccess | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Galois, Teoría de | es_ES |
dc.subject | Matemáticas | es_ES |
dc.subject.other | Closure system | es_ES |
dc.subject.other | Galois connection | es_ES |
dc.subject.other | Fuzzy lattice | es_ES |
dc.title | Fuzzy closure structures as formal concepts | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.centro | Facultad de Ciencias | es_ES |
dc.identifier.doi | https://doi.org/10.1016/j.fss.2022.12.014 | |
dc.rights.cc | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.type.hasVersion | info:eu-repo/semantics/publishedVersion | es_ES |