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Ojeda Hernández, Manuel De-las-Peñas-Cabrera, Inmaculada Cordero-Ortega, Pablo Muñoz-Velasco, Emilio José 2023-05-08T10:16:02Z 2023-05-08T10:16:02Z 2022-12-28 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. https://hdl.handle.net/10630/26513 https://doi.org/10.1016/j.fss.2022.12.014 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. eng http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 Internacional Galois, Teoría de Matemáticas Fuzzy closure structures as formal concepts journal article