RT Journal Article
T1 Fuzzy closure structures as formal concepts
A1 Ojeda Hernández, Manuel
A1 De-las-Peñas-Cabrera, Inmaculada
A1 Cordero-Ortega, Pablo
A1 Muñoz-Velasco, Emilio José
K1 Galois, Teoría de
K1 Matemáticas
AB 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.
PB Elsevier
YR 2022
FD 2022-12-28
LK https://hdl.handle.net/10630/26513
UL https://hdl.handle.net/10630/26513
LA eng
NO 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.
NO 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
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 20 ene 2026