RT Journal Article T1 Fuzzy Closure Structures as Formal Concepts II A1 Ojeda Hernández, Manuel A1 De-las-Peñas-Cabrera, Inmaculada A1 Cordero-Ortega, Pablo A1 Muñoz-Velasco, Emilio José K1 Matemáticas aplicadas AB This paper is the natural extension of Fuzzy Closure Structures as FormalConcepts. In this paper we take into consideration the concept of closuresystem which is not dealt with in the previous one. Hence, a connectionmust be found between fuzzy ordered sets and a crisp ordered set. Thisproblem is two-fold, the core of the fuzzy orders can be considered in orderto complete the ensemble, or the crisp order can be fuzzified. Both ways arestudied in the paper. The most interesting result is, similarly to the previouspaper, that closure systems are formal concepts of these Galois connectionsas well. PB Elsevier YR 2023 FD 2023-09-24 LK https://hdl.handle.net/10630/27742 UL https://hdl.handle.net/10630/27742 LA eng NO Manuel Ojeda-Hernández, Inma P. Cabrera, Pablo Cordero, Emilio Muñoz-Velasco, Fuzzy Closure Structures as Formal Concepts II, Fuzzy Sets and Systems, 2023, 108734, ISSN 0165-0114, https://doi.org/10.1016/j.fss.2023.108734. NO Funding for open access charge: Universidad de Málaga / CBUAThis 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, the project VALID (PID2022-140630NB-I00 funded by MCIN/ AEI/10.13039/501100011033) and the research projects with reference PGC2018-095869-B-I00, PID2021-127870OB-I00, (MCIU/AEI/FEDER, UE) and UMA18-FEDERJA-001 (JA/ UMA/ FEDER, UE). DS RIUMA. Repositorio Institucional de la Universidad de Málaga RD 20 ene 2026