RT Journal Article
T1 Fuzzy closure systems: Motivation, definition and properties
A1 Ojeda Hernández, Manuel
A1 De-las-Peñas-Cabrera, Inmaculada
A1 Cordero-Ortega, Pablo
A1 Muñoz-Velasco, Emilio José
K1 Lógica difusa
AB The aim of this paper is to extend closure systems from being crisp sets with certainfuzzy properties to proper fuzzy sets. The presentation of the paper shows a thoroughdiscussion on the different alternatives that could be taken to define the desired fuzzyclosure systems. These plausible alternatives are discarded if they are proven impossibleto be in a bijective correspondence with closure operators. Finally, a definition of fuzzyclosure system is established and a one-to-one relation with closure operators is proved.
PB Elsevier
YR 2022
FD 2022-09
LK https://hdl.handle.net/10630/24614
UL https://hdl.handle.net/10630/24614
LA eng
NO Manuel Ojeda-Hernández, Inma P. Cabrera, Pablo Cordero, Emilio Muñoz-Velasco, Fuzzy closure systems: Motivation, definition and properties, International Journal of Approximate Reasoning, Volume 148, 2022, Pages 151-161, ISSN 0888-613X, Manuel Ojeda-Hernández, Inma P. Cabrera, Pablo Cordero, Emilio Muñoz-Velasco, Fuzzy closure systems: Motivation, definition and properties, International Journal of Approximate Reasoning, Volume 148, 2022, Pages 151-161, ISSN 0888-613X, https://doi.org/10.1016/j.ijar.2022.06.004
NO The aim of this paper is to extend closure systems from being crisp sets with certainfuzzy properties to proper fuzzy sets. The presentation of the paper shows a thoroughdiscussion on the different alternatives that could be taken to define the desired fuzzyclosure systems. These plausible alternatives are discarded if they are proven impossibleto be in a bijective correspondence with closure operators. Finally, a definition of fuzzyclosure system is established and a one-to-one relation with closure operators is proved. Funding for open access charge: Universidad de Málaga / CBUA
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 24 ene 2026