RT Journal Article
T1 Fuzzy algebras of concepts
A1 Ojeda Hernández, Manuel
A1 López-Rodríguez, Domingo
A1 Cordero-Ortega, Pablo
K1 Algebra
K1 Disfusiones
AB Preconcepts are basic units of knowledge that form the basis of formal concepts in formal concept analysis (FCA). This paper investigates the relations among different kinds of preconcepts, such as protoconcepts, meet and join-semiconcepts and formal concepts. The first contribution of this paper, is to present a fuzzy powerset lattice gradation, that coincides with the preconcept lattice at its 1-cut. The second and more significant contribution, is to introduce a preconcept algebra gradation that yields different algebras for protoconcepts, semiconcepts, and concepts at different cuts. This result reveals new insights into the structure and properties of the different categories of preconcepts.
PB MDPI
YR 2023
FD 2023-03-26
LK https://hdl.handle.net/10630/26994
UL https://hdl.handle.net/10630/26994
LA eng
NO Ojeda-Hernández M, López-Rodríguez D, Cordero P. Fuzzy Algebras of Concepts. Axioms. 2023; 12(4):324. https://doi.org/10.3390/axioms12040324
NO Partial funding for open access charge: Universidad de Málaga
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 20 ene 2026