RT journal article
T1 Identifying Non-Sublattice Equivalence Classes Induced by an Attribute Reduction in FCA
A1 García Aragón, Roberto
A1 Medina Moreno, Jesús
A1 Ramírez Poussa, Eloísa
A2 Estadística e Investigación Operativa
A2 Matemáticas
K1 Formal Concept Analysis
K1 equivalence relations
K1 attribute reduction
AB The detection of redundant or irrelevant variables (attributes) in datasets becomes essential in different frameworks, such as in Formal Concept Analysis (FCA). However, removing such variables can have some impact on the concept lattice, which is closely related to the algebraic structure of the obtained quotient set and their classes. This paper studies the algebraic structure of the induced equivalence classes and characterizes those classes that are convex sublattices of the original concept lattice. Particular attention is given to the reductions removing FCA's unnecessary attributes. The obtained results will be useful to other complementary reduction techniques, such as the recently introduced procedure based on local congruences.
PB MDPI
SN 2227-7390
YR 2021
FD 2021-03
LK http://hdl.handle.net/10498/24777
UL http://hdl.handle.net/10498/24777
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 09-may-2026