RT journal article
T1 Independent subcontexts and blocks of concept lattices. Definitions and relationships to decompose fuzzy contexts
A1 Medina Moreno, Jesús
A1 García Aragón, Roberto
A1 Ramírez Poussa, Eloísa
A2 Matemáticas
K1 Formal concept analysis
K1 Multi-adjoint framework
K1 Independent subcontext
K1 Block of elements
AB The decomposition of datasets is a useful mechanism in the processing of large datasets and it isrequired in many cases. In formal concept analysis (FCA), the dataset is interpreted as a contextand the notion of independent context is relevant in the decomposition of a context. In this paper,we have introduced a formal definition of independent context within the multi-adjoint conceptlattice framework, which can be translated to other fuzzy approaches. Furthermore, we haveanalyzed the decomposition of a general bounded lattice in pieces, that we have called blocks.This decomposition of a lattice has been related to the existence of a decomposition of a contextinto independent subcontexts. This study will allow to develop algorithms to decompose datasetswith imperfect information.
PB Elsevier
SN 1872-6801, 0165-0114
YR 2025
FD 2025
LK http://hdl.handle.net/10498/36874
UL http://hdl.handle.net/10498/36874
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 09-may-2026