%0 Journal Article 
%A Medina Moreno, Jesús
%A García Aragón, Roberto
%A Ramírez Poussa, Eloísa
%T Independent subcontexts and blocks of concept lattices. Definitions and relationships to decompose fuzzy contexts
%D 2025
%@ 1872-6801, 0165-0114
%U http://hdl.handle.net/10498/36874
%X The decomposition of datasets is a useful mechanism in the processing of large datasets and it is
required in many cases. In formal concept analysis (FCA), the dataset is interpreted as a context
and 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 concept
lattice framework, which can be translated to other fuzzy approaches. Furthermore, we have
analyzed 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 context
into independent subcontexts. This study will allow to develop algorithms to decompose datasets
with imperfect information.
%K Formal concept analysis
%K Multi-adjoint framework
%K Independent subcontext
%K Block of elements
%~ Universidad de Cádiz