@misc{10498/36874,
year = {2025},
url = {http://hdl.handle.net/10498/36874},
abstract = {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.},
publisher = {Elsevier},
keywords = {Formal concept analysis},
keywords = {Multi-adjoint framework},
keywords = {Independent subcontext},
keywords = {Block of elements},
title = {Independent subcontexts and blocks of concept lattices. Definitions and relationships to decompose fuzzy contexts},
doi = {https://doi.org/10.1016/j.fss.2025.109345},
author = {Medina Moreno, Jesús and García Aragón, Roberto and Ramírez Poussa, Eloísa},
}