Factorizing formal contexts from closures of necessity operators
Artificial Intelligence
2026-04-14 v1 Logic in Computer Science
Abstract
Factorizing datasets is an interesting process in a multitude of approaches, but many times it is not possible or efficient the computation of a factorization of the dataset. A method to obtain independent subcontexts of a formal context with Boolean data was proposed in~\cite{dubois:2012}, based on the operators used in possibility theory. In this paper, we will analyze this method and study different properties related to the pairs of sets from which a factorization of a formal context arises. We also inspect how the properties given in the classical case can be extended to the fuzzy framework, which is essential to obtain a mechanism that allows the computation of independent subcontexts of a fuzzy context.
Keywords
Cite
@article{arxiv.2604.09582,
title = {Factorizing formal contexts from closures of necessity operators},
author = {Roberto G. Aragón and Jesús Medina and Eloísa Ramírez-Poussa},
journal= {arXiv preprint arXiv:2604.09582},
year = {2026}
}