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arXiv · 2604.09582

Factorizing formal contexts from closures of necessity operators

Roberto G. Aragón·Jesús Medina·Eloísa Ramírez-Poussa
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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.

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Roberto G. Aragón, Jesús Medina, Eloísa Ramírez-Poussa. 2026-02-25. Factorizing formal contexts from closures of necessity operators. https://doi.org/10.1007/s40314-024-02590-0

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