Factorizing formal contexts from closures of necessity operators

• Published in: Computational & applied mathematics Vol. 43; no. 3
• Main Authors: Aragón, Roberto G., Medina, Jesús, Ramírez-Poussa, Eloísa
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01-04-2024; Springer Nature B.V
• Subjects: Applications of Mathematics; Computational Mathematics and Numerical Analysis; Context; Datasets; Factorization; Mathematical Applications in Computer Science; Mathematical Applications in the Physical Sciences; Mathematics; Mathematics and Statistics; Operators; Formal concept analysis; 03E72; Independent subcontext; 06A15; 08A02; 15A23; Multi-adjoint framework; Factorization
• ISSN: 2238-3603; 1807-0302
• DOI: 10.1007/s40314-024-02590-0

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 Dubois and Prade 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.