Factorizing formal contexts from closures of necessity operators

Computer Science > Artificial Intelligence [Submitted on 25 Feb 2026] Factorizing formal contexts from closures of necessity operators Roberto G. Aragón, Jesús Medina, Eloísa Ramírez-Poussa 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. Subjects: Artificial Intelligence (cs.AI); Logic in Computer Science (cs.LO) Cite as: arXiv:2604.09582 [cs.AI]   (or arXiv:2604.09582v1 [cs.AI] for this version)   https://doi.org/10.48550/arXiv.2604.09582 Focus to learn more Journal reference: Comp. Appl. Math. 43, 124 (2024) Related DOI: https://doi.org/10.1007/s40314-024-02590-0 Focus to learn more Submission history From: Roberto G. Aragón [view email] [v1] Wed, 25 Feb 2026 19:32:09 UTC (400 KB) Access Paper: HTML (experimental) view license Current browse context: cs.AI < prev   |   next > new | recent | 2026-04 Change to browse by: cs cs.LO References & Citations NASA ADS Google Scholar Semantic Scholar Export BibTeX Citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Demos Related Papers About arXivLabs Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)