Factorizing formal contexts from closures of necessity operators
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866917399934009344 |
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| author | Aragón, Roberto G. Medina, Jesús Ramírez-Poussa, Eloísa |
| author_facet | Aragón, Roberto G. Medina, Jesús Ramírez-Poussa, Eloísa |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_09582 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Factorizing formal contexts from closures of necessity operators Aragón, Roberto G. Medina, Jesús Ramírez-Poussa, Eloísa Artificial Intelligence Logic in Computer Science 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. |
| title | Factorizing formal contexts from closures of necessity operators |
| topic | Artificial Intelligence Logic in Computer Science |
| url | https://arxiv.org/abs/2604.09582 |