Relational correspondences for L-fuzzy rough approximations defined on De Morgan Heyting algebras
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866929197975339008 |
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| author | Järvinen, Jouni Kondo, Michiro |
| author_facet | Järvinen, Jouni Kondo, Michiro |
| contents | We consider fuzzy rough sets defined on De Morgan Heyting algebras. We present a theorem that can be used to obtain several correspondence results between fuzzy rough sets and fuzzy relations defining them. We characterize fuzzy rough approximation operators corresponding to compositions of reflexive, transitive, mediate, Euclidean and adjoint fuzzy relations defined on De Morgan Heyting algebras by using only a single axiom. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_16055 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Relational correspondences for L-fuzzy rough approximations defined on De Morgan Heyting algebras Järvinen, Jouni Kondo, Michiro Rings and Algebras Logic in Computer Science 06D72 We consider fuzzy rough sets defined on De Morgan Heyting algebras. We present a theorem that can be used to obtain several correspondence results between fuzzy rough sets and fuzzy relations defining them. We characterize fuzzy rough approximation operators corresponding to compositions of reflexive, transitive, mediate, Euclidean and adjoint fuzzy relations defined on De Morgan Heyting algebras by using only a single axiom. |
| title | Relational correspondences for L-fuzzy rough approximations defined on De Morgan Heyting algebras |
| topic | Rings and Algebras Logic in Computer Science 06D72 |
| url | https://arxiv.org/abs/2307.16055 |