On unification of categories associated with F -transforms and fuzzy pretopological spaces as Qua category
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866908350481956864 |
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| author | Tripathi, Abha Tiwari, S. P. |
| author_facet | Tripathi, Abha Tiwari, S. P. |
| contents | In this contribution, our motive is to unify the categories associated with F-transforms and fuzzy pretopological spaces as a new category Qua, whose object classes are success measurements of answers and morphisms are pairs of success measurements of transformations. Specifically, the categories of spaces with L-valued fuzzy partitions, L-valued fuzzy lower transformation systems, L-valued fuzzy pretopological spaces, and Cech L-valued fuzzy interior spaces with the morphisms as pairs of L-valued fuzzy relations between the underlying sets of corresponding objects have intriguing relationships with the category Qua. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_02535 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On unification of categories associated with F -transforms and fuzzy pretopological spaces as Qua category Tripathi, Abha Tiwari, S. P. Category Theory In this contribution, our motive is to unify the categories associated with F-transforms and fuzzy pretopological spaces as a new category Qua, whose object classes are success measurements of answers and morphisms are pairs of success measurements of transformations. Specifically, the categories of spaces with L-valued fuzzy partitions, L-valued fuzzy lower transformation systems, L-valued fuzzy pretopological spaces, and Cech L-valued fuzzy interior spaces with the morphisms as pairs of L-valued fuzzy relations between the underlying sets of corresponding objects have intriguing relationships with the category Qua. |
| title | On unification of categories associated with F -transforms and fuzzy pretopological spaces as Qua category |
| topic | Category Theory |
| url | https://arxiv.org/abs/2505.02535 |