A groupoid approach to the study of fuzzy topological spaces
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866909749385101312 |
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| author | Krakulli, Anjeza Pasku, Elton |
| author_facet | Krakulli, Anjeza Pasku, Elton |
| contents | The definition of the complement of a fuzzy subset is algebraic in nature and when it is used in the context of fuzzy topological spaces it does not share any similarity with the usual property of topological spaces that the complement of an open subset is closed. To tackle this inconsistency, we associate to any fuzzy topological space a topological space and use its fundamental groupoid equipped with the Lasso topology to give a topological characterization for the complementation of fuzzy subsets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_16549 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A groupoid approach to the study of fuzzy topological spaces Krakulli, Anjeza Pasku, Elton General Topology The definition of the complement of a fuzzy subset is algebraic in nature and when it is used in the context of fuzzy topological spaces it does not share any similarity with the usual property of topological spaces that the complement of an open subset is closed. To tackle this inconsistency, we associate to any fuzzy topological space a topological space and use its fundamental groupoid equipped with the Lasso topology to give a topological characterization for the complementation of fuzzy subsets. |
| title | A groupoid approach to the study of fuzzy topological spaces |
| topic | General Topology |
| url | https://arxiv.org/abs/2508.16549 |