Abstract
In this paper, we first construct the function space of (L, M)-fuzzy Q-convergence spaces to show the Cartesian-closedness of the category (L, M)-QC of (L, M)-fuzzy Q-convergence spaces. Secondly, we introduce several subcategories of (L, M)-QC, including the category (L, M)-KQC of (L, M)-fuzzy Kent Q-convergence spaces, the category (L, M)-LQC of (L, M)-fuzzy Q-limit spaces and the category (L, M)-PQC of (L, M)-fuzzy pretopological Q-convergence spaces, and investigate their relationships.
Original language | English |
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Pages (from-to) | 11459-11469 |
Number of pages | 11 |
Journal | Soft Computing |
Volume | 25 |
Issue number | 17 |
DOIs | |
Publication status | Published - Sept 2021 |
Keywords
- (L, M)-fuzzy Q-convergence
- Bireflective (bicoreflective) subcategory
- Cartesian-closedness
- Function space
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Pang, B., & Zhang, L. (2021). Cartesian-closedness and subcategories of (L, M)-fuzzy Q-convergence spaces. Soft Computing, 25(17), 11459-11469. https://doi.org/10.1007/s00500-021-06057-w