Abstract
In this paper, it is shown that the category of L-ordered fuzzifying convergence spaces contains the category of pretopological L-ordered fuzzifying convergence spaces as a bireective subcategory and the latter contains the category of topological L-ordered fuzzifying convergence spaces as a bireective subcategory. Also, it is proved that the category of L-ordered fuzzifying convergence spaces can be embedded in the category of stratified L-ordered convergence spaces as a coreective subcategory.
| Original language | English |
|---|---|
| Pages (from-to) | 77-92 |
| Number of pages | 16 |
| Journal | Iranian Journal of Fuzzy Systems |
| Volume | 13 |
| Issue number | 1 |
| Publication status | Published - 1 Feb 2016 |
| Externally published | Yes |
Keywords
- Category theory
- L-filter
- L-ordered fuzzifying convergence space
- Stratified L-ordered convergence space