Abstract
In this paper, the relations between M-fuzzifying cotopologies and M-fuzzifying closure systems, and the relations between M-fuzzifying convex structures and M-fuzzifying closure systems are studied, respectively. A categorical approach is provided to present these relations. It is shown that the category of M-fuzzifying cotopological spaces and the category of M-fuzzifying convex spaces are both bicoreflective subcategories of the category of M-fuzzifying closure spaces.
| Original language | English |
|---|---|
| Pages (from-to) | 613-620 |
| Number of pages | 8 |
| Journal | Journal of Intelligent and Fuzzy Systems |
| Volume | 33 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2017 |
Keywords
- Bicoreflective subcategory
- M-fuzzifying closure system
- M-fuzzifying convex structure
- M-fuzzifying cotopology