Abstract
In this paper, new definitions of L-fuzzy closure operator, L-fuzzy interior operator, L-fuzzy remote neighborhood system, L-fuzzy neighborhood system and L-fuzzy quasi-coincident neighborhood system are proposed. It is proved that the category of L-fuzzy closure spaces, the category of L-fuzzy interior spaces, the category of L-fuzzy remote neighborhood spaces, the category of L-fuzzy quasi-coincident neighborhood spaces, the category of L-fuzzy neighborhood spaces are all isomorphic to the category L-FCS of L-fuzzy closure system spaces.
| Original language | English |
|---|---|
| Pages (from-to) | 127-146 |
| Number of pages | 20 |
| Journal | Iranian Journal of Fuzzy Systems |
| Volume | 10 |
| Issue number | 5 |
| Publication status | Published - Oct 2013 |
Keywords
- Isomorphism of categories
- L-fuzzy closure operator
- L-fuzzy closure system
- L-fuzzy interior operator
- L-fuzzy neighborhood
- L-fuzzy quasi-coincident neighborhood
- L-fuzzy remote neighborhood