Abstract
This paper presents the concepts of (L,M)-fuzzy Q-convergence spaces and stratified (L,M)-fuzzy Q-convergence spaces. It is shown that the category of stratified (L,M)-fuzzy Q-convergence spaces is a bireflective sub-category of the category of (L,M)-fuzzy Q-convergence spaces, and the former is a Cartesian-closed topological category. Also, it is proved that the category of stratified (L,M)-fuzzy topological spaces can be embedded in the category of stratified (L,M)-fuzzy Q-convergence spaces as a reflective subcategory, and the former is isomorphic to the category of topological stratified (L,M)-fuzzy Q-convergence spaces.
| Original language | English |
|---|---|
| Pages (from-to) | 95-111 |
| Number of pages | 17 |
| Journal | Iranian Journal of Fuzzy Systems |
| Volume | 13 |
| Issue number | 4 |
| Publication status | Published - 1 Aug 2016 |
| Externally published | Yes |
Keywords
- (Stratified) (L,M)-fuzzy qconvergence structure
- (Stratified) (L,M)-fuzzy topology
- Cartesian-closedness
- Topological category