Abstract
This paper is devoted to a general concept of openness and closedness with respect to arbitrary fuzzy relations - along with appropriate opening and closure operators. It is shown that the proposed framework unifies existing concepts, in particular, the one for fuzzy preorderings as well as the triangular norm-based approach to fuzzy mathematical morphology.
| Original language | English |
|---|---|
| Pages (from-to) | 220-227 |
| Number of pages | 8 |
| Journal | Soft Computing |
| Volume | 7 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Feb 2003 |
| Externally published | Yes |
Keywords
- Closure
- Fuzzy mathematical morphology
- Fuzzy preordering
- Fuzzy relation
- Opening