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 |
Fields of science
- 101 Mathematics
- 101004 Biomathematics
- 101027 Dynamical systems
- 101013 Mathematical logic
- 101028 Mathematical modelling
- 101014 Numerical mathematics
- 101020 Technical mathematics
- 101024 Probability theory
- 102001 Artificial intelligence
- 102003 Image processing
- 102009 Computer simulation
- 102019 Machine learning
- 102023 Supercomputing
- 202027 Mechatronics
- 206001 Biomedical engineering
- 206003 Medical physics
- 102035 Data science