Abstract
This paper is devoted to a class of fuzzy orderings which
play a fundamental role in decision analysis and fuzzy control - strongly linear fuzzy (weak) orderings. First, we see that any relation of that kind can be decomposed into a crisp linear ordering and a fuzzy equivalence relation. As a consequence, a general representation theorem follows. Finally, a method for constructing strongly linear fuzzy orderings from pseudo-metrics is presented.
| Original language | English |
|---|---|
| Title of host publication | Proc. EUSFLAT-ESTYLF Joint Conference |
| Number of pages | 4 |
| Publication status | Published - Sept 1999 |
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