Abstract
This paper studies fuzzy relations in the graded framework of Fuzzy
Class Theory (FCT). This includes (i) rephrasing existing work on
graded properties of binary fuzzy relations in the framework of
Fuzzy Class Theory and (ii) generalizing existing crisp results on
fuzzy relations to the graded framework. Our particular aim is to
demonstrate that Fuzzy Class Theory is a powerful and easy-to-use
instrument for handling fuzzified properties of fuzzy relations.
This paper does not rephrase the whole theory of (fuzzy)
relations; instead, it provides an illustrative introduction showing
some representative results, with a strong emphasis on fuzzy
preorders and fuzzy equivalence relations.
| Original language | English |
|---|---|
| Pages (from-to) | 1729-1772 |
| Number of pages | 44 |
| Journal | Fuzzy Sets and Systems |
| Volume | 159 |
| Issue number | 14 |
| DOIs | |
| Publication status | Published - 2008 |
Fields of science
- 101004 Biomathematics
- 101027 Dynamical systems
- 101028 Mathematical modelling
- 101029 Mathematical statistics
- 101014 Numerical mathematics
- 101015 Operations research
- 101016 Optimisation
- 101017 Game theory
- 101018 Statistics
- 101019 Stochastics
- 101024 Probability theory
- 101026 Time series analysis
- 102 Computer Sciences
- 102001 Artificial intelligence
- 102003 Image processing
- 102004 Bioinformatics
- 102013 Human-computer interaction
- 102018 Artificial neural networks
- 102019 Machine learning
- 103029 Statistical physics
- 106005 Bioinformatics
- 106007 Biostatistics
- 202017 Embedded systems
- 202035 Robotics
- 202036 Sensor systems
- 202037 Signal processing
- 305901 Computer-aided diagnosis and therapy
- 305905 Medical informatics
- 305907 Medical statistics
- 102032 Computational intelligence
- 102033 Data mining
- 101031 Approximation theory