✦ LIBER ✦
On (un)suitable fuzzy relations to model approximate equality
✍ Scribed by Martine De Cock; Etienne Kerre
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 193 KB
- Volume
- 133
- Category
- Article
- ISSN
- 0165-0114
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper we state that fuzzy equivalence relations in general are not suitable to model approximate equality, since then the notion of transitivity is counter-intuitive. To substantiate this we investigate some of the undesirable results caused by transitivity, among other things in the case of approximate reasoning. We then introduce a new framework to model approximate equality, i.e. the concept of a pseudometric based resemblance relation. We go into the properties of this new kind of fuzzy relation and illustrate it by means of some examples.