On the convex combination of left-continuous t-norms
✍ Scribed by Sándor Jenei
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 382 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0001-9054
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📜 SIMILAR VOLUMES
The problem of whether a non-trivial convex combination of two continuous t-norms with the same diagonal function can be a t-norm is studied. It is shown that in both cases -of two nilpotent and of two strict t-norms -a non-trivial convex combination of t-norms with common diagonal function is assoc
Left-continuity of t-norms on the unit interval [0, 1] is equivalent to the property of suppreserving, but this equivalence does not hold for t-norms on the n-dimensional Euclidean cube [0, 1] n for n ≥ 2. Based on the concept of direct poset we prove that a t-norm on [0, 1] n is left-continuous if