On the determination of left-continuous t-norms and continuous archimedean t-norms on some segments
✍ Scribed by Sándor Jenei
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Weight
- 383 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0001-9054
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📜 SIMILAR VOLUMES
A simple method of computing the T-sum of special types of fuzzy numbers is introduced. For the Lukasiewicz t-norm TL the proposed method can be applied to the addition of fuzzy numbers with convex membership functions. The classes of fuzzy numbers leading to @-idempotents are studied for continuous
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