Regular left-continuous t-norms
β Scribed by Thomas Vetterlein
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 677 KB
- Volume
- 77
- Category
- Article
- ISSN
- 0037-1912
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π SIMILAR VOLUMES
A new method for constructing (left-continuous) t-norms is introduced and analyzed in this paper. We shall construct via embedding a left-continuous t-norm from any countable residuated totally and densely ordered commutative integral monoid. Moreover, we can construct a left-continuous t-norm from
This third and last part of a series of position papers on triangular norms (for
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 β₯ 2. Based on the concept of direct poset we prove that a t-norm on [0, 1] n is left-continuous if