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Geometry of finite-dimensional normed spaces, and continuous functions on the Euclidean sphere

✍ Scribed by V. V. Makeev


Publisher
Springer US
Year
2007
Tongue
English
Weight
166 KB
Volume
140
Category
Article
ISSN
1573-8795

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Left-continuity of -norms on the -dimens
✍ Guojun Wang; Wei Wang πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 397 KB

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