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Left-continuity of -norms on the -dimensional Euclidean cube

✍ Scribed by Guojun Wang; Wei Wang

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
397 KB
Volume
23
Category
Article
ISSN
0893-9659

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✦ Synopsis

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 and only if it preserves direct sups.

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