This paper deals with triangular subnorms, which are associative, commutative, non-decreasing operations on the unit interval upper bounded by the minimum. A sharp classification of continuous, proper Archimedean t-subnorms, based upon the fact that either every element is nilpotent or no one, is given. A representation theorem of a topological, fully ordered semigroup, which includes as particular case a subclass of non nilpotent t-subnorms, is provided.
Representation of continuous triangular subnorms
GHISELLI RICCI, Roberto
2004
Abstract
This paper deals with triangular subnorms, which are associative, commutative, non-decreasing operations on the unit interval upper bounded by the minimum. A sharp classification of continuous, proper Archimedean t-subnorms, based upon the fact that either every element is nilpotent or no one, is given. A representation theorem of a topological, fully ordered semigroup, which includes as particular case a subclass of non nilpotent t-subnorms, is provided.File in questo prodotto:
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