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Powers of t-norms. (English) Zbl 1001.03050
Summary: We consider the $$r$$th powers of a continuous t-norm for positive real numbers $$r$$, generalizing the notion of the diagonal (2nd power). We identify the increasing functions from the unit interval to itself that are realized as the $$r$$th power of some continuous t-norm. The strict and nilpotent cases are described in detail.

##### MSC:
 3e+72 Theory of fuzzy sets, etc.
##### Keywords:
power of t-norm; isomorphism; continuous t-norm; diagonal
Full Text:
##### References:
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