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Continuous weakly cancellative triangular subnorms. I: Their web-geometric properties. (English) Zbl 1380.03055

Summary: The paper studies web-geometric properties of continuous weakly cancellative t-subnorms. Particularly, it studies the Reidemeister closure condition which is known from web geometry as a visual characterization of those loops that are associative. As a result, the paper delimits a subset of the domain of a continuous weakly cancellative t-subnorm in which the Reidemeister closure condition is necessarily satisfied.

MSC:

03E72 Theory of fuzzy sets, etc.
03B52 Fuzzy logic; logic of vagueness
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