On a class of left-continuous \(\text t\)-norms. (English) Zbl 1012.03032

In the paper mutual relations between t-norms and logical weak negations are investigated. The attention is focused on so-called nilpotent minimum t-norms, whose construction is generalized in the paper. In the main results the weak negations compatible with a given t-norm are characterized and, vice versa, also a characterization of continuous t-norms compatible with a given weak negation function is given.


03B52 Fuzzy logic; logic of vagueness
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