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On the distributivity between t-norms and t-conorms. (English) Zbl 1045.03042

The paper deals with conditions and consequences of distributivity between t-norms and t-conorms defined on a general closed interval (rather than on \([0,1]\)). The research is motivated by the problems connected with the application of those concepts in fuzzy set theory (with the operations of intersection and union) and in the Forte-de Feriet axiomatic theory (with the notions of independence and incompatibility). The main results regard the properties of the mutual distributivity of the t-norms and t-conorms.

MSC:

03E72 Theory of fuzzy sets, etc.
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