Strict Archimedean \(t\)-norms and \(t\)-conorms as universal approximators. (English) Zbl 0955.68108

Summary: In knowledge representation, when we have to use logical connectives, various continuous \(t\)-norms and \(t\)-conorms are used. In this paper, we show that every continuous \(t\)-norm and \(t\)-conorm can be approximated, to an arbitrary degree of accuracy, by a strict Archimedean \(t\)-norm (\(t\)-conorm).


68T30 Knowledge representation
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