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Characterisation of Archimedean \(t\)-norms and a law of large numbers. (English) Zbl 0788.60041
Summary: We study a law of large numbers for mutually \(T\)-related fuzzy numbers where \(T\) is an Archimedean \(t\)-norm and extend earlier results of Fullér in this area. In particular, we show that the class of Archimedean \(t\)-norms can be characterised by the validity of a very general law of large numbers for sequences of \(L-R\) fuzzy numbers.

MSC:
60F15 Strong limit theorems
03E72 Theory of fuzzy sets, etc.
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