Characterisation of Archimedean \(t\)-norms and a law of large numbers.

*(English)*Zbl 0788.60041Summary: 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.

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\textit{E. Triesch}, Fuzzy Sets Syst. 58, No. 3, 339--342 (1993; Zbl 0788.60041)

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##### References:

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