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A note on a nilpotent lower bound of nilpotent triangular norms. (English) Zbl 0930.03075

Fuzzy Sets Syst. 104, No. 1, 27-34 (1999); corrigendum ibid. 104, No. 1, 137 (1999).
The authors prove that there exists a nilpotent upper (! see corrigendum) bound for a finite set of nilpotent t-norms. Essential tools for the proof are additive generators of t-norms and the theory of superadditive functions. An illustrative example is presented. The results can be applied to t-norm-based addition of fuzzy numbers, to fuzzy equivalence relations and to fuzzy partitions.

MSC:

03E72 Theory of fuzzy sets, etc.
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References:

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