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A note to a construction of t-norms based on pseudo-inverses of monotone functions. (English) Zbl 0953.26009
Summary: Many constructions of t-norms are known in the literature. This paper discusses a construction of t-norms by the pseudo-inverse of a non-decreasing function. The necessity and the sufficiency of some conditions of this construction are analyzed. Some easily verifiable sufficient conditions of this construction are given.

##### MSC:
 2.6e+51 Fuzzy real analysis 3e+72 Theory of fuzzy sets, etc.
##### Keywords:
monotone functions; triangular norm; t-norms; pseudo-inverse
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##### References:
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