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Continuous triangular subnorms. (English) Zbl 1043.03018

Summary: Triangular subnorms are associative commutative non-decreasing operations on the unit interval, upper bounded by the minimum. Continuous triangular subnorms are shown to be an ordinal sum of Archimedean continuous t-subnorms with at most one proper t-subnorm summand. Special attention is paid to generate continuous t-subnorms. An application of continuous t-subnorms to the construction of left-continuous t-norms is shown. Several illustrative examples are included.

MSC:

03B52 Fuzzy logic; logic of vagueness
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