A note on the ordinal sum theorem and its consequence for the construction of triangular norms. (English) Zbl 0996.03508

Jenei, Sándor

Fuzzy Sets Syst. 126, No. 2, 199-205 (2002).

Summary: The well-known ordinal sum theorem of semigroups is generalized and applied to construct new families of triangular subnorms and triangular norms (t-norms). Among them one can find several new families of left-continuous t-norms too.

MSC:

03E72

Theory of fuzzy sets, etc.

Keywords:

t-norms; ordinal sum; triangular norms

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