A note on the ordinal sum theorem and its consequence for the construction of triangular norms

Authors:
Sándor Jenei
Affiliations:
Institute of Mathematics and Informatics, University of Pécs, Iffúság u. 6, Pécs, Hungary
Venue:
Fuzzy Sets and Systems
Year:
2002

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Abstract

In this paper, 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.