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- Title
Triangular Norms as Ordinal Sums of Semigroups in the Sense of A. H. Clifford.
- Authors
Klement, E. P.; Mesiar, R.; Pap, E.
- Abstract
Ordinal sums of semigroups in the sense of [3] leading to triangular norms [29] are studied, generalizing the ordinal sum of triangular norms [30]. The summands of these general ordinal sums are fully characterized, and the ordinal irreducibility of triangular norms is investigated, inducing a natural partition of the class of all triangular norms.
- Subjects
ORDINAL numbers; MATHEMATICS
- Publication
Semigroup Forum, 2002, Vol 65, Issue 1, p71
- ISSN
0037-1912
- Publication type
Article
- DOI
10.1007/s002330010127