Triangular norms as ordinal sums of semigroups in the sense of A. H. Clifford
Triangular norms as ordinal sums of semigroups in the sense of A. H. Clifford
复制标题
DOI：
10.1007/s002330010127
复制
发表时间：
2002-04
期刊：
影响因子：
0.7
通讯作者：
E. Klement;R. Mesiar;E. Pap
中科院分区：
文献类型：
--
作者：
E. Klement;R. Mesiar;E. Pap
研究了[3]意义下的半群的序和导致三角模[29]，推广了三角模的序和[30]。充分刻画了这些一般序和的和项，并研究了三角模的序不可约性，从而导出了所有三角模类的一个自然划分。
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.