Characterizing Ordinal Sum for t-norms and t-conorms on Bounded Lattices

被引:2
|
作者
Cayli, Gull Deniz [1 ]
机构
[1] Karadeniz Tech Univ, Fac Sci, Dept Math, TR-61080 Trabzon, Turkey
关键词
TRIANGULAR NORMS; UNINORMS; ORDER;
D O I
10.1007/978-3-319-66830-7_40
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The ordinal sum of triangular norms on the unit interval has been proposed to construct new triangular norms. However, considering general bounded lattices, the ordinal sum of triangular norms and conorms may not generate triangular norms and conorms. In this paper, we study and propose some new construction methods yielding triangular norms and conorms on general bounded lattices. Moreover, we generalize these construction methods by induction to a ordinal sum construction for triangular norms and conorms, applicable on any bounded lattice. And some illustrative examples are added for clarity.
引用
收藏
页码:443 / 454
页数:12
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