On Generating of t-Norms and t-Conorms on Bounded Lattices

被引：12
|
作者：
Cayli, Gul Deniz [1 ]
机构：
[1] Karadeniz Tech Univ, Fac Sci, Dept Math, TR-61080 Trabzon, Turkey
来源：
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS | 2020年 / 28卷 / 05期
关键词：
Bounded lattice; T-norm; T-conorm; Ordinal sum; TRIANGULAR NORMS; ORDINAL SUMS; UNINORMS;
D O I：
10.1142/S021848852050035X
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, we study t-norms and t-conorms on bounded lattices. We propose new methods for generating these operators, applicable on any bounded lattice M by use of the presence of a t-norm on [0(M), k] and a t-conorm on [k, 1(M)] for an element k is an element of M/{0(M), 1(M)}. In addition, some corresponding examples are provided for well understanding the structure of new t-norms and t-conorms.
引用
收藏
页码：807 / 835
页数：29
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