Ordinal sums of triangular norms on bounded lattices

被引：14
|
作者：
Ertugrul, Umit [1 ]
Yesilyurt, Merve [1 ]
机构：
[1] Karadeniz Tech Univ, Dept Math, TR-61080 Trabzon, Turkey
来源：
INFORMATION SCIENCES | 2020年 / 517卷
关键词：
T-norm; Bounded lattice; Ordinal sum; Construction method; Subinterval;
D O I：
10.1016/j.ins.2019.12.056
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we deal with the problem of ordinal sum construction for t-norms on subintervals of a given bounded lattice L to obtain a t-norm on L without any additional requirements. Some illustrative examples are added to emphasize the difference of our method from some existing methods in the literature. Finally, we generalize our construction method to ensure its applicability for a greater number of t-norms on the subintervals. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：198 / 216
页数：19
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