T-norms and t-conorms on a family of lattices

被引：4
|
作者：
Bejines, C. [1 ]
机构：
[1] Czech Tech Univ, Fac Elect Engn, Dept Cybernet, Prague, Czech Republic
来源：
FUZZY SETS AND SYSTEMS | 2022年 / 439卷
关键词：
T-norm; t-Conorm; Lattice; Archimedean; Divisible; 1-Lipschitz; TRIANGULAR NORMS; BOUNDED LATTICES; ORDINAL SUMS; UNINORMS;
D O I：
10.1016/j.fss.2021.05.008
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This paper provides a complete classification of all t-norms on a family of lattices in terms of t-norms on discrete chains. Moreover, the cardinal of some classes on discrete chains is computed. Therefore, the number of t-norms on the family of lattices is obtained. Also, new results involving Archimedean and divisible t-norms are presented. Finally, we bring out dual results for t-conorms. (c) 2021 Elsevier B.V. All rights reserved.
引用
收藏
页码：55 / 74
页数：20
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