New construction of an ordinal sum of t-norms and t-conorms on bounded lattices

被引:41
|
作者
Dvorak, Antonin [1 ]
Holcapek, Michal [1 ]
机构
[1] Univ Ostrava, CE IT4Innovat, Inst Res & Applicat Fuzzy Modeling, 30 Dubna 22, CZ-70103 Ostrava, Czech Republic
关键词
T-norms; T-conorms; Bounded lattices; Ordinal sum; TRIANGULAR NORMS; UNINORMS;
D O I
10.1016/j.ins.2019.12.003
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper introduces a new ordinal sum construction of t-norms and t-conorms on bounded lattices based on interior and closure operators. The proposed method generalizes several known constructions and provides a simple tool to introduce new classes of t-norms and t-conorms. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码:116 / 131
页数:16
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