A CHARACTERIZATION OF UNINORMS ON BOUNDED LATTICES VIA CLOSURE AND INTERIOR OPERATORS

被引：0
作者：
Cayli, Gul Deniz [1 ]
机构：
[1] Karadeniz Tech Univ, Fac Sci, Dept Math, TR-61080 Trabzon, Turkiye
来源：
KYBERNETIKA | 2023年 / 59卷 / 05期
关键词：
bounded lattice; closure operator; uninorm; interior operator; T-norm; T-; conorm; TRIANGULAR NORMS; T-NORMS; CONSTRUCTIONS;
D O I：
10.14736/kyb-2023-5-0768
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
Uninorms on bounded lattices have been recently a remarkable field of inquiry. In the present study, we introduce two novel construction approaches for uninorms on bounded lattices with a neutral element, where some necessary and sufficient conditions are required. These constructions exploit a t-norm and a closure operator, or a t-conorm and an interior operator on a bounded lattice. Some illustrative examples are also included to help comprehend the newly added classes of uninorms.
引用
收藏
页码：768 / 790
页数：23
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