New constructions of t-norms and t-conorms on bounded lattices and trellises

被引：0

作者：

Zhao, Yifan ^{[1
]}

Liu, Hua-Wen ^{[1
]}

机构：

[1] Shandong Univ, Sch Math, Jinan, Peoples R China

来源：

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS | 2025年

基金：

中国国家自然科学基金;

关键词：

t-norms; t-conorms; bounded lattices; bounded trellises; TRIANGULAR NORMS; ORDINAL SUMS; BIODIVERSITY; TRANSITIVITY; OPERATORS; PROMOTES;

D O I：

10.1080/03081079.2025.2457559

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we propose a rather effective method to construct t-norms using weak interior operators on appropriate bounded lattices, which covers several construction methods in the literature. We also present a generic construction method for t-norms on bounded trellises with the help of quasi-interior operators. In particular, we give the necessary and sufficient condition for this kind of construction and discuss how to relax the condition. Finally, the dual results for construction of t-conorms via weak (quasi-)closure operators on bounded lattices (trellises) are presented.

引用

页数：21

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