Some results on the weak dominance between t-norms and t-conorms

被引：2

作者：

Li, Gang ^{[1
]}

Zhang, Li -Zhu ^{[1
]}

Wang, Jing ^{[1
]}

Li, Zhen-Bo ^{[2
]}

机构：

[1] Qilu Univ Technol, Shandong Acad Sci, Sch Math & Stat, Jinan 250353, Shandong, Peoples R China

[2] Shandong Univ Finance & Econ, Sch Stat, Jinan 250014, Shandong, Peoples R China

来源：

FUZZY SETS AND SYSTEMS | 2023年 / 467卷

基金：

中国国家自然科学基金;

关键词：

t-Norm; t-Conorm; Dominance; Additive generator; Ordinal sum; TRIANGULAR NORMS;

D O I：

10.1016/j.fss.2023.02.008

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this study, we discuss the weak dominance relation between two binary operations which is closely related with the dominance relation. First, we present some basic properties of the weak dominance and prove that there exists no t-norm weakly dominating a t-conorm. Then we provide the necessary and sufficient conditions of a t-conorm weakly dominating a t-norm for different cases: both are Archimedean or ordinal sums. Lastly, the weak dominance between t-norms is discussed.(c) 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http:// creativecommons .org /licenses /by -nc -nd /4 .0/).

引用

页数：13

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