一类非直积三角模的构造

吉林大学学报(理学版) ›› 2024, Vol. 62 ›› Issue (5): 1085-1090.

一类非直积三角模的构造

陈子文, 刘西民

大连理工大学数学科学学院, 辽宁大连 116024

收稿日期:2023-12-06 出版日期:2024-09-26 发布日期:2024-09-26
通讯作者: 刘西民 E-mail:ximinliu@dlut.edu.cn

Construction of a Class of Non-direct Product Triangular Norms

CHEN Ziwen, LIU Ximin

School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, Liaoning Province, China

Received:2023-12-06 Online:2024-09-26 Published:2024-09-26

摘要/Abstract

摘要： 考虑乘积格上非直积三角模的构造问题, 给出乘积格上一类非直积三角模, 从而解决了在乘积格上是否存在其他形式非直积三角模的一个公开问题.

关键词: 非直积, 三角模, 乘积格

Abstract: We considered the construction problem of non-direct product triangular norms on product lattices, and gave a class of non-direct product triangular norms on product lattices, thus solving an open problem of whether there were other forms of non-direct product triangular norms on product lattices.

Key words: non-direct product, triangular norm, product lattice

中图分类号:

O159

陈子文, 刘西民. 一类非直积三角模的构造[J]. 吉林大学学报(理学版), 2024, 62(5): 1085-1090.

CHEN Ziwen, LIU Ximin. Construction of a Class of Non-direct Product Triangular Norms[J]. Journal of Jilin University Science Edition, 2024, 62(5): 1085-1090.