Lattices of (generalized) fuzzy ideals in residuated lattices

被引：0

作者：

Zhu, Kuanyun ^{[1
]}

Wang, Jingru ^{[1
]}

Yang, Yongwei ^{[2
]}

机构：

[1] School of Information and Mathematics, Yangtze University, Jingzhou,434023, China

[2] School of Mathematics and Statistics, Anyang Normal University, Anyang,455000, China

来源：

IAENG International Journal of Applied Mathematics | 2020年 / 50卷 / 03期

关键词：

Fuzzy sets;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Abstract-In this paper, we discuss the relationships between fuzzy sets and residuated lattices. In fact, we consider a residuated lattice as a universal set and apply the concept of tipextended pair of fuzzy sets for definition the (generalized) fuzzy ideals. And we explore some new operations of fuzzy sets in a residuated lattice. In particular, associated with the concept of tip-extended pair of fuzzy sets, it is proved, respectively, that the sets of all (generalized) fuzzy ideals form bounded distributive lattices. © 2020 International Association of Engineers.

引用

页码：505 / 511