THE LATTICE OF FUZZY NORMAL-SUBGROUPS IN MODULAR

被引：23

作者：

AJMAL, N

机构：

[1] Department of Mathematics, Zakir Husain College, University of Delhi, New Delhi, 110002, J.L. Nehru Marg

来源：

INFORMATION SCIENCES | 1995年 / 83卷 / 3-4期

关键词：

D O I：

10.1016/0020-0255(94)00074-L

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We have introduced and discussed in a recent paper [2] various sublattices such as L(f), L(t), and L(fnt) of the lattice L of fuzzy subgroups of a given group. In particular, we proved that the sublattice L(fnt) of fuzzy normal subgroups with finite range and tip ''t'' is a modular sublattice of L. Here, we remove all the restrictions on the choice of fuzzy normal subgroups, and prove that the class of all fuzzy normal subgroups L(n) forms the modular sublattice of L. As a tool, we prove an important result that the fuzzy subgroups generated by a pair of fuzzy normal subgroups of a group is fuzzy normal.

引用

页码：199 / 209

页数：11

共 10 条

[1] FUZZY LATTICES [J].