Counting Fuzzy Subgroups of Some Finite Groups by a New Equivalence Relation

被引：1
|
作者：
Ardekani, Leili Kamali [1 ]
机构：
[1] Ardakan Univ, Fac Engn, POB 184, Ardakan, Iran
来源：
FILOMAT | 2019年 / 33卷 / 19期
关键词：
Equivalence relation; Fuzzy subgroup; Chain of subgroups; Level subgroup; Automorphism group; Dihedral group; NON-ABELIAN GROUPS; NUMBER;
D O I：
10.2298/FIL1919151K
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The study concerning the classification of the fuzzy subgroups of finite groups is a significant aspect of fuzzy group theory. In early papers, the number of distinct fuzzy subgroups of some non-abelian groups is calculated by the natural equivalence relation. In this paper, we treat to classifying fuzzy subgroups of some groups by a new equivalence relation which has a consistent group theoretical foundation. In fact, we determine exact number of fuzzy subgroups of finite non-abelian groups of order p(3) and special classes of dihedral groups.
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页码：6151 / 6160
页数：10
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