(∈,∈∨ q)-fuzzy normal, quasinormal and maximal subgroups

Sandeepd Kumar Bhakat

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(∈,∈∨ q)-fuzzy normal, quasinormal and maximal subgroups

机译：（∈，∈∨q）-模糊正态，拟正态和最大子群

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摘要

The notions of (∈,∈∨ q)-fuzzy normality and quasinormality for a (∈,∈∨ q)-fuzzy subgroup are introduced. The notions of an (∈,∈ ∨ q)-fuzzy core subgroup, (∈,∈)-and an (∈,∈∨ q)-fuzzy p-slow subgroup are also introduced and some fundamental properties are dealt with.(∈,∈∨ q)-fuzzy normality and (∈,∈∨ q)-fuzzy quasinormality are found to be more generalized concepts than those introduced by others. A detailed study with a fuzzy maximal subgroup is incorporated with the limitation of this concept.

机译：介绍了（ε，ε∨q）-模糊子群的（ε，ε∨q）-模糊正态和拟正态的概念。还介绍了（ε，∈∨q）-模糊核子群（ε，∈）-和（ε，ε∨q）-模糊p-慢子群的概念，并讨论了一些基本性质。发现，∈∨q）-模糊正态性和（∈，∈∨q）-模糊准正态性比其他人引入的概念更笼统。在此概念的限制下，结合了带有模糊最大子集的详细研究。

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来源
《Fuzzy sets and systems》 |2000年第2期|299-312|共14页
作者
Sandeepd Kumar Bhakat;
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作者单位

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类模糊数学;
关键词
Fuzzy algebra(∈,∈∨ q)-fuzzy subgroup(∈,∨ q)-level subset(∈ , ∈∨ q)-fuzzy normal subgroup;

机译：模糊代数（∈;∈∨q）-模糊子群（∈;∨q）-水平子集（∈;∈∨q）-模糊正规子群;

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(∈,∈∨ q)-fuzzy normal, quasinormal and maximal subgroups

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