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A new equivalence relation to classify the fuzzy subgroups of finite groups

机译:一个新的等价关系,用于对有限组的模糊子组进行分类

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摘要

In this paper a new equivalence relation for classifying the fuzzy subgroups of finite groups is introduced and studied. This generalizes the equivalence relation defined on the lattice of fuzzy subgroups of a finite group that has been used in our previous papers. Explicit formulas for the number of distinct fuzzy subgroups with respect to the new equivalence relation are obtained in some particular cases. (C) 2015 Elsevier B.V. All rights reserved.
机译:本文介绍并研究了一种新的等价关系,用于对有限群的模糊子群进行分类。这概括了在我们以前的论文中使用的有限组的模糊子群的格上定义的等价关系。在某些特定情况下,获得了关于新的等价关系的不同模糊子组数的显式公式。 (C)2015 Elsevier B.V.保留所有权利。

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