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arXiv · 1506.08300

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

Marius Tărnăuceanu
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Abstract

In this paper a new equivalence relation $\approx$ to classify the fuzzy subgroups of finite groups is introduced and studied. This generalizes the equivalence relation $\sim$ defined on the lattice of fuzzy subgroups of a finite group that has been used in our previous papers (see e.g. \cite{16,24}). Explicit formulas for the number of distinct fuzzy subgroups with respect to $\approx$ are obtained in some particular cases.

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Marius Tărnăuceanu. 2015-06-27. A new equivalence relation to classify the fuzzy subgroups of finite groups. https://arxiv.org/abs/1506.08300

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