What is it about?

This paper has treated classifying the fuzzy (normal) subgroups of D_{2p} *Z_{q} (p, q primes) and all finite groups of order n <= 20, by using the natural equivalence relation, introduced by Tarnauceanu.

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Why is it important?

In this paper, the numbers of maximal chains and the number of all distinct fuzzy (normal) subgroups of the group D_{2p}* Z_{q}, where p; q are prime numbers and p ̸= 2, is obtained. Also, the number of distinct fuzzy (normal) subgroups of all finite groups of order n <= 20 is determined.

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This page is a summary of: Classifying fuzzy (normal) subgroups of the group D 2 p × ℤ q and finite groups of order n ≤ 20, Journal of Intelligent & Fuzzy Systems, November 2017, IOS Press,
DOI: 10.3233/jifs-17301.
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