In this paper, we classify fuzzy subgroups of some rank-2 and rank-3 finite abelian groups and then present explicit formulae for the  number of distinct fuzzy subgroups in each of the cases. We provide illustrative examples as well.

rank, maximal subgroup, maximal chain, equivalence, fuzzy subgroup, distinguishing factor.

Received: December 2, 2021; Accepted: February 15, 2022; Published: September 10, 2022

How to cite this article: I. K. Appiah and B. B. Makamba, Formulae for the number of distinct fuzzy subgroups of some rank-3 groups, Advances in Fuzzy Sets and Systems 27(2) (2022), 189-241. http://dx.doi.org/10.17654/0973421X22010

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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