The equivalence relation ‘~’ defined by Murali and Makamba is used to find the number of the distinct fuzzy subgroups of the group  where p, q, r are distinct primes with m and n as positive integers. Using the criss-cut method explained in this paper, explicit formulae are presented.

maximal chain, equivalence, fuzzy subgroups.

Received: October 25, 2021; Accepted: November 30, 2021; Published: April 29, 2022

How to cite this article: Michael Munywoki and Babington Makamba, The number of distinct fuzzy subgroups of the group  for distinct primes p, q, r and , Advances in Fuzzy Sets and Systems 27(1) (2022), 111-138. http://dx.doi.org/10.17654/0973421X22006

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