THE NUMBER OF DISTINCT FUZZY SUBGROUPS OF THE GROUP r p q Z n × Z m × Z FOR DISTINCT PRIMES p, q, r AND m, n ∈ Z+

Abstract

The equivalence relation ‘~’ defined by Murali and Makamba is used to find the number of the distinct fuzzy subgroups of the group r , p q Z n × Z m × Z where p, q, r are distinct primes with m and n as Received: October 25, 2021; Accepted: November 30, 2021 2020 Mathematics Subject Classification: Primary 20N25, 03E72; Secondary 20K01, 20K27. Keywords and phrases: maximal chain, equivalence, fuzzy subgroups. How to cite this article: Michael Munywoki and Babington Makamba, The number of distinct fuzzy subgroups of the group r Zpn × Zqm × Z for distinct primes p, q, r and , m, n ∈ Z+ Advances in Fuzzy Sets and Systems 27(1) (2022), 111-138.