Classifying fuzzy subgroups of the abelian group Zp1× Zp2×···× Zpn for distinct primes p1, p2,···, pn

Abstract

In this paper, we classify the fuzzy subgroups of the group G= Zp1× Zp2×···× Zpn where p1, p2,···, pn are distinct primes and n∈ Z+. We develop an algorithm for counting the distinct fuzzy subgroups of the group G using the criss-cut counting technique. This is achieved by using the maximal chains of subgroups of G and the equivalence relation given by Murali and Makamba in their research papers on equivalent fuzzy subgroups