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 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.