On an equivalence of fuzzy subgroups II

Authors:
V. Murali;B. B. Makamba
Affiliations:
Department of Mathematics (Pure & Applied), Rhodes University, Grahamstown 6140, South Africa;Department of Mathematics, University of Fort Hare, Alice 5700, South Africa
Venue:
Fuzzy Sets and Systems - Logic and algebra
Year:
2003

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Abstract

This paper forms a sequel to the paper "On an Equivalence of Fuzzy Subgroups I". Here we determine the number of distinct equivalence classes of fuzzy subgroups of G = Z p 1 + ... + Z p n where p 1 , p 2 ,...., p n are distinct primes. We introduce the notion of a keychain of a chain of length n + 1 and index of a keychain in order to determine the number of fuzzy subgroups of G . We achieve this by using induction on the index of a keychain.