%0 Journal Article
%T On fuzzy subgroups of finite Abelian groups
%A B. Humera
%A Z. Raza
%J International Mathematical Forum
%D 2013
%I 
%X In this paper,we determine the number of fuzzy subgroups of finite abelian group $ G = Z_{p_1}times Z_{p_2} timescdotstimes Z_{p_n},$ where $ p_1,p_2,ldots,p_n $ are all distinct primes. We have used the equivalence relation on the fuzzy subgroups of any group $G$ defined by Sulaiman and Abdul Ghafur cite{GS}in order to determine all fuzzy subgroups of the above mentioned group. We also determined the number of fuzzy subgroups of abelian group $G=Z_{p^n}times Z_q$ under the same equivalence relation.
%K partial ordered set
%K equivalence
%K lattice
%K chain
%K fuzzy subgroup
%U http://www.m-hikari.com/imf/imf-2013/1-4-2013/humeraIMF1-4-2013.pdf