Counting Fuzzy Normal Subgroups of Non-Abelian Finite Groups
B. Davvaz and L. Kamali Ardekani
One of the problems in fuzzy group theory is concerned with classifying the fuzzy subgroups and fuzzy normal subgroups of the finite groups. In early papers we calculated the number of distinct fuzzy subgroups of dicyclic groups, non-abelian groups of order p3 and 24. Now, in this paper, we use the natural equivalence relation introduced by Tărnăuceanu and we determine the number of distinct fuzzy normal subgroups of dicyclic groups, non-abelian groups of order p3 and 24.
Keywords: Fuzzy normal subgroup, chain of subgroups, level subgroups, dicyclic group.
2013 AMS Mathematics Subject Classification: 06D35, 06B75, 20N25.