Raden Sulaiman
This paper gives a method to determine the number of fuzzy sub- groups of finite group G using diagram of lattice subgroups of G. This method can be used for abelian and non-abelian groups. First, an equivalence relation on the set of all fuzzy subgroups of group G is defined. Second, this paper derive some theorems for determination of the number of fuzzy subgroups associated with some chains on the lattice subgroups of G. Then the demonstration of the method is given by determining the number of fuzzy subgroups of some finite group G. © 2012 Academic Publications, Ltd.
Department of Mathematics, Faculty of Mathematics and Sciences, Universitas Negeri Surabaya, Surabaya, 60231, Indonesia
