IJPAM: Volume 78, No. 4 (2012)
FINITE GROUP BY USING THEIR LATTICES
Department of Mathematics
Faculty of Mathematics and Sciences
Universitas Negeri Surabaya
Surabaya, 60231, INDONESIA
Abstract. This paper gives a method to determine the number of fuzzy subgroups of finite group using diagram of lattice subgroups of . This method can be used for abelian and non-abelian groups. First, an equivalence relation on the set of all fuzzy subgroups of group 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 . Then the demonstration of the method is given by determining the number of fuzzy subgroups of some finite group .
Received: August 25, 2011
AMS Subject Classification: 06B05, 20N25, 01-08
Key Words and Phrases: equivalence, lattice, chain, fuzzy subgroup
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395