Title :
On the number of fuzzy subgroups of finite abelian p-groups with type (pn, pm)
Author :
Jia, Songfang ; Chen, Yanheng ; Liu, Jinkui ; Jiang, Youyi
Author_Institution :
Coll. of Math. & Comput. Sci., Chongqing Three Gorges Univ., Chongqing, China
Abstract :
It is well known that a finite abelian group can be written as a direct product of p-groups. Therefor the problem of counting the fuzzy subgroups of finite abelian groups must be first solved for p-groups. In this paper, we determine the number of fuzzy subgroups of finite abelian p-groups with type (pn, pm), and get explicit formula of it, where p is a prime and n is a natural number, m = 1, 2.
Keywords :
fuzzy set theory; group theory; finite abelian p-groups; fuzzy subgroups; Artificial intelligence; Educational institutions; Fuzzy sets; Lattices; Programming; Chains of subgroups; Equivalence; Finite abelian p- group; Fuzzy subgroups;
Conference_Titel :
Computer Research and Development (ICCRD), 2011 3rd International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-61284-839-6
DOI :
10.1109/ICCRD.2011.5763854
