• DocumentCode
    3092494
  • 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
  • Volume
    4
  • fYear
    2011
  • fDate
    11-13 March 2011
  • Firstpage
    62
  • Lastpage
    64
  • 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;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Research and Development (ICCRD), 2011 3rd International Conference on
  • Conference_Location
    Shanghai
  • Print_ISBN
    978-1-61284-839-6
  • Type

    conf

  • DOI
    10.1109/ICCRD.2011.5763854
  • Filename
    5763854
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3092494