• DocumentCode
    2038078
  • Title

    Power group on hypergroup

  • Author

    Ma, Shengmin ; Mi, Honghai ; Huo, Lujing

  • Author_Institution
    Res. Center of Fuzzy Syst., Beijing Normal Univ., Zhuhai, China
  • Volume
    1
  • fYear
    2010
  • fDate
    10-12 Aug. 2010
  • Firstpage
    269
  • Lastpage
    274
  • Abstract
    In this paper, hypergroups are upgraded to their power sets. And the concepts, properties and part of conclusions of hypergroups are summarized. On the basis of the theory of power group, the definition of power group on hypergroup is presented. And the characters and structures of power group on hypergroup are discussed, especially the structures of power group on qua si canonical hypergroup. The problem of homomorphism of power group on hypergroup is presented. And some related theorems and results are derived.
  • Keywords
    group theory; mathematics computing; hypergroups; power group theory; power sets; quasicanonical; Educational institutions; Fuzzy systems; Helium; Kernel;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems and Knowledge Discovery (FSKD), 2010 Seventh International Conference on
  • Conference_Location
    Yantai, Shandong
  • Print_ISBN
    978-1-4244-5931-5
  • Type

    conf

  • DOI
    10.1109/FSKD.2010.5569674
  • Filename
    5569674