• DocumentCode
    2546297
  • Title

    An embedding theorem of hypersemigroups in terms of fuzzy sets

  • Author

    Xie, Xiang-Yun ; Wang, Lifeng

  • Author_Institution
    Sch. of Math. & Comput. Sci., Wuyi Univ., Jiangmen, China
  • fYear
    2012
  • fDate
    29-31 May 2012
  • Firstpage
    39
  • Lastpage
    42
  • Abstract
    In this paper we prove that if S is a hypersemigroup, then the set F(S) of all fuzzy subsets of S is a poe-semigroup, that is a partially ordered semigroup with the greatest element e. Furthermore, we prove that S can be embedded F(S).
  • Keywords
    fuzzy set theory; group theory; embedding theorem; fuzzy subsets; hypersemigroups; partially ordered semigroup; poe semigroup; Computers; Educational institutions; Electronic mail; Fuzzy sets; Fuzzy systems; Lattices; Hypersemigroups; fuzzy sets; ordered semigroups;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems and Knowledge Discovery (FSKD), 2012 9th International Conference on
  • Conference_Location
    Sichuan
  • Print_ISBN
    978-1-4673-0025-4
  • Type

    conf

  • DOI
    10.1109/FSKD.2012.6234006
  • Filename
    6234006
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2546297