• DocumentCode
    468118
  • Title

    Properties of Theta-closure in L-Spaces

  • Author

    Cheng, Ji-Shu

  • Author_Institution
    Hangzhou Dianzi Univ., Hangzhou
  • Volume
    1
  • fYear
    2007
  • fDate
    24-27 Aug. 2007
  • Firstpage
    204
  • Lastpage
    208
  • Abstract
    Theta-closure is an important tool for investigation of L-Hausdorff separability, regular separability and H-sets in L-spaces. In this paper, we generalize it to L-spaces and systematically explore the properties of theta-closure, theta-interior and theta-closed sets. Constructions and some characteristic descriptions are formulated. It is proved that theta-closed sets are multiplicative, hereditary and invariant in closed continuous order homomorphism.
  • Keywords
    fuzzy set theory; topology; H-set theory; L-Hausdorff separability; L-spaces; closed continuous order homomorphism; fuzzy topological space; regular separability; theta-closed set; theta-closure; theta-interior; Convergence; Educational institutions; Fuzzy sets; Lattices; Topology;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems and Knowledge Discovery, 2007. FSKD 2007. Fourth International Conference on
  • Conference_Location
    Haikou
  • Print_ISBN
    978-0-7695-2874-8
  • Type

    conf

  • DOI
    10.1109/FSKD.2007.461
  • Filename
    4405918