• DocumentCode
    2891287
  • Title

    Separation Axioms in ω-Molecular Lattices

  • Author

    Chen, Shui-Li

  • Author_Institution
    Dept. of Math., Jimei Univ., Fujian
  • fYear
    2006
  • fDate
    13-16 Aug. 2006
  • Firstpage
    1801
  • Lastpage
    1805
  • Abstract
    In this paper, the concepts of ωTi(i = -1, 0, 1, 2) separation axioms, ωθ-closure operator, ωθconvergence, ω*-convergence, (ω1, ω2)-continuity and ω-submolecular lattice in ω-molecular lattices are introduced. Their properties and characterizations are systematically discussed. Some interesting results, such as ωT2 ⇒ωT1 ⇒ ωT0 ⇒ ωT-1 every ωTi(i=-1, 0, 1, 2) separation is hereditary and omega-topological invariant, etc., are given
  • Keywords
    Boolean algebra; fuzzy logic; topology; ωθ-closure operator; ω*-convergence; ωspl theta/-convergence; molecular lattices; Cybernetics; Lattices; Machine learning; Mathematics; Topology; ω-ML; ω-operator; ωR-neighborhood; Fuzzy lattice; Separation axiom; generalized order-homomorphism; molecule lattice;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Machine Learning and Cybernetics, 2006 International Conference on
  • Conference_Location
    Dalian, China
  • Print_ISBN
    1-4244-0061-9
  • Type

    conf

  • DOI
    10.1109/ICMLC.2006.258984
  • Filename
    4028357
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2891287