• Title of article

    Completely lattice L-ordered sets with and without L-equality

  • Author/Authors

    Martinek، نويسنده , , Pavel، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2011
  • Pages
    12
  • From page
    44
  • To page
    55
  • Abstract
    A relationship between L-order based on an L-equality and L-order based on crisp equality is explored in detail. This enables to clarify some properties of completely lattice L-ordered sets and generalize some related assertions. Namely, Bělohlávekʹs main theorem of fuzzy concept lattices is generalized as well as his theorem dealing with Dedekind–MacNeille completion. Analogously, completion of an L-ordered set via completely lattice L-ordered set of all down-L-sets is described.
  • Keywords
    L-ordered set , Down-L-set , Completely lattice L-ordered set , Fuzzy concept lattice , Fuzzy order , Dedekind–MacNeille completion , Fuzzy equality
  • Journal title
    FUZZY SETS AND SYSTEMS
  • Serial Year
    2011
  • Journal title
    FUZZY SETS AND SYSTEMS
  • Record number

    1601262