• DocumentCode
    2150626
  • Title

    Lattices from Arbitrary Relations

  • Author

    Liu, Guilong

  • Author_Institution
    Sch. of Inf. Sci., Beijing Language & Culture Univ., Beijing, China
  • fYear
    2010
  • fDate
    14-16 Aug. 2010
  • Firstpage
    326
  • Lastpage
    329
  • Abstract
    This paper studies relationship between lattices and relations. We show that a topology or a completely distributive lattice structure can be derived by a special mapping of sets. Applying the result to rough approximation operators, we obtain that an arbitrary binary relation can induce two completely distributive lattices. Also we consider the topological properties of binary relations.
  • Keywords
    set theory; topology; approximation operator; binary relation; distributive lattice; lattice structure; set mapping; topology; Approximation methods; Boolean algebra; Indexes; Lattices; Rough sets; Topology; Lattices; Relations; Rough sets; Topologies;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Granular Computing (GrC), 2010 IEEE International Conference on
  • Conference_Location
    San Jose, CA
  • Print_ISBN
    978-1-4244-7964-1
  • Type

    conf

  • DOI
    10.1109/GrC.2010.18
  • Filename
    5576279
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2150626