• DocumentCode
    443974
  • Title

    Rough sets on atomic Boolean lattices

  • Author

    Li, Tong-jun ; Zhang, Wen-xiu ; Ma, Jian-min

  • Author_Institution
    Inst. for Inf. & Syst. Sci., Xi´´an Jiaotong Univ., China
  • Volume
    1
  • fYear
    2005
  • fDate
    25-27 July 2005
  • Firstpage
    176
  • Abstract
    In this paper, the lower and upper generalized rough approximation operators on complete atomic Boolean lattices are studied by means of constructive and axiomatic approaches. In constructive approach, a pair of lower and upper rough approximation operators is first defined. The connections between binary relations on complete atomic Boolean lattices and rough approximation operators are established. In axiomatic approach, the axiomatic characterization of various classes of approximation operators are given.
  • Keywords
    Boolean algebra; fuzzy reasoning; rough set theory; atomic Boolean lattice; rough approximation operator; rough set theory; Algebra; Educational institutions; Helium; Information systems; Intelligent systems; Lattices; Oceans; Rough sets; Set theory; Rough sets; approximation operators; atomic Boolean lattices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Granular Computing, 2005 IEEE International Conference on
  • Print_ISBN
    0-7803-9017-2
  • Type

    conf

  • DOI
    10.1109/GRC.2005.1547261
  • Filename
    1547261