• DocumentCode
    498884
  • Title

    On strong Pawlak algebras

  • Author

    Mingfen Wu ; Xiangyun, Wu ; Cao, Xie Cungen

  • Author_Institution
    Sch. of Inf. Sci., Wuyi Univ., Jiangmen, China
  • Volume
    3
  • fYear
    2009
  • fDate
    12-15 July 2009
  • Firstpage
    1399
  • Lastpage
    1404
  • Abstract
    The rough top equality between subsets of a finite set was introduced by Novotny and Pawlak. Liu extended Pawlak rough set algebra to lattice form, called Pawlak algebra. In this paper, Strong Pawlak algebra which is more similar to Pawlak rough set algebra is introduced. Furthermore, Characterizations of strong Pawlak algebra by a complete subalgebra of a fuzzy lattice are obtained. The top equality on a fuzzy lattice L is also characterized, which is a generalization of the top equality on Pawlak rough set algebra.
  • Keywords
    algebra; fuzzy set theory; rough set theory; extended Pawlak rough set algebra; finite set; fuzzy lattice; lattice form; strong Pawlak algebras; Algebra; Cybernetics; Machine learning; Pawlak algebra; Pawlak rough set algebra; Rough set; strong Pawlak algebra; top equality;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Machine Learning and Cybernetics, 2009 International Conference on
  • Conference_Location
    Baoding
  • Print_ISBN
    978-1-4244-3702-3
  • Electronic_ISBN
    978-1-4244-3703-0
  • Type

    conf

  • DOI
    10.1109/ICMLC.2009.5212261
  • Filename
    5212261