• DocumentCode
    1561044
  • Title

    New minimal axiom group of rough set

  • Author

    Dai, Jianhua ; Chen, Weidong ; Pan, Yunhe

  • Author_Institution
    Inst. of Artificial Intelligence, Zhejiang Univ., China
  • Volume
    3
  • fYear
    2004
  • Firstpage
    2344
  • Abstract
    Rough set axiomatization is one aspect of rough set study, and the purpose is to characterize rough set theory using dependable and minimal axiom groups. Thus, rough set theory can be studied by logic and axiom system methods. To characterize the rough set theory, an axiom group named G, consisting of three axioms, is proposed. The reliability of the axiom group, which shows that characterizing of rough set theory is rational, is proved. Simultaneously, the minimization of the axiom group, which requests that each axiom is an inequality and each is independent, is proved. The axiom group is helpful to research on the rough set theory by logic and axiom system methods.
  • Keywords
    minimisation; rough set theory; axiom system methods; logic methods; minimal axiom groups; reliability; rough set axiomatization; rough set theory; Logic; Mathematics; Redundancy; Reliability theory; Rough sets; Set theory; Sun; Topology; Uncertainty;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Intelligent Control and Automation, 2004. WCICA 2004. Fifth World Congress on
  • Print_ISBN
    0-7803-8273-0
  • Type

    conf

  • DOI
    10.1109/WCICA.2004.1342012
  • Filename
    1342012