• DocumentCode
    3310107
  • Title

    Axiomatic characterizations of rough sets

  • Author

    Xiaonan Li ; Huangjian Yi

  • Author_Institution
    Dept. of Math., Xidian Univ., Xi´an, China
  • Volume
    3
  • fYear
    2011
  • fDate
    26-28 July 2011
  • Firstpage
    1437
  • Lastpage
    1440
  • Abstract
    The paper studies the axiomatization of rough sets. Pawlak matroids are characterized in terms of rank functions and connections between matchings in bipartites and Pawlak matroids are pointed out. Using topological approaches, the Pawlak upper approximation operator is characterized by one condition. Additionally, a possible generalization of Pawlak rough sets based on coverings is pointed out.
  • Keywords
    approximation theory; combinatorial mathematics; rough set theory; topology; Pawlak matroids; Pawlak upper approximation; axiomatic characterizations; bipartites; generalization; rank functions; rough sets; topological approaches; Approximation methods; Bipartite graph; Computer science; Educational institutions; Rough sets; Topology;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems and Knowledge Discovery (FSKD), 2011 Eighth International Conference on
  • Conference_Location
    Shanghai
  • Print_ISBN
    978-1-61284-180-9
  • Type

    conf

  • DOI
    10.1109/FSKD.2011.6019831
  • Filename
    6019831