• DocumentCode
    1963306
  • Title

    The Decomposition and Representation Theorem of Rough Fuzzy Set

  • Author

    Gong, Zengtai ; Shao, Yabin

  • Author_Institution
    Coll. of Math. & Inf. Sci., Northwest Normal Univ., Lanzhou
  • fYear
    2008
  • fDate
    23-25 May 2008
  • Firstpage
    192
  • Lastpage
    196
  • Abstract
    In this paper, aimed at rough fuzzy sets, the concept of four kinds upper (lower) lambda- cut sets and stronger lambda-cut sets are introduced. Finally, the new operators cup,cap,c and a kind of new nested sets are put forward. Using them, the decomposition and the representation theorems are obtained. With this change, relatively less information will be lost in the decision-making process. It gives us new theoretical basis for information process.
  • Keywords
    fuzzy set theory; rough set theory; decision-making process; decomposition theorems; representation theorems; rough fuzzy set; Decision making; Educational institutions; Fuzzy sets; Information processing; Information science; Information systems; Mathematics; Rough sets; Set theory; Uncertainty; Decomposition theorem; Nested sets; Representation theorem; Rough fuzzy set;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Processing (ISIP), 2008 International Symposiums on
  • Conference_Location
    Moscow
  • Print_ISBN
    978-0-7695-3151-9
  • Type

    conf

  • DOI
    10.1109/ISIP.2008.82
  • Filename
    4554083