• DocumentCode
    468119
  • Title

    Rough Algebras and Fuzzy Logic Algebras

  • Author

    Zhang, Xiao-Hong

  • Author_Institution
    Ningbo Univ., Nongbo
  • Volume
    1
  • fYear
    2007
  • fDate
    24-27 Aug. 2007
  • Firstpage
    213
  • Lastpage
    216
  • Abstract
    Rough Nelson algebras (rough sets systems) and UL* - algebras arose in two rather different fields: rough sets and fuzzy sets. In present paper, a pair of implication operator (rarrL, rarrG) is introduced using the method by G. Cattaneo and D. Ciucci, and the relationship between rough Nelson algebras (rough sets systems) and UL* - algebras is established as following: the rough nelson algebras (rough sets systems) with (rarrL, rarrG) make a UL* - algebras. Moreover, some properties of semi-simple Nelson algebra are investigated.
  • Keywords
    fuzzy logic; fuzzy set theory; rough set theory; fuzzy logic algebra; fuzzy sets; implication operator; rough Nelson algebra; rough algebra; rough sets systems; Algebra; Fuzzy logic; Fuzzy reasoning; Fuzzy sets; Integral equations; Lattices; Rough sets;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems and Knowledge Discovery, 2007. FSKD 2007. Fourth International Conference on
  • Conference_Location
    Haikou
  • Print_ISBN
    978-0-7695-2874-8
  • Type

    conf

  • DOI
    10.1109/FSKD.2007.495
  • Filename
    4405920