• DocumentCode
    553000
  • Title

    Implication Algebra on a partially ordered set with s-property

  • Author

    Zhi-Wei Li ; Gui-hua Li

  • Author_Institution
    Sch. of Math. Sci., Capital Normal Univ., Beijing, China
  • Volume
    1
  • fYear
    2011
  • fDate
    26-28 July 2011
  • Firstpage
    167
  • Lastpage
    170
  • Abstract
    Implication Algebra on a partially ordered set is a kind of algebraic abstraction of implicative connection in logic systems which values in a partially ordered set. The algebra is endowed with a condition, s-property, to form a kind of new algebra in this paper. Then the logic properties of the new algebra are proposed. The concept of valuation mapping from this new algebra into s-unit interval. And some properties of the valuation mapping are obtained.
  • Keywords
    algebra; fuzzy set theory; algebraic abstraction; logic systems; partially ordered set; s-property; s-unit interval; valuation mapping; Cost accounting; Fuzzy logic; Fuzzy sets; Lattices; Upper bound; fuzzy logic; implication algebra on a partially ordered set; s-property; valuation mapping;
  • 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.2011.6019476
  • Filename
    6019476