• DocumentCode
    1712658
  • Title

    Closures of fuzzy linguistic truth value with regards to the extension principle

  • Author

    Kikuchi, Hiroaki

  • Author_Institution
    Dept. of Inf. Media Technol., Tokai Univ., Kanagawa, Japan
  • Volume
    3
  • fYear
    2001
  • fDate
    6/23/1905 12:00:00 AM
  • Firstpage
    1416
  • Lastpage
    1419
  • Abstract
    We studied non-convex or sub-normal linguistic truth values that has not been considered so far. The logical operations based on the extension principle are closed into VN, VC and V R and arbitrary intersection of any of these is also closed. There are infinite number of subsets outside of the convex truth value, that are classified by the ranks. We show that a set of linguistic truth values of a common rank is not closed
  • Keywords
    fuzzy logic; fuzzy set theory; truth maintenance; algebraic systems; closed subset; extension principle; fuzzy logic; fuzzy set theory; fuzzy truth value; interval-valued logic; linguistic truth values; Algebra; Fuzzy logic; Fuzzy set theory; Fuzzy sets; Fuzzy systems; Information technology; Logic functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems, 2001. The 10th IEEE International Conference on
  • Conference_Location
    Melbourne, Vic.
  • Print_ISBN
    0-7803-7293-X
  • Type

    conf

  • DOI
    10.1109/FUZZ.2001.1008924
  • Filename
    1008924
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1712658