• DocumentCode
    2934320
  • Title

    Intuitionistic fuzzy residuated logic and Galois connection

  • Author

    Zhou, Lei

  • Author_Institution
    Coll. of Math., Chengdu Univ. of Inf. Technol., Chengdu, China
  • Volume
    1
  • fYear
    2010
  • fDate
    1-2 Aug. 2010
  • Firstpage
    249
  • Lastpage
    252
  • Abstract
    This paper aims at developing the logic theories of intuitionistic fuzzy sets. Starting from the intuitionistic fuzzy set and a defined lattice L*, a residuated lattice induced by L* is proposed which shows the structure of truth values of IF logic based on the IF algebra. Some basic properties of logic operation are presented. In the last, we define four pairs of logic operators based on the intuitionistic fuzzy residuated logic and obtain four pairs of Galois connections.
  • Keywords
    Galois fields; fuzzy logic; fuzzy set theory; lattice theory; Galois connection; IF algebra; intuitionistic fuzzy residuated logic; intuitionistic fuzzy sets; residuated lattice; truth values structure; Artificial intelligence; Context; Lattices; Oils; Galois connection; Intuitionistic fuzzy set; intuitionistic fuzzy formal context; residuated lattice;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits,Communications and System (PACCS), 2010 Second Pacific-Asia Conference on
  • Conference_Location
    Beijing
  • Print_ISBN
    978-1-4244-7969-6
  • Type

    conf

  • DOI
    10.1109/PACCS.2010.5626916
  • Filename
    5626916
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2934320