• DocumentCode
    1181363
  • Title

    The chaining syllogism in fuzzy logic

  • Author

    Igel, Christian ; Temme, Karl-Heinz

  • Author_Institution
    Lehrstuhl fur Theor. Biol., Ruhr-Univ. Bochum, Germany
  • Volume
    12
  • Issue
    6
  • fYear
    2004
  • Firstpage
    849
  • Lastpage
    853
  • Abstract
    We analyze the validity of the chaining syllogism in fuzzy systems, i.e., whether two fuzzy rules IF F, THEN G, and IF G, THEN H imply the rule IF F, THEN H. Conditions are given under which this basic deduction scheme holds. "If A is predicated of all B, and B of all C, A must necessarily be predicated of all C." ;-The chaining syllogism according to Aristotle\´s Prior Analytics.
  • Keywords
    fuzzy logic; fuzzy set theory; fuzzy systems; chaining syllogism; fuzzy logic; fuzzy system; Calculus; Control systems; Expert systems; Fuzzy control; Fuzzy logic; Fuzzy sets; Fuzzy systems; Hybrid intelligent systems; Sufficient conditions; Chaining syllogism; implication operators; rule chaining;
  • fLanguage
    English
  • Journal_Title
    Fuzzy Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1063-6706
  • Type

    jour

  • DOI
    10.1109/TFUZZ.2004.836078
  • Filename
    1366416