Comparison of fuzzy reasoning methods

  • Authors:
  • Masaharu Mizumoto;Hans-Jürgen Zimmermann

  • Affiliations:
  • -;-

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 1982

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Abstract

L.A. Zadeh, E.H. Mamdani, and M. Mizumoto et al. have proposed methods for fuzzy reasoning in which the antecedent involves a fuzzy conditional proposition 'If x is A then y is B', with A and B being fuzzy concepts. Mizumoto et al. have investigated the properties of their methods in the case of 'generalized modus ponens'. This paper deals with the properties of their methods in the case of 'generalized modus tollens', and investigates the other new fuzzy reasoning methods obtained by introducing the implication rules of many valued logic systems. Finally, the properties of syllogism and contrapositive are investigated under each fuzzy reasoning method.