Fuzzy conditional inferences and fuzzy inferences with fuzzy quantifiers

  • Authors:

  • Masaharu Mizumoto;Satoru Fukami;Kokichi Tanaka

  • Affiliations:

  • Department of Management Engineering, Osaka Electro- Communication University, Neyagawa, Osaka, Japan;Yokosuka Electrical Communication Laboratory, Nippon Telegraph and Telephone Public Corporation, Yokosuka, Kanagawa, Japan;Department of Information and Computer Sciences, Osaka University, Toyonaka, Osaka, Japan

  • Venue:
  • IJCAI'79 Proceedings of the 6th international joint conference on Artificial intelligence - Volume 1
  • Year:
  • 1979

Quantified Score

Hi-index 0.00

Visualization

Abstract

L. A. Zadeh and E. H. Mamdani proposed methods for the fuzzy reasonig in which the antecedent involves a fuzzy conditional inference "If x is A then y is B" with A and B being fuzzy concepts. This paper points out that the consequences inferred by their methods do not always fit our intuitions, and suggests some new methods which fit our intuitions under several criteria such as modus ponens and modus tollens. This paper also contains the discussion of the fuzzy inferences whose antecedents have fuzzy quantifiers such as "most", "some" and "many" using our new methods for fuzzy conditional inferences.