Fuzzy conditional inferences and fuzzy inferences with fuzzy quantifiers
M. Mizumoto, Satoru Fukami, Kokichi Tanaka · 1979
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 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 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.