FUZZY REASONING UNDER NEW COMPOSITIONAL RULES OF INFERENCE

Abstract

This paper indicates that most of fuzzy translating rules for a fuzzy conditional proposition “If x is A then y is B” with A and B being fuzzy concepts can lead to very reasonable consequences which fit our intuition with respect to several criteria such as modus ponens and modus tollens. Moreover, it is shown that a syllogism holds for most of the methods under the new compositions, though they do not always satisfy the syllogism under the max‐min composition.

Citation

MIZUMOTO, M. (1985), "FUZZY REASONING UNDER NEW COMPOSITIONAL RULES OF INFERENCE", Kybernetes, Vol. 14 No. 2, pp. 107-117. https://doi.org/10.1108/eb005710