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FUZZY REASONING UNDER NEW COMPOSITIONAL RULES OF INFERENCE

MASAHARU MIZUMOTO (Department of Management Engineering, Osaka Electro‐Communication University, Neyagawa, Osaka 572, Japan)

Kybernetes

ISSN: 0368-492X

Article publication date: 1 February 1985

49

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

Publisher

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MCB UP Ltd

Copyright © 1985, MCB UP Limited

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