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Some considerations on fuzzy conditional inference
Authors:Satoru Fukami  Masaharu Mizumoto  Kokichi Tanaka
Institution:Yokosuka Electrical Communication Laboratory, Nippon Telegraph and Telephone Public Corporation, Yokosuka, Kanagawa 238-03, Japan;Department of Management Engineering, Faculty of Engineering, Osaka Electro-Communication University, Neyagawa, Osaka, 572, Japan;Department of Information and Computer Sciences, Faculty of Engineering Science, Osaka University, Toyonaka, Osaka, 560, Japan
Abstract:In much of human reasoning, the form of reasoning is approximate rather than exact as in ‘A red apple is ripe and this apple is more or less red. Then this apple is more or less ripe.’L.A. Zadeh and E.H. Mamdani suggested methods for such a fuzzy reasoning as an application of fuzzy set theory. The method involves an inference rule and a conditional proposition which contains fuzzy concepts.In this paper we point out that the consequence inferred by their methods does not always fit our intuitions and we suggest the improved methods which fit our intuitions under several criteria.
Keywords:Compositional rule of inference  Fuzzy conditional inference  Implication
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