Fuzzy Reasoning under New Compositional Rules of Inference,

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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 infer very reasonable consequences which fit our intuition with respect to several criteria such as modus ponens and modus tollens, if new compositions called max-O composition and max-A composition are used in the compositional rule of inference, though, as was pointed out previously, reasonable consequences can not always be obtained when using the max-min composition which is used usually in the compositional rule of inference. Author

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