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Confirmation and denial as plausible modes of fuzzy inference. (English) Zbl 0915.03025

Summary: The two plausible modes of inference, confirmation and denial, which are invalid in classical logic become legitimate in fuzzy logic where rules may be partially true. These modes can provide valid and useful information in the context of expert reasoning. It is shown that for the class of strong implication functions, confirmation and denial functions may be generated which always provide a lower bound on the truth of an assertion.

MSC:

03B52 Fuzzy logic; logic of vagueness
68T27 Logic in artificial intelligence
68T35 Theory of languages and software systems (knowledge-based systems, expert systems, etc.) for artificial intelligence
03B50 Many-valued logic
Full Text: DOI

References:

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