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Syllogistic reasoning in fuzzy logic and its application to usuality and reasoning with dispositions. (English) Zbl 0593.03033

A fuzzy syllogism in the author’s sense is an inference schema with major and minor premise and conclusion containing fuzzy quantifiers like “most”, “usually” etc. Extending his earlier work on fuzzy logic and commonsense knowledge [e.g. Fuzzy Sets Syst. 11, 199–227 (1983; Zbl 0553.68049); Aspects of vagueness, Theory Decis. Libr. 39, 257–295 (1984)] the ideas of those papers are applied to an enlarged class of schemata for approximate reasoning. The author presents quite interesting proposals to model such generalized, “approximate” syllogisms for use, e.g., in expert systems – but, as before, this is more heuristics than a sound mathematical or logical theory.
Reviewer: S. Latow

MSC:

03E72 Theory of fuzzy sets, etc.
03B52 Fuzzy logic; logic of vagueness
68T99 Artificial intelligence

Citations:

Zbl 0553.68049
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