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On the logic foundation of fuzzy reasoning. (English) Zbl 0939.03031
Summary: Fuzzy reasoning and fuzzy formal deduction theory are two closely related subjects and each of them has been investigated by many researchers. Unfortunately, it seems that the two branches have not been successfully connected. The aim of this paper is to establish a so-called quasi-propositional deductive system syntactically as well as semantically, and then set a logic foundation for developing the theory of fuzzy reasoning therefrom.

MSC:
03B52 Fuzzy logic; logic of vagueness
68T37 Reasoning under uncertainty in the context of artificial intelligence
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