Abstract
The term fuzzy logic has two different meanings -broad and narrow. In Zadeh's opinion ([19]), fuzzy logic (in the narrow sense) is an extension of many- valued logic but having a different agenda—as generalized modus ponens, max-min inference, linguistic quantifiers etc. The question we address in this paper is whether there is something in Zadeh's specific agenda which cannot be grasped by “classiceli”, “traditional” mathematical (many-valued) logic....
The term fuzzy logic has two different meanings -broad and narrow. In Zadeh's opinion ([19]), fuzzy logic (in the narrow sense) is an extension of many- valued logic but having a different agenda—as generalized modus ponens, max-min inference, linguistic quantifiers etc. The question we address in this paper is whether there is something in Zadeh's specific agenda which cannot be grasped by “classiceli”, “traditional” mathematical (many-valued) logic. We show that much of fuzzy logic can be understood as classical deduction in a many-sorted many-valued Pavelka- Lukasiewicz style rational quantification logic. This means that, besides the linguistic or approximation aspects, the logical aspect (symbolic, deductive) is present too and can be made explicit.
Journal of Applied Non-Classical Logics – Taylor & Francis
Published: Jan 1, 1999
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