Fuzzy Inference as Deduction
作者:
Lluís Godo,
Petr Hájek,
期刊:
Journal of Applied Non-Classical Logics
(Taylor Available online 1999)
卷期:
Volume 9,
issue 1
页码: 37-60
ISSN:1166-3081
年代: 1999
DOI:10.1080/11663081.1999.10510957
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The termfuzzy logichas 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.
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