On the strict logic foundation of fuzzy reasoning
type: Item
instance of: scholarly article
title: On the strict logic foundation of fuzzy reasoning
zbMATH Open document ID: 1066.03039
author: Xianqiang Yang
published in: Soft Computing
publication date: 2005-04-04T00:00:00Z
review text: Logic foundations of fuzzy reasoning are discussed. As an alternative to Zadeh's compositional rule of inference, the triple I method of \textit{G. J. Wang} [Inf. Sci. 117, No. 1--2, 47--88 (1999; Zbl 0939.03031)] is discussed and further developed. After building a complete first-orer formal system \(K^*\) and the many-sorted system \(K^*_{ms}\), the problem of formalization of fuzzy reasoning is studied. Based on the system \(K^*_{ms}\), the triple I algorithms of fuzzy modus ponens and of fuzzy modus tollens and their consistency are formalized.
reviewed by: Radko Mesiar
Mathematics Subject Classification ID: 03B52
Mathematics Subject Classification ID: 68T37
zbMATH DE Number: 2151868
zbMATH Keywords: inference methods
zbMATH Keywords: fuzzy predicate logic
zbMATH Keywords: fuzzy reasoning
MaRDI profile type: Publication
full work available at URL: s00500-003-0312-0
OpenAlex ID: W2000551437
DOI: 10.1007/S00500-003-0312-0
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description: scientific article; zbMATH DE number 2151868