Birkhoff variety theorem and fuzzy logic
type: Item
instance of: scholarly article
title: Birkhoff variety theorem and fuzzy logic
zbMATH Open document ID: 1040.03018
published in: Archive for Mathematical Logic
publication date: 2004-03-07T00:00:00Z
review text: The author, continuing his previous work [ibid. 41, 83--90 (2002; Zbl 1026.03016)], deals with algebras equipped with a fuzzy similarity relation. He proves that such a class of algebras is axiomatized by a fuzzy set of identities iff it is closed under morphisms (defined ad hoc), substructures and direct products. This extends Birkhoff's variety theorem.
Mathematics Subject Classification ID: 03B52
Mathematics Subject Classification ID: 08B05
zbMATH DE Number: 2051462
zbMATH Keywords: fuzzy logic
zbMATH Keywords: fuzzy equality
zbMATH Keywords: variety
author: Radim Belohlavek
reviewed by: Salvatore Sessa
MaRDI profile type: Publication
full work available at URL: s00153-003-0188-9
OpenAlex ID: W2128084377
DOI: 10.1007/S00153-003-0188-9
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description: scientific article; zbMATH DE number 2051462