Representation of Łukasiewicz' many-valued algebras
type: Item
instance of: scholarly article
title: Representation of Łukasiewicz' many-valued algebras
zbMATH Open document ID: 0644.03037
DOI: 10.1016/0022-247X(86)90086-7
author: Michel de Glas
published in: Journal of Mathematical Analysis and Applications
publication date: 1986-01-01T00:00:00Z
review text: This paper extends the Stone representation theory of Boolean algebras, to a representation theory of many-valued Łukasiewicz algebras. It is shown that for \(\theta\)-valued Łukasiewicz algebras, the concept of \(\theta\)-valued fuzzy algebra can play the role that the notion of field of sets plays for the representation of Boolean algebras.
reviewed by: Albert Hoogewijs
Mathematics Subject Classification ID: 03G20
Mathematics Subject Classification ID: 03B50
Mathematics Subject Classification ID: 03B52
zbMATH DE Number: 4049644
zbMATH Keywords: representation theory of many-valued Łukasiewicz algebras
zbMATH Keywords: fuzzy algebra
MaRDI profile type: Publication
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full work available at URL: 0022-247x(86)90086-7
OpenAlex ID: W1980272009
description: scientific article; zbMATH DE number 4049644