Fuzzy inferences by algebraic method
type: Item
instance of: scholarly article
title: Fuzzy inferences by algebraic method
zbMATH Open document ID: 0929.46064
DOI: 10.1016/S0165-0114(96)00035-8
author: Shiro Ishikawa
published in: Fuzzy Sets and Systems
publication date: 2000-01-11T00:00:00Z
review text: The author gives a fuzzy measurement theory, which is more general than the measurement theory for classical and quantum systems. This approach is given in terms of \(C^*\)-algebras, proposing the identification ``measurement = inference'' as axiom. Several results are given in terms of fuzzy syllogisms for classical systems.
reviewed by: Salvatore Sessa
Mathematics Subject Classification ID: 46S40
Mathematics Subject Classification ID: 81P15
Mathematics Subject Classification ID: 46L60
zbMATH DE Number: 1255747
zbMATH Keywords: quantum mechanics
zbMATH Keywords: fuzzy observable
zbMATH Keywords: fuzzy inference
zbMATH Keywords: fuzzy syllogism
zbMATH Keywords: measurement theory for classical and quantum systems
zbMATH Keywords: measurement = inference
MaRDI profile type: Publication
cites work: Q4169795
cites work: Q3962015
cites work: Uncertainty relations in simultaneous measurements for arbitrary observables
cites work: Q5795295
cites work: Q5624220
cites work: Q5531981
cites work: Fuzzy sets
full work available at URL: s0165-0114(96)00035-8
OpenAlex ID: W2094602375
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description: scientific article; zbMATH DE number 1255747