Extending the fuzzy database with fuzzy numbers
type: Item
instance of: scholarly article
title: Extending the fuzzy database with fuzzy numbers
zbMATH Open document ID: 0555.68069
DOI: 10.1016/0020-0255(84)90021-5
author: B. P. Buckles
author: Fred Petry
published in: Information Sciences
publication date: 1984-01-01T00:00:00Z
review text: The fuzzy relational database model originated by the authors permits fuzzy domain values from a discrete, finite universe. The model is extended here by demonstrating that fuzzy numbers may be employed as domain values without loss of consistency with respect to representation or the relational algebra. Where equivalence is required in an ordinary relational database, similarity is employed in a fuzzy relational database. For discrete, finite universes, similarity between atomic elements is described via a fuzzy similarity relation with max-min transitivity. Two or more fuzzy numbers are defined to be \(\alpha\)- similar if their union forms a continuous \(\alpha\)-level set over the real line. This convention effects the partitioning of fuzzy number domains that is necessary to assure the well-definedness of the fuzzy relational algebra.
Mathematics Subject Classification ID: 68P20
Mathematics Subject Classification ID: 68P05
zbMATH DE Number: 3885357
zbMATH Keywords: fuzzy relational database model
zbMATH Keywords: fuzzy numbers
zbMATH Keywords: fuzzy relational algebra
MaRDI profile type: Publication
full work available at URL: 0020-0255(84)90021-5
OpenAlex ID: W1976060326
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description: scientific article; zbMATH DE number 3885357