Fuzzy power structures
type: Item
instance of: scholarly article
title: Fuzzy power structures
zbMATH Open document ID: 1156.03051
author: George Georgescu
published in: Archive for Mathematical Logic
publication date: 2008-08-18T00:00:00Z
review text: For every \(n\)-ary operation \(f\) on a set \(X\), one can define an \(n\)-ary operation \(f^+\) on the set \({\mathcal F}(X)\) of fuzzy subsets of \(X\). Any fuzzy relation \(R\) on \(X\) can be extended to a fuzzy relation \(R^+\) on \({\mathcal F}(X)\). In this paper, the author investigates some algebraic properties preserved by the transformation \(\chi \mapsto {\mathcal F}(\chi)\). Then he defines the notions of good, very good, Hoare good and Smith good, and studies the relationships between them.
reviewed by: Fu-Gui Shi
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 08A72
zbMATH DE Number: 5313049
zbMATH Keywords: fuzzy set
zbMATH Keywords: power structure
zbMATH Keywords: fuzzy relation
MaRDI profile type: Publication
full work available at URL: s00153-008-0082-6
OpenAlex ID: W1976869765
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DOI: 10.1007/S00153-008-0082-6
description: scientific article; zbMATH DE number 5313049