Extension principles for fuzzy set theory
type: Item
instance of: scholarly article
title: Extension principles for fuzzy set theory
zbMATH Open document ID: 0929.03055
DOI: 10.1016/S0020-0255(97)10003-2
author: K. Appert
published in: Information Sciences
publication date: 2000-01-25T00:00:00Z
review text: For several cases the authors show that it is possible to extend a notion in classical mathematics by identifying each fuzzy subset with the continuous chain of its closed cuts and by applying this notion of cuts.
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 1307007
zbMATH Keywords: continuous chain of closed cuts
zbMATH Keywords: fuzzy subset
reviewed by: Marian Matłoka
MaRDI profile type: Publication
cites work: A characterization of the extension principle
cites work: Q3309450
cites work: An Extension Principle for Fuzzy Logics
cites work: An extension principle for closure operators
cites work: Q4091811
cites work: Fuzzy topological concepts
cites work: Fuzzy groups
cites work: Q4010280
cites work: Q3776227
cites work: The logic of inexact concepts
cites work: A note on the extension principle for fuzzy sets
cites work: Extension principle in fuzzy optimization
cites work: The concept of a linguistic variable and its application to approximate reasoning. I
full work available at URL: s0020-0255(97)10003-2
OpenAlex ID: W2087838157
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description: scientific article; zbMATH DE number 1307007