Authors: Janiš, Vladimir
Renčová, Magdaléna
Šešelja, Branimir
Tepavčević, Andreja 
Title: Cut properties of resemblance
Journal: Kybernetika
Volume: 46
Issue: 4
First page: 600
Last page: 608
Issue Date: 1-Dec-2010
Rank: M23
ISSN: 0023-5954
The resemblance relation is used to reflect some real life situations for which a fuzzy equivalence is not suitable. We study the properties of cuts for such relations. In the case of a resemblance on a real line E we show that it determines a special family of crisp functions closely connected to its cut relations. Conversely, we present conditions which should be satisfied by a collection of real functions in E in order that this collection determines a resemblance relation.
Keywords: Cuts | Fuzzy sets | Resemblance relation
Publisher: Institute of Information Theory and Automation

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