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Record type:	stať ve sborníku (D)
Home Department:	Ústav pro výzkum a aplikace fuzzy modelování (94410)
Title:	Dynamical properties in the space of fuzzy numbers
Citace	Kupka, J. Dynamical properties in the space of fuzzy numbers. In: Proceedings of EUSFLAT-2011 and LFA-2011. Atlantis Press., 2011. s. 778-784. ISBN 978-90-78677-00-0.

Subtitle
Publication year:	2011
Obor:	Obecná matematika
Number of pages:	7
Page from:	778
Page to:	784
Form of publication:
ISBN code:	978-90-78677-00-0
ISSN code:
Proceedings title:	Proceedings of EUSFLAT-2011 and LFA-2011
Proceedings:	Mezinárodní
Publisher name:	Atlantis Press.
Place of publishing:	Neuveden
Country of Publication:	Sborník vydaný v zahraničí
Název konference:	EUSFLAT-LFA 2011
Místo konání konference:	Aix-Les-Bains
Datum zahájení konference:
Typ akce podle státní příslušnosti účastníků:	Celostátní akce
WoS code:
EID:

Key words in English:	Zadeh's extension, fuzzy dynamical system, fuzzification, transitivity, chaotic properties, topological entropy
Annotation in original language:	This paper is a contribution to the theoretical foundations of the theory of fuzzy dynamical systems. More precisely, we study relations between a given discrete dynamical system on the space X and its fuzzy counterpart - Zadeh's extension defined on the space of fuzzy sets on X. We provide a short discussion and a brief survey of some recent results devoted to various (especially chaotic) dynamical properties, a special attention is paid to fuzzifications on the space of fuzzy numbers, i.e., to fuzzy sets with connected -cuts.
Annotation in english language:

References

Reference

R01:	RIV/61988987:17610/11:A12012TT

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