On fuzzy entropy and topological entropy of fuzzy extensions of dynamical systems

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 2017 English Publisher:Elsevier BVJournal:Fuzzy Sets and Systems, volume 309, pages 115-130 (issn: 0165-0114,

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Authors: Jose S. Cánovas; Jiri Kupka;

doi: 10.1016/j.fss.2015.12.013

On fuzzy entropy and topological entropy of fuzzy extensions of dynamical systems

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Abstract

The concept of degrees of fuzziness due to \textit{A. De Luca} and \textit{S. Termini} [Inf. Control 20, 301--312 (1972; Zbl 0239.94028)] and fuzzy topological entropies and their relationships are studied. Such concepts are necessary for a proper understanding of fuzzy systems generated from crisp discrete dynamical systems. For these concepts, see [the authors, Fuzzy Sets Syst. 165, No. 1, 37--49 (2011; Zbl 1252.37018)].

Related Organizations

University of Ostrava
Czech Republic
Polytechnic University of Cartagena
Spain
University of Cartagena
Colombia

Keywords

Topological entropy, topological entropy, fuzzy set theory, Entropy and other invariants, Theory of fuzzy sets, etc.

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