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Chaotic iterations of fuzzy sets. (English) Zbl 0746.54010
The author gives sufficient conditions for a continuous mapping from a space of fuzzy sets into itself to be chaotic. The conditions are illustrated by an example involving fuzzy sets defined on \(\mathbb{R}\).
Reviewer: O.Kaleva (Tampere)

54E40 Special maps on metric spaces
54B20 Hyperspaces in general topology
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
03E72 Theory of fuzzy sets, etc.
37B99 Topological dynamics
54E50 Complete metric spaces
Full Text: DOI
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