title: |
Dynamical properties in the space of fuzzy numbers |
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publication: |
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part of series: |
Advances in Intelligent Systems Research | |
| pages: | 778 - 784 | |
DOI: |
To be assigned soon (how to use a DOI) | |
author(s): |
Ji¡¦r¨ª Kupka |
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publication date: |
July 2011 |
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keywords: |
Zadeh's extension, fuzzy dynamical system,
fuzzification, transitivity, chaotic properties, topological
entropy |
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abstract: |
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. |
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copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |