Dynamical properties in the space of fuzzy numbers

DOI

10.2991/eusflat.2011.5How to use a DOI?

Keywords

Zadeh's extension, fuzzy dynamical system, fuzzification, transitivity, chaotic properties, topological entropy

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.

Copyright

© 2011, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Jiri Kupka
PY  - 2011/08
DA  - 2011/08
TI  - Dynamical properties in the space of fuzzy numbers
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
PB  - Atlantis Press
SP  - 778
EP  - 784
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.5
DO  - 10.2991/eusflat.2011.5
ID  - Kupka2011/08
ER  -