Dynamical properties in the space of fuzzy numbers
- Jiri Kupka
- Corresponding Author
- Jiri Kupka
Available Online August 2011.
- https://doi.org/10.2991/eusflat.2011.5How to use a DOI?
- Zadeh's extension, fuzzy dynamical system, fuzzification, transitivity, chaotic properties, topological entropy
- 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.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
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 PB - Atlantis Press SP - 778 EP - 784 SN - 1951-6851 UR - https://doi.org/10.2991/eusflat.2011.5 DO - https://doi.org/10.2991/eusflat.2011.5 ID - Kupka2011/08 ER -