Dynamical properties in the space of fuzzy numbers
نویسنده
چکیده
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 α-cuts.
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