Letting be a metric space, a continuous map, and the space of nonempty fuzzy compact subsets of with the Hausdorff metric, one may study the dynamical properties of the Zadeh's extension . In this paper, we present, as a response to the question proposed by Román-Flores and Chalco-Cano 2008, some chaotic relations between and . More specifically, we study the transitivity, weakly mixing, periodic density in system , and its connections with the same ones in its fuzzified system.
"Some Chaotic Properties of Discrete Fuzzy Dynamical Systems." Abstr. Appl. Anal. 2012 (SI15) 1 - 9, 2012. https://doi.org/10.1155/2012/875381