title: Some chaotic properties of fuzzified dynamical systems.
abstract: Let X be a compact metric space and [Formula: see text] a continuous map. Considering the space [Formula: see text] of all nonempty fuzzy sets on X endowed with the levelwise topology, we proved that its g-fuzzification is turbulent or erratic if the given system f is turbulent or erratic correspondingly and f is [Formula: see text]-expansive if and only if its g-fuzzification is [Formula: see text]-expansive.
authors.affiliation: School of Mathematical Sciences, University of Electronic Science and Technology of China, 611731 Chengdu, People's Republic of China.
authors.forename: Cuina
authors.initials: C
authors.lastname: Ma
authors.affiliation: School of Mathematical Sciences, University of Electronic Science and Technology of China, 611731 Chengdu, People's Republic of China.
authors.forename: Peiyong
authors.initials: P
authors.lastname: Zhu
authors.affiliation: Department of Mathematics, Sichuan University of Science and Engineering, 643000 Zigong, People's Republic of China.
authors.forename: Tianxiu
authors.initials: T
authors.lastname: Lu
keywords: Erratic; Turbulent; g-Fuzzification; λ-Expansive