Some Chaotic Properties of Discrete Fuzzy Dynamical Systems

Yaoyao Lan, Qingguo Li, Chunlai Mu and Hua Huang

Abstract and Applied Analysis, 2012, vol. 2012, 1-9

Abstract:

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:875381

DOI: 10.1155/2012/875381

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