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Some Chaotic Properties of Discrete Fuzzy Dynamical Systems

Author

Listed:
  • Yaoyao Lan
  • Qingguo Li
  • Chunlai Mu
  • Hua Huang

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.

Suggested Citation

  • Yaoyao Lan & Qingguo Li & Chunlai Mu & Hua Huang, 2012. "Some Chaotic Properties of Discrete Fuzzy Dynamical Systems," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-9, December.
    • Handle: RePEc:hin:jnlaaa:875381
    DOI: 10.1155/2012/875381
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