Some Chaotic Properties of Discrete Fuzzy Dynamical Systems

Letting (X,d) be a metric space, f:X→X a continuous map, and (ℱ(X),D) the space of nonempty fuzzy compact subsets of X with the Hausdorff metric, one may study the dynamical properties of the Zadeh's extension f̂:ℱ(X)→ℱ(X):u↦f̂u. In this paper, we present, as a response to the question proposed...

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Bibliographic Details
Main Authors: Yaoyao Lan, Qingguo Li, Chunlai Mu, Hua Huang
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/875381