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Some Chaotic Properties of Discrete Fuzzy Dynamical Systems
Joint Authors
Lan, Yaoyao
Huang, Hua
Li, Qingguo
Mu, Chunlai
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-01-09
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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 by Román-Flores and Chalco-Cano 2008, some chaotic relations between f and f̂.
More specifically, we study the transitivity, weakly mixing, periodic density in system (X,f), and its connections with the same ones in its fuzzified system.
American Psychological Association (APA)
Lan, Yaoyao& Li, Qingguo& Mu, Chunlai& Huang, Hua. 2013. Some Chaotic Properties of Discrete Fuzzy Dynamical Systems. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-505387
Modern Language Association (MLA)
Lan, Yaoyao…[et al.]. Some Chaotic Properties of Discrete Fuzzy Dynamical Systems. Abstract and Applied Analysis No. 2012 (2012), pp.1-9.
https://search.emarefa.net/detail/BIM-505387
American Medical Association (AMA)
Lan, Yaoyao& Li, Qingguo& Mu, Chunlai& Huang, Hua. Some Chaotic Properties of Discrete Fuzzy Dynamical Systems. Abstract and Applied Analysis. 2013. Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-505387
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-505387