Martelli Chaotic Properties of a Generalized Form of Zadeh’s Extension Principle
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-31
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Let X denote a compact metric space and let f : X→X be a continuous map.
It is known that a discrete dynamical system (X,f) naturally induces its fuzzified counterpart, that is, a discrete dynamical system on the space of fuzzy compact subsets of X.
In 2011, a new generalized form of Zadeh’s extension principle, so-called g-fuzzification, had been introduced by Kupka 2011.
In this paper, we study the relations between Martelli’s chaotic properties of the original and g-fuzzified system.
More specifically, we study the transitivity, sensitivity, and stability of the orbits in system (X,f) and its connections with the same ones in its g-fuzzified system.
American Psychological Association (APA)
Lan, Yaoyao& Mu, Chunlai. 2014. Martelli Chaotic Properties of a Generalized Form of Zadeh’s Extension Principle. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-511250
Modern Language Association (MLA)
Lan, Yaoyao& Mu, Chunlai. Martelli Chaotic Properties of a Generalized Form of Zadeh’s Extension Principle. Journal of Applied Mathematics No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-511250
American Medical Association (AMA)
Lan, Yaoyao& Mu, Chunlai. Martelli Chaotic Properties of a Generalized Form of Zadeh’s Extension Principle. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-511250
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-511250