martelli chaotic properties of a generalized form of zadeh’s extension principle
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2014
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Abstract
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.
| Reference Key |
lan2014journalmartelli
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|---|---|
| Authors | ;Yaoyao Lan;Chunlai Mu |
| Journal | Chemico-biological interactions |
| Year | 2014 |
| DOI |
10.1155/2014/956467
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| URL | |
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