GDL

Journal from gdlhub / 2021-09-02 15:12:16
Oleh : Praveen Kumar & Ayub Khan, Fuzzy Information and Engineering
Dibuat : 2021-09-02, dengan 0 file

Keyword : Zadeh's extension, sensitivity, strong sensitivity, asymptotically sensitive, cofinite sensitivity
Url : http://www.tandfonline.com/doi/full/10.1080/16168658.2021.1915450
Sumber pengambilan dokumen : Web

Every dynamical system (X,f) on a compact metric space X induces a fuzzy dynamical system (F(X),f^), on the space of fuzzy sets F(X), by Zadeh's extension principle. In this paper we consider stronger forms of sensitivity, viz. strong sensitivity, asymptotic sensitivity, syndetic sensitivity, multi-sensitivity and cofinite sensitivity. Some examples are given to expound the interrelation between them. Our main concern here is to find the relationship between f and f^ in terms of these forms of sensitivity. We Prove that these forms of sensitivity for f partially imply the same for f^ and in other way we also get partial induction.

Deskripsi Alternatif :

Every dynamical system (X,f) on a compact metric space X induces a fuzzy dynamical system (F(X),f^), on the space of fuzzy sets F(X), by Zadeh's extension principle. In this paper we consider stronger forms of sensitivity, viz. strong sensitivity, asymptotic sensitivity, syndetic sensitivity, multi-sensitivity and cofinite sensitivity. Some examples are given to expound the interrelation between them. Our main concern here is to find the relationship between f and f^ in terms of these forms of sensitivity. We Prove that these forms of sensitivity for f partially imply the same for f^ and in other way we also get partial induction.

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