Rényi entropy of fuzzy dynamical systems

Zahra Eslami Giski, Abolfazl Ebrahimzadeh and Dagmar Markechová

Chaos, Solitons & Fractals, 2019, vol. 123, issue C, 244-253

Abstract: The present paper is devoted to the study of Rényi entropy in the fuzzy case. We define the Rényi entropy of a fuzzy partition and its conditional version and derive basic properties the suggested entropy measures. In particular, it was shown that the Rényi entropy of a fuzzy partition is monotonically decreasing. Consequently, using the proposed concept of Rényi entropy, the notion of Rényi entropy of a fuzzy dynamical system is introduced. Finally, it is proved that the Rényi entropy of a fuzzy dynamical system is invariant under isomorphism of fuzzy dynamical systems.

Keywords: Fuzzy partition; Rényi entropy; Fuzzy dynamical system; Isomorphism (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:123:y:2019:i:c:p:244-253

DOI: 10.1016/j.chaos.2019.01.039

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