Renyi entropy of fuzzy dynamical systems

被引：8

作者：

Giski, Zahra Eslami ^{[1
]}

Ebrahimzadeh, Abolfazl ^{[2
]}

Markechova, Dagmar ^{[3
]}

机构：

[1] Islamic Azad Univ, Young Researchers & Elite Club, Sirjan Branch, Sirjan, Iran

[2] Islamic Azad Univ, Young Researchers & Elite Club, Zahedan Branch, Zahedan, Iran

[3] Constantine Philosopher Univ Nitra, Dept Math, Fac Nat Sci, A Hlinku 1, SK-94901 Nitra, Slovakia

来源：

CHAOS SOLITONS & FRACTALS | 2019年 / 123卷

关键词：

Fuzzy partition; Renyi entropy; Fuzzy dynamical system; Isomorphism;

D O I：

10.1016/j.chaos.2019.01.039

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The present paper is devoted to the study of Renyi entropy in the fuzzy case. We define the Renyi entropy of a fuzzy partition and its conditional version and derive basic properties the suggested entropy measures. In particular, it was shown that the Renyi entropy of a fuzzy partition is monotonically decreasing. Consequently, using the proposed concept of Renyi entropy, the notion of Renyi entropy of a fuzzy dynamical system is introduced. Finally, it is proved that the Renyi entropy of a fuzzy dynamical system is invariant under isomorphism of fuzzy dynamical systems. (C) 2019 Published by Elsevier Ltd.

引用

页码：244 / 253

页数：10

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