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
收藏
页码：244 / 253
页数：10
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