Entropy of Dynamical Systems on Interval-Valued Intuitionistic Fuzzy Sets

被引：0
|
作者：
Nazari, Zohreh [1 ]
Mosapour, Batool [2 ]
Zangiabadi, Elham [1 ]
Ebrahimzadeh, Abolfazl [3 ]
机构：
[1] Vali E Asr Univ Rafsanjan, Dept Math, Rafsanjan, Iran
[2] Farhangian Univ, Dept Math, Kerman, Iran
[3] Islamic Azad Univ, Zahedan Branch, Young Researchers & Elite Club, Zahedan, Iran
来源：
NEW MATHEMATICS AND NATURAL COMPUTATION | 2023年 / 19卷 / 02期
关键词：
Interval-valued intuitionistic fuzzy set; Shannon entropy; conditional entropy; dynamical system; TSALLIS ENTROPY; PARTITIONS;
D O I：
10.1142/S1793005723500217
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work, we introduce the concepts of Shannon entropy and conditional entropy of experiments in the interval-valued intuitionistic fuzzy case, and study the basic properties of the information measures. Subsequently, by means of the suggested notion of entropy of partitions, we define the entropy of a dynamical system on interval-valued intuitionistic fuzzy sets (IVIF). A version of the Kolmogorov-Sinai theorem on generators for dynamical systems on the IVIF is proved. It is shown that this entropy is an invariant under isomorphisms of interval-valued intuitionistic fuzzy dynamical systems; thus, we obtain a tool for distinguishing some non-isomorphic interval-valued intuitionistic fuzzy dynamical systems. The proposed measure can be used as a measure of information of experiment whose outcomes are interval-valued intuitionistic fuzzy events.
引用
收藏
页码：541 / 556
页数：16
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