Chaotic fuzzy iterated function systems

被引：0

作者：

Selvy R. ^{[1
]}

Kumar P.B.V. ^{[1
,2
]}

机构：

[1] Rajagiri School of Engineering and Technology, A P J Abdul Kalam Technical University, Kerala

[2] Centre for Topology and Applications, Department of Mathematics, Rajagiri School of Engineering and Technology, A P J Abdul Kalam Technical University, Kerala

来源：

Journal of Intelligent and Fuzzy Systems | 2024年 / 46卷 / 04期

关键词：

chaotic functions; fuzzy functions; Iterated function systems;

D O I：

10.3233/JIFS-236563

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

It is observed that IFSs are defined based on the concept that the iterates take only an integer number of times. This work studies the dynamics of functions, where a function can iterate r times for every r ∈ R. Utilizing concepts from fuzzy sets, r-times iterates of a function are defined for r ∈ R. The study demonstrates that the chaotic property can be generalized to this new iterative concept. The chaotic behavior of a function is then extended using this iterative concept. © 2024 – IOS Press.

引用

页码：9261 / 9270

页数：9

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