轨道模糊迭代函数系统生成的模糊分形的表征

IF 1.4 4区数学 Q1 MATHEMATICS

Carpathian Journal of Mathematics Pub Date : 2022-03-22 DOI:10.37193/cjm.2022.03.06

Radu Miculescu, Alexandru Mihail, Irina Savu

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引用次数: 0

摘要

轨道模糊迭代函数系统是将迭代模糊集系统和轨道迭代函数系统的概念结合起来得到的。结果表明，对于这样一个系统，其对应的模糊算子是弱Picard，其不动点称为模糊分形。本文给出了轨道模糊迭代函数系统的模糊分形的一个结构结果，证明了轨道模糊迭代函数系统是由Picard迭代序列的初始项对某些元素轨道闭合的作用完全决定的。

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"A characterization of fuzzy fractals generated by an orbital fuzzy iterated function system"

"Orbital fuzzy iterated function systems are obtained as a combination of the concepts of iterated fuzzy set system and orbital iterated function system. It turns out that, for such a system, the corresponding fuzzy operator is weakly Picard, its fixed points being called fuzzy fractals. In this paper we present a structure result concerning fuzzy fractals associated to an orbital fuzzy iterated function system by proving that such an object is perfectly determined by the action of the initial term of the Picard iteration sequence on the closure of the orbits of certain elements."

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来源期刊

Carpathian Journal of Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： Carpathian Journal of Mathematics publishes high quality original research papers and survey articles in all areas of pure and applied mathematics. It will also occasionally publish, as special issues, proceedings of international conferences, generally (co)-organized by the Department of Mathematics and Computer Science, North University Center at Baia Mare. There is no fee for the published papers but the journal offers an Open Access Option to interested contributors.