The structure of fuzzy fractals generated by an orbital fuzzy iterated function system

被引：0

作者：

Savu, Irina ^{[1
]}

Miculescu, Radu ^{[2
]}

Mihail, Alexandru ^{[3
]}

机构：

[1] Univ Politehn Bucuresti, Fac Appl Sci, Splaiul Independentei 313, Bucharest, Romania

[2] Transilvania Univ Brasov, Fac Math & Comp Sci, Iuliu Maniu St, nr 50, Brasov 500091, Romania

[3] Bucharest Univ, Fac Math & Comp Sci, Str Acad 14, Bucharest 010014, Romania

来源：

DEMONSTRATIO MATHEMATICA | 2023年 / 56卷 / 01期

关键词：

orbital fuzzy iterated function system; fuzzy Hutchinson-Barnsley operator; fuzzy fractal; canonical projection; ATTRACTORS;

D O I：

10.1515/dema-2022-0217

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we present a structure result concerning fuzzy fractals generated by an orbital fuzzy iterated function system ((X, d), (f(i) )(i?I),(?(i))(i?I)). Our result involves the following two main ingredients: (a) the fuzzy fractal associated with the canonical iterated fuzzy function system ((I , d(?)), (t( i) )(i? I) , ( ? (i))(i?)I), where " d(?)is Baire's metric on the code space I-N and t(i):I" ? I" is given by t(i)((?(1), ?(2), ...)) ? (i, ?(1),?(2),...) for every (?(1), ?(2),...) ? I-N and every i ? I; (b) the canonical projections of certain iterated function systems I " associated with the fuzzy fractal under consideration.

引用

页数：11

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