论文标题
轨道模糊迭代功能系统产生的模糊分形的表征
A characterization of the fuzzy fractals generated by an orbital fuzzy iterated function system
论文作者
论文摘要
轨道模糊迭代功能系统是作为迭代模糊集系统和轨道迭代功能系统的概念的组合获得的。事实证明，对于这样一个系统，相应的模糊操作员是弱的picard，其固定点称为模糊分形。在本文中，我们提出了一个关于与轨道模糊迭代功能系统相关的模糊分形的结构结果，证明了这种对象是由Picard迭代序列对某些元素轨道闭合的初始项的作用完美决定的。
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.
