摘要
首先分别介绍了泛函网络概念和Fuzzy插值概念及性质;将泛函网络结构特性和Fuzzy插值映射有机地结合起来,提出了一类新型Fuzzy泛函网络模型,给出其Fuzzy泛函网络构造方法;采用构造性方法从理论上证明了Fuzzy泛函网络能够以任意精度逼近任意定义在有界闭集上的连续函数。这从理论上为Fuzzy泛函网络的使用提供了依据,具有明显的实际应用价值。
The concept of functional network and characteristics of fuzzy interpolation are first introduced,a new functional network modeling, combining constructive characteristics of functional network and fuzzy interpolation mechanism, is proposed, based on which fuzzy functional network is proved to approximate any continuous function defined on closed set to a precision accuracy. This theory result provides us a very useful guideline when we design and application fuzzy functional network, and therefore has very important theoretical and practical significance.
出处
《计算机科学》
CSCD
北大核心
2007年第7期5-9,共5页
Computer Science
基金
国家自然科学基金资助项目(60461001)
广西自然科学基金资助项目(0542048)
广西民族大学重大研究资助项目
关键词
泛函网络
Fuzzy插值
正规基元组
Fuzzy泛函网络
构造理论
Functional network, Fuzzy interpolation, Regular base-element, Fuzzy functional network, Constructive theory
