摘要
模糊系统通用逼近理论是模糊理论研究的一个重要方向.目前,对模糊系统通用逼近性的研究已经取得了很大的进展.对模糊系统的通用逼近性、模糊系统作为通用逼近器的充分条件和必要条件以及模糊系统的逼近精度等方面的研究进行了较为详尽的综述,分析了各种分析方法的主要成果及其特点(包括优点和局限性),并指出了今后模糊系统通用逼近理论研究中有待解决的许多问题.
The universal approximation of fuzzy systems is an important direction of fuzzy theory. At present, a lot of progress has been made in the research for the universal approximation of fuzzy systems. In this paper, a survey of the universal approximation of fuzzy systems, the sufficient and necessary condition for fuzzy systems as universal approximators, and approximation accuracy of fuzzy systems etc is made in details. The achievement and properties (including advantages and disadvantages) of each method are also analyzed, and then the problems of the universal approximation of fuzzy systems in future researches are pointed out further.
出处
《智能系统学报》
2007年第1期25-34,共10页
CAAI Transactions on Intelligent Systems
基金
燕山大学博士基金资助项目(B111).
关键词
模糊系统的通用逼近性
充分条件
必要条件
逼近精度
universal approximation of fuzzy systems
sufficient conditions
necessary conditions
approximation accuracy