一种新的模糊模型的理论研究  

Theoretical analysis of a new fuzzy model

作　　者：张平安[1] 

机构地区：[1]深圳信息职业技术学院计算机应用系,广东深圳518029

出　　处：《深圳信息职业技术学院学报》2006年第4期29-31,共3页Journal of Shenzhen Institute of Information Technology

摘　　要：本文提出了一种新的用于复杂系统建模的模糊模型,并从理论上分析证明,该模型可表示任何一个紧集上的连续函数。最后通过一个复杂非线性系统的仿真,验证了本文方法的有效性。In this paper, a new fuzzy model for modeling complex systems is presented to overcome the limitation of the general Takagi-sugeno fuzzy models, and theoretical analysis shows that the proposed fuzzy model can represent any continuous function over a compact set. The distinguished feature of the fuzzy model is that the input-output representation of the fuzzy model is the same as that of wavelet transforms of using special mother wavelet function. This paper gives the theoretical prove process in detail. The feasibility of the proposed fuzzy model is proved by modeling a complex nonlinear system. It is greatly involved in the Stone-Weierstrass Theorem.

关 键 词：模糊建模 模糊模型 Stone—Weierstrass定理 理论研究 

分 类 号：TP273.4[自动化与计算机技术—检测技术与自动化装置]