基于B样条基函数的定精度模糊推理方法

Fixed precision fuzzy reasoning method based on B-spline basis function

模糊推理过程采用了分层知识表示方式,体现了专家分析和解决问题的思想。隶属函数决定着模糊集的全部特征,其形式也是多样的,只针对特定隶属函数的推理方法,在构造系统应用时具有局限性。本文利用B样条基函数的性质,对隶属函数进行逼近,在设计中只需实现对基函数的运算和设计,使系统有较好的可扩展性和实用性。实验验证通过结合隶属函数的曲率等信息选取调整特征点,可以实现逼近误差的控制,从而使整个推理方法的精度也达到可控。

The reasoning process uses layered structure embodies the thinking of the experts to analyze and solve the problems.Membership function decides all the features of fuzzy set, its form is various.The application of the reasoning methods that only concern the specific membership functions has limitations.This paper approximates the membership functions based on the properties of Bspline function.The system using this method only has to solve the operation and design of the basis function.It also has good expansibility and practicability. Experiments verify that the approximation error can be controlled by adjusting feature points using the curvature of the membership function. So, the precision of the whole reasoning method can also be controlled.