摘要
研究了采用三角型隶属度函数的模糊系统的插值特性 .针对常见的 Mamdani和 TSK两类模糊系统 ,研究了模糊系统与分段插值函数在函数逼近上的等价性 .在此基础上 ,分别给出了两类模糊系统在插值方面的逼近误差估计 .
The interpolation mechanism of SISO fuzzy systems that use triangle MFs is discussed. Firstly, two types of fuzzy systems are studied; one with single value output and the other with polynomial output. The equivalence between the fuzzy systems and the piecewise interpolation functions is demonstrated then. And the estimation of the approximation error is given. In the end, the results in this paper are validated through some simulation examples.
出处
《自动化学报》
EI
CSCD
北大核心
2001年第6期784-790,共7页
Acta Automatica Sinica
关键词
模糊系统
分段插值
函数逼近
三角型隶属度函数
Approximation theory
Computer simulation
Estimation
Interpolation
Membership functions
