摘要
论SISO和MIMO布尔型模糊系统的逼近精度,得到如下结论:对SISO布尔型模糊系统而言,其有一阶逼近精度。对基于R-implication和Reichenbach-implication I(a,b)=1-a+ab的SISO布尔型模糊系统而言,若隶属函数选为三角形的,则其有二阶逼近精度。然而通过一例子看出MIMO布尔型模糊系统,其一般没有二阶逼近精度。
Studies on the universal approximation capability of fuzzy systems have achived great progress in recent year. In this paper, it is proved that Boolean fuzzy systems are accurate approximators,speeifieally, SISO fuzzy systems based on R-irnplicaticm and Reichenbach-implication 1 （a, b） = 1-a ＋ ab with triangleshaped membership function are second-order accurate approximators. However, MIMO Boolean fuzzy systems aren＇t second-order accurate approximators.
出处
《模糊系统与数学》
CSCD
北大核心
2006年第2期66-71,共6页
Fuzzy Systems and Mathematics
关键词
模糊系统
布尔蕴涵
逼近精度
Fuzzy System
Boolean Implication
Approximation Accuracy
