两类层次模糊Mass-Assignment系统是全局逼近器(英文)

Hierarchical Mass-Assignment Fuzzy Systems of Two Types as Universal Approximation

基于mass assignment 理论,提出了两类层次模糊mass assignment系统,并运用构造性证明过程证明了其全局逼近性质.由于类型1层次模糊系统的规则数与输入变量数呈线性关系,类型2层次模糊系统按逼近精度要求引入子模糊系统,因此,此两类层次模糊mass assignment系统可被用来有效地克服模糊规则爆炸问题,即所谓的规则数与输入变量数呈指数关系问题.

Hierarchical mass-assignment fuzzy systems of two types are presented, based on mass assignment theory. It is constructively proved that hierarchical mass-assignment fuzzy systems of these two types are also universal approximators. Because of the fact that the number of rules in type 1 hierarchical mass-assignment fuzzy systems increases linearly with the number of input variables and that fuzzy systems are added up to type 2 hierarchical mass-assignment fuzzy systems in terms of different accuracy requirements. These two types of systems can be effectively used to overcome rule-explosion problem, that is, the number of rules increases exponentially with the number of input variables.