| 摘要: |
| 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 assignm ent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. |
| 关键词: mass assignment理论 去模糊化 层次模糊系统 全局逼迫器 |
| DOI: |
| 分类号: |
| 基金项目: |
|
| Hierarchical Mass-Assignment Fuzzy Systems of Two Types as Universal Approximation |
|
WANG Shi-tong,J.F. Baldwin,T.P. Martin
|
| Abstract: |
| In this paper, hierarchical mass-assignment fuzzy systems of two types are presented, based on mass assignment theory. It is constructively provedt hat hierarchical mass-assignment fuzzy systems of these two types are also unive rsal approximators. Because of the fact that the number of rules in type 1 hiera rchical 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. |
| Key words: mass assignment theory defuzzification hierarchical fuzzy system universal approximator |