引用本文:王士同,J.F. Baldwin,T.P. Martin.两类层次模糊Mass-Assignment系统是全局逼近器.软件学报,2002,13(10):1943-1951
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两类层次模糊Mass-Assignment系统是全局逼近器
王士同1,2, J.F. Baldwin1, T.P. Martin1
1.英国Bristol大学,先进计算研究中心,英国;2.江南大学,信息学院,江苏,无锡,214036
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
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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

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