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DOI:
Journal of Software:2002.13(10):1943-1951

两类层次模糊Mass-Assignment系统是全局逼近器
王士同,J.F.Baldwin,T.P.Martin
(英国Bristol大学,先进计算研究中心,英国;江南大学,信息学院,江苏,无锡,214036)
Hierarchical Mass-Assignment Fuzzy Systems of Two Types as Universal Approximation
WANG Shi-tong,J.F. Baldwin,T.P. Martin
()
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Received:April 06, 1999    Revised:October 08, 1999
> 中文摘要: 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.
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.
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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

WANG Shi-tong,J.F. Baldwin,T.P. Martin.Hierarchical Mass-Assignment Fuzzy Systems of Two Types as Universal Approximation.Journal of Software,2002,13(10):1943-1951