广义Takagi-Sugeno模糊系统与其分层系统的等价性(英文)  

EQUIVALENCE OF GENERALIZED TAKAGI-SUGENO FUZZY SYSTEM AND ITS HIERARCHICAL SYSTEMS

作　　者：刘普寅[1] 李洪兴[1] 

机构地区：[1]北京师范大学数学系,北京100875

出　　处：《北京师范大学学报（自然科学版）》2000年第5期612-618,共7页Journal of Beijing Normal University(Natural Science)

基　　金：ProjectSupportedbyNSFC (6 99740 0 6 )

摘　　要：引入广义分层Tagaki Sugeno模糊系统 ,“规则爆炸”或“维数灾难”问题可由该系统得到解决 .通过引入中间变量 ,证明了分层模糊系统的I O关系可以表示为带有中间变量的广义TS模糊系统 ;反之 ,一个分层系统也可表示模糊系统的I O关系 .Generalized hierarchical Tagaki Sugeno (TS) fuzzy systems are introduced, by which the “rule explosion” or “curse of dimensionality” problem may be solved. It is shown that the input output(I O) relations of the hierarchical fuzzy system may be representated as those of a generalized TS fuzzy system with some intermediate input variables.Conversely a hierarchical system can also realize the I O relation determined by a fuzzy system.

关 键 词：分层模糊系统 TS推理 广义TS模糊系统 

分 类 号：O159[理学—数学]