期刊文献+

Fuzzy inference systems with no any rule base and linearly parameter growth 被引量:2

Fuzzy inference systems with no any rule base and linearly parameter growth
下载PDF
导出
摘要 A class of new fuzzy inference systems New-FISs is presented.Compared with the standard fuzzy system, New-FIS is still a universal approximator and has no fuzzy rule base and linearly parameter growth. Thus, it effectively overcomes the second "curse of dimensionality":there is an exponential growth in the number of parameters of a fuzzy system as the number of input variables,resulting in surprisingly reduced computational complexity and being especially suitable for applications,where the complexity is of the first importance with respect to the approximation accuracy. A class of new fuzzy inference systems New-FISs is presented.Compared with the standard fuzzy system, New-FIS is still a universal approximator and has no fuzzy rule base and linearly parameter growth. Thus, it effectively overcomes the second "curse of dimensionality":there is an exponential growth in the number of parameters of a fuzzy system as the number of input variables,resulting in surprisingly reduced computational complexity and being especially suitable for applications,where the complexity is of the first importance with respect to the approximation accuracy.
出处 《控制理论与应用(英文版)》 EI 2004年第2期185-192,共8页
基金 This work was supported by the RGC Competitive Earmarked Research Grant (No. PolyU 5065/98E) Natural Science Foundation of China (No. 60225015) Natural Science Foundation of Jiangsu Province (No. BK2003017) National Key Labruary of Novel Software Tech
关键词 Fuzzy inference Fuzzy systems Universal approximation Computational complexity Linearly parameter growth Fuzzy inference Fuzzy systems Universal approximation Computational complexity Linearly parameter growth
  • 相关文献

参考文献10

  • 1Ying H,Chen G R.Necessary conditions for some typi cal fuzzy systems as universal approximators[].Automatica.1997 被引量:1
  • 2MAO Zhi -hong,LI Yian-dang.Approximation capability of systems using translations and dilations of one fixed function as member functions[].IEEE Transactions on Fuzzy Systems.1997 被引量:1
  • 3Hisdal,E.Interpretative veras prescriptive fuzzy set theory[].IEEE Transactions on Fuzzy Systems.1994 被引量:1
  • 4RAJU G V S,KISNER R A.Hierarchical fuzzy systems[].International Journal of Control.1991 被引量:1
  • 5Chung,F.L.,Duan,J. C.On multistage fuzzy neural network modeling[].IEEE Transactions on Fuzzy Systems.2000 被引量:1
  • 6S.Wang.Neural-Fuzzy Systems and their Applications[]..1998 被引量:1
  • 7Hathaway,R.,Bezdek,J.Switching regression model and fuzzy clustering[].IEEE Transactions on Fuzzy Systems.1995 被引量:1
  • 8Bezdek,J. C. Pattern Recognition with Fuzzy Objective Functions Algorithms . 1981 被引量:1
  • 9Wang,L. X. Adaptive Fuzzy Systems and Control:Design and Stability Analysis . 1994 被引量:1
  • 10P.J. Pacini,B.Kosko.Adaptive fuzzy systems for target tracking[].IEE Intelligent System Engineering.1992 被引量:1

同被引文献17

  • 1王银河,李志远.一类基于模糊逻辑系统的非线性系统自适应跟踪控制[J].控制与决策,2004,19(10):1121-1124. 被引量:7
  • 2Wang L X, Mendel J M. Fuzzy basis functions, universal approximation and least squares learning[J].IEEE Trans on Neural Networks, 1992,3 (5) : 807-814. 被引量:1
  • 3Ying H. General SISO Takagi-Sugeno fuzzy systems with linear rule consequent are universal approximators[J]. Fuzzy Systems, IEEE Transactions on. , 2002,6 (4) : 582- 587. 被引量:1
  • 4Buckley J J. Sugeno type controllers are universal controllers[J]. Fuzzy Sets and Systems,1993,53(3):293- 303. 被引量:1
  • 5Castro J L. Fuzzy logic controllers are universal approximators [J]. IEEE Trans on Systems,Man,and Cybernetics, Part B,1995,25(4):629-635. 被引量:1
  • 6Pacini P J, Kosko B. Adaptive fuzzy systems for target tracking[J]. IEEE Intelligent System Engineering, 1992,9 (1) : 3-21. 被引量:1
  • 7Chen B, Liu X P, Tong S C. Adaptive fuzzy output tracking control of MIMO nonlinear uncertain systems [J]. IEEE Transactions on Fuzzy Systems, 2007,15 (2) : 287- 300. 被引量:1
  • 8Liu Y J, et al. Robust adaptive tracking control for nonlinear systems based on bounds of fuzzy approximation parameters [J]. IEEE Transactions on Systems, Man, and Cybernetics, Part A : Systems and Humans, 2010,40 (1) 170-184. 被引量:1
  • 9Novakovic B M. Fuzzy logic control synthesis without any rule base [J]. IEEE Trans. on Systems, Man and Cybernetics Part B, 1999,29 (3) : 459 - 466. 被引量:1
  • 10Castro J L,Delgado M. Fuzzy systems with defuzzification are universal approximators[J]. IEEE Trans. Syst. , Man, and Cybernetics, Part B : Cybernetics, 1996,26 (1) : 149 - 153. 被引量:1

引证文献2

二级引证文献10

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部