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AN OPTIMAL FUZZY APPROXIMATOR 被引量：1

AN OPTIMAL FUZZY APPROXIMATOR
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摘要 In a dot productspace with the reproducing kernel (r.k.S.) ,a fuzzy system with the estimation approximation errors is proposed,which overcomes the defect thatthe existing fuzzy control system is difficult to estimate the errors of approximation for a desired function,and keeps the characteristics of fuzzy system as an inference approach.The structure of the new fuzzy approximator benefits a course got by other means In a dot productspace with the reproducing kernel (r.k.S.) ,a fuzzy system with the estimation approximation errors is proposed,which overcomes the defect thatthe existing fuzzy control system is difficult to estimate the errors of approximation for a desired function,and keeps the characteristics of fuzzy system as an inference approach.The structure of the new fuzzy approximator benefits a course got by other means
作者 YueShihong ZhangKecun
机构地区 Dept.ofMath. ScienceCollege
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2002年第2期236-240,共5页 高校应用数学学报（英文版）（B辑）
关键词 reproducing kernel bounded linear functional fuzzy control reproducing kernel,bounded linear functional,fuzzy control
分类号 O241.5 [理学—计算数学] O224 [理学—运筹学与控制论]
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参考文献7

  • 1Li Hongxing,The interpolation mechanism principles of fuzzycontrol,Science in China(Series E),1998,28(3):312-320.
  • 2Huang Chongfu,Fuzzy Engineering,Printice-Hall,German,1997.
  • 3Wang Guojun,Logic on a kind of algebras,Journal of Shaanxi Normal University(natural science edition),1997,25:1-7.
  • 4Mao Zhihong,Zhang Xuefeng,Li Yanda,A research of fuzzy system as a universalapproximation,Science in China (Series E),1997,27(4):362-367.
  • 5Wen,Sunlong,Cui Minggen,The best approximating interpolation operator on the spaceW,Mathematics Numerica Sinica,1997,5(2):177-182.
  • 6Cui Minggen,Deng Zhongxing,On the best operator of interpolation in W12,MathematicsNumerica Sinica,1986,12(2):209-215.
  • 7Aronszjn,N.,Theory of reproducing kernels,Trans.Amer.Math.Soc.,1950,68:337-404.

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Applied Mathematics(A Journal of Chinese Universities)
2002年 第2期

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