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294· 智能系统学报 第4卷 统仿真学报,2006,18(8))2061-2066. [13]]YING H,DING Y S,L S K,et al.Comparison of neces- DING Haishan,MAO Jiangin.Development of approximation sary conditions for typical Takagi-Sugeno and Mamdani theory of fuzy systems[J].Joural of System Simulation, fuzy systems as universal approximators[J].IEEE Trans 2006,18(8))2061-2066. on Man,System and Cybernetics,1999,29(5))508-514. [3]WANG L X.Fuzy systems are universal approximators [14]DING Y S,YING H,SHAO S H.Necessary conditions on [C]//Proc of IEEE International Conference on Fuzy Sys- minimal system configuration for general MISO Mamdani tems.San Diego,USA,1992:1163-1170. fuzy systems as universal approximators[].IEEE Trans CASTRO JL.Fuzzy logic controllers are universal approxi- on Systems,Man and Cybenetics,2000,30(6):857-864. mators[J].IEE Trans on Systems,Man and Cybernetics, [15]WANG F.SHANG HL.WANG LX.et al.How to deter- 1995,25(4):629635 mine the minimum number of fuzzy rules to achieve given 5]NGUGEN H T,KREIONOVICH V,SIRISAENGTAKSIN accuracy::a computational geometric approach to SISO case 0.Fuzy control as universal control tool[J].Fuzzy Sets ].Fuzzy Sets and Systems,2005,150::199-209. and Systems,1997,80(1)):71-86. [16]ZENG X J,SINGH M G.Approximation accuracy analysis 6.SUDKAMP T,KNAPP A,KNAPP J.Rule base reduction: of fuzzy systems as function approximators[J].IEEE Trans some comments on the use of orthogonal transforms[J]. on Fuzy Systems,1996,4(1)):44-63. IEEE Trans on Systems Man and Cyberetics,2001,31 作者简介: (③):199-206. 孙富春,男,1964年生,教授,博士 ]MANLEY C P,RAZAZ M.An effient approach for reduc- 生导师,主要研究方向为模糊神经系 tion of membership functions and rules in fuzy systems 统、变结构控制、网络控制系统和机器 [C]//EEE International Conference on Fuzzy Systems. 人.2000年获得全国优秀博士论文奖, London,UK,2007::15 2003年获韩国第十八届Choon-Gang 8]YING H.Sufficient conditions on general fuzzy systems as 国际学术奖一等奖第一名.发表学术 function approximations[J]Automatica,1994,30(3))521- 论文120余篇,其中在国际重要刊物发表论文50余篇. 525. 9]'YING H.Sufficient conditions on uniform approximation of multivariate functions by general Takagi-Sugeno fuzzy sys- 杨晋,男,1983年生,硕士研究 tems with linear rule consequent[J].IEEE Trans on Sys- 生,主要研究方向为模糊系统逼近、行 tem,Man and Cybernetics,1998,28:515-520. 人视频检测和跟踪 [10]ZENG K,ZHANG N Y,XU W L.A comparative study on sufficient conditions for Takagi-Sugeno fuzzy systems as u- niversal approximators[J].IEEE Trans on Fuzzy Systems, 2000,8(6):773-780. [11]SUN F C,ZHAO N.Universal approximation for Takagi- 刘华平,男,1976年生,副教授,主 Sugeno fuzzy systems using dynamically constructive meth- 要研究方向为智能控制与机器人、行人 od-SISO cases[C]//IEEE 22nd International Symposium 视频跟踪与检测、智能交通等 on Intelligent Control.Singapore,2007::150-155 [12]YING H,CHEN G R.Necessary conditions for some typi al fuzy systems as universal approximators[J]].Automat- ica,1997,33(7)):1333-1338.,294· 作者简介: [7] MANLEY C P,RAZAZ M.An effient approach for reduc￾tion of membership functions and rules in fuzy systems [C] //IEEE International Conference on Fuzzy Systems. London,UK,2007: 1-5. [10] ZENG K,ZHANG N Y,XU W L.A comparative study on sufficient conditions for Takagi-Sugeno fuzzy systems as u￾niversal approximators[J].IEEE Trans on Fuzzy Systems, 2000,8(6) :773-780. [6] SUDKAMP T,KNAPP A,KNAPP J. Rule base reduction: some comments on the use of orthogonal transforms[J]. IEEE Trans on Systems Man and Cyberetics,2001,31 (3) :199-206. [14] DING Y S,YING H, SHAO S H. Necessary conditions on minimal system configuration for general MISO Mamdani fuzy systems as universal approximators[J] . IEEE Trans on Systems,Man and Cybenetics,2000,30(6) :857-864. DING Haishan,MAO Jianqin. Development of approximation theory of fuzy systems[J] .Joural of System Simulation, 2006,18(8) :2061-2066. [16] ZENG X J,SINGH M G.Approximation accuracy analysis of fuzzy systems as function approximators[J]. IEEE Trans on Fuzy Systems,1996,4(1) :44-63. 8 ] YING H. Sufficient conditions on general fuzzy systems as function approximations[J] .Automatica,1994,30(3) :521- 525. [12] YING H,CHEN G R. Necessary conditions for some typi al fuzy systems as universal approximators[J] . Automat￾ica,1997,33(7) :1333-1338. 杨 晋,男,1983年生,硕士研究 生,主要研究方向为模糊系统逼近、行 人视频检测和跟踪. 孙富春,男,1964年生,教授,博士 生导师,主要研究方向为模糊神经系 统、变结构控制、网络控制系统和机器 人.2000年获得全国优秀博士论文奖, [11] 2003年获韩国第十八届 Choon-Gang 国际学术奖一等奖第一名.发表学术 SUN F C,ZHAO N. Universal approximation for Takagi￾Sugeno fuzzy systems using dynamically constructive meth￾od-SISO cases[ C]//IEEE 22nd International Symposium on Intelligent Control. Singapore,2007: 150-155. 刘华平,男,1976年生,副教授,主 要研究方向为智能控制与机器人、行人 视频跟踪与检测、智能交通等. [3] WANG L X. Fuzy systems are universal approximators [C]//Proc of IEEE International Conference on Fuzy Sys￾tems. San Diego,USA,1992: 1163-1170. 智 能 系 统 学 报 第4卷 统仿真学报,2006,18(8) :2061-2066. [9] YING H. Sufficient conditions on uniform approximation of multivariate functions by general Takagi-Sugeno fuzzy sys￾tems with linear rule consequent[J].IEEE Trans on Sys￾tem,Man and Cybernetics,1998,28: 515-520. [4] CASTRO J L. Fuzzy logic controllers are universal approxi￾mators[J].IEE Trans on Systems,Man and Cybernetics, 1995,25(4) :629-635. 5] NGUGEN H T,KREIONOVICH V,SIRISAENGTAKSIN 0.Fuzy control as universal control tool[J]. Fuzzy Sets and Systems,1997,80(1) :71-86. [13] YING H,DING Y S,L S K,et al. Comparison of neces￾sary conditions for typical Takagi-Sugeno and Mamdani fuzy systems as universal approximators[J].IEEE Trans on Man,System and Cybernetics,1999,29(5) :508-514. [15] WANG F,SHANG H L,WANG LX,et al. How to deter￾mine the minimum number of fuzzy rules to achieve given accuracy: a computational geometric approach to SISO case [J].Fuzzy Sets and Systems,2005,150: 199-209. 论文120余篇,其中在国际重要刊物发表论文50余篇
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