Least Wilcoxon learning method based fuzzy tree model
-
摘要: 模糊树方法采用最小二乘法学习模糊规则的后件参数,对例外点敏感.为此采用对例外点不敏感的最小Wilcoxon学习方法代替最小二乘法,提出一种基于最小Wilcoxon学习方法的模糊树建模方法,该方法既改善了模糊树方法对例外点敏感的缺点,又继承了模糊树方法的优点.通过对混沌时间序列预测研究,仿真结果表明:所提方法可以对Mackey-Glass混沌时间序列进行准确预测,验证了该方法的有效性和对例外点的鲁棒性.
-
关键词:
- 模糊树 /
- 例外点 /
- 最小Wilcoxon学习方法 /
- 混沌时间序列 /
- 预测
Abstract: Fuzzy tree (FT) method used the least square method to learn the consequent parameters of the fuzzy rules, so it was sensitive to the outliers. The least Wilcoxon learning method was used to replace the least square method and a robust modeling method against (or insensitive to) outliers was proposed based on the least Wilcoxon learning method, called least Wilcoxon-fuzzy tree (LW-FT). The proposed method is not only insensitive to the outliers, but also has the advantages of the FT. Finally, the simulations on Mackey-Glass chaotic time series prediction were performed. The results show that the chaotic time series are accurately predicted, which demonstrates the effectiveness and the robustness to the outliers of this method.-
Key words:
- fuzzy tree /
- outliers /
- least Wilcoxon /
- chaotic time series /
- prediction
-
[1] 张其光,王执铨.基于遗传算法的模糊神经网络控制器设计及其稳定性分析[J].控制理论与应用,1999,16(5):767-769 Zhang Qiguang,Wang Zhiquan.Design of a kind of fuzzy neural network controllers based on genetic algorithm and analysis of its stability [J].Control Theory and Applications,1999,16(5):767-769 (in Chinese) [2] Wang Yin,Rong Gang.A self-organizing neural-network-based fuzzy system[J].Control Theory and Applications,1999,16(3):455-457 [3] 李波,张世英.基于神经模糊方法的复杂系统建模[J].信息与控制,2001,30(3):231-233 Li Bo,Zhang Shiying.Complex systems modeling via neuro fuzzy method[J].Information and Control,2001,30(3):231-233(in Chinese) [4] 王宏伟,杨振强,王子才.基于加速进化规划方法的复杂系统模糊建模[J].电子学报,1999,27(8):140-141 Wang Hongwei,Yang Zhenqiang,Wang Zicai.The fuzzy modeling of complex systems via accelerated evolutionary programming[J].Acta Electronica Sinica,1999,27(8):140-141 (in Chinese) [5] Carpenter G A,Grossberg S,Rosen D B.Fuzzy ART:fast stable learning and categorization of analog pattern by an adaptive resonance system[J].Neural Network,1991,4(9):759-771 [6] Jang J S R.ANFIS:Adaptive-network-based fuzzy inference systems[J].IEEE Transactions on Systems,Man and Cybernetics,1993,23(3):665-685 [7] Chiu S.Fuzzy model identification based on cluster estimation[J].Journal of Intelligent and Fuzzy Systems,1994,2(3):267-278 [8] The Math Works Inc.Fuzzy logic toolbox for use with matlab user’s guide,Version 2 [M].USA:The Math Works Inc,2000 [9] 毛剑琴,姚健,丁海山.基于模糊树模型的混沌时间序列预测[J].物理学报,2009,58(4):2220-2231 Mao Jianqin,Yao Jian,Ding Haishan.Chaotic time series prediction based on fuzzy tree[J].Acta Physica Sinica,2009,58(4):2220-2231 (in Chinese) [10] Mao Jianqin,Zhang Jiangang,Yue Yufang,et al.Adaptive tree-structured-based fuzzy Inference systems[J].IEEE Transactions on Fuzzy Systems,2005,13(1):1-12 [11] Mao Jianqin,Ding Haishan.Intelligent modeling and control for nonlinear systems with rate-dependent hysteresis[J].Science in China Series F:Information Sciences,2009,52(4):656-673 [12] Chuang C C,Su S F,Chen S S.Robust TSK fuzzy modeling for function approximation with outliers[J].IEEE Transactions on Fuzzy Systems,2001,9(6):810-821 [13] Jacek M L.TSK-fuzzy modeling based onε-insensitive learning[J].IEEE Transactions on Fuzzy Systems,2005,13(2):181-193 [14] Hogg R V,McKean J W,Craig A T.Introduction to mathematical statistics[M].6th ed.Englewood Cliffs,NJ:Prentice-Hall,2005 [15] Hsieh J G,Lin Y L,Jeng J H.Preliminary study on Wilcoxon learning machines[J].IEEE Transactions on Neural Network,2008,19(2):201-211 [16] Sun T Y,Tsai S J,Tsai C H,et al.Nonlinear function approximation based on least Wilcoxon takagi-sugeno fuzzy model //The Eighth International Conference on Intelligent Systems Design and Applications.Taiwan:IEEE Computer Society,2008:312-317 [17] Majhi B,Panda G.Robust identification of nonlinear complex systems using low complexity ANN and particle swarm optimization technique[J].Expert Systems with Applications,2010,38(1):321-333 [18] Majhi B,Panda G,Mulgrew B.Robust identification and prediction using wilcoxon norm and particle swarm optimization //The 17th European Signal Processing Conference (EUSIPCO 2009).Scotland:European Association for Signal Processing,2009:1695-1699 [19] Hardy G H,Littlewood J E,Polya G.Inequalities[M].2nd ed.Cambridge:Cambridge University Press,1952
点击查看大图
计量
- 文章访问数: 1249
- HTML全文浏览量: 16
- PDF下载量: 325
- 被引次数: 0