| 层次模糊系统的全局逼近性质及其与多子波神经网络关系研究 |
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| 引用本文： | 朱晓铭, 王士同. 层次模糊系统的全局逼近性质及其与多子波神经网络关系研究[J]. 电子与信息学报, 2002, 24(7): 921-928. |
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| 作者姓名： | 朱晓铭 王士同 |
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| 作者单位： | 华东船舶工业学院计算机系,镇江,212003 |
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| 基金项目： | 国家自然科学基金 69843002 |
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| 摘 要： | 该文首先讨论了B样条基函数的特性,在此基础上证明了基于B样条隶属函数的层次模糊系统(HBFS)是全局逼近器这一重要结论。与此同时,根据基于B样条隶属函数的层次模糊系统与多子波神经网络在逼近问题上的等价性,我们对于多子波神经网络是否为全局逼近器这一问题给出了一种全新的证明方法,以上工作为HBFS的实际应用提供了坚实的的理论基础。
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| 关 键 词： | B样条 层次模糊系统 全局逼近性质 多子波神经网络 |
| 收稿时间： | 2000-11-24 |
| 修稿时间： | 2000-11-24 |
Universal approximation of hierarchical fuzzy systems and their relationship with multiwavelet neural networks |
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| Zhu Xiaoming, Wang Shitong. Universal approximation of hierarchical fuzzy systems and their relationship with multiwavelet neural networks[J]. Journal of Electronics & Information Technology, 2002, 24(7): 921-928. |
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| Authors: | Zhu Xiaoming Wang Shitong |
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| Affiliation: | Dept. of Computer East China Shipbuilding Institute Zhenjiang 212003 China |
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| Abstract: | In this paper, the characteristics of B-spline basis functions are first introduced, and the universal approximation properties of hierarchical fuzzy systems based on B-spline basis functions are verified, and then, another new proof on approximation property of multiwavelet neural network is given using the equivalence relation between B-spline-basis-function-based fuzzy system(HBFS) and wavelet neural network. All of these provide solid theoretical foundation for HBFS's application. |
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| Keywords: | B-spline Hierarchical fuzzy system Universal approximation properties Multiwavelet neural network |
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