| 引用本文: | 张宇卓,李洪兴.广义递阶Mamdani模糊系统及其泛逼近性[J].控制理论与应用,2006,23(3):449~454.[点击复制] |
| ZHANG Yu-zhuo,LI Hong-xing.Generalized hierarchical Mamdani fuzzy systems and their universal approximation[J].Control Theory and Technology,2006,23(3):449~454.[点击复制] |
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| 广义递阶Mamdani模糊系统及其泛逼近性 |
| Generalized hierarchical Mamdani fuzzy systems and their universal approximation |
| 摘要点击 2344 全文点击 957 投稿时间：2005-01-14 修订日期：2005-07-25 |
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| DOI编号 10.7641/j.issn.1000-8152.2006.3.023 |
| 2006,23(3):449-454 |
| 中文关键词 广义递阶Mamdani模糊系统 方形分片线性函数 泛逼近性 |
| 英文关键词 generalized hierarchical Mamdani fuzzy systems square piecewise linear function universal approximation |
| 基金项目 国家自然科学基金资助项目(60474023,60274016); 教育部科学技术重点资助项目(03184); 973国家重大基础研究计划基金资助项目(2002CB312200) |
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| 中文摘要 |
| 从解决模糊系统的“规则爆炸”问题出发,本文首先给出广义递阶Mamdani模糊系统的定义,然后证明其与具有中间变量的广义Mamdani模糊系统等价,并借助方形分片线性函数构造性的证明了在最大模和积分模意义下该系统是泛逼近器.最后仿真实例证实了该系统的有效性. |
| 英文摘要 |
| The definition of generalized hierarchical Mamdani fuzzy systems is firstly introduced for solving "rules exploring" problem of fuzzy systems.The generalized hierarchical Mamdani fuzzy systems are then proved to be equivalent to the generalized fuzzy systems with some intermediate input variables.Furthermore,by using square piecewise linear functions,these fuzzy systems are proved to be universal approximators in the meaning of maximum modulus and integration modulus.Finally,a simulation is given to prove their feasibility. |