| 采用三角型隶属度函数的模糊系统的插值特性 |
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| 引用本文： | 张恩勤,施颂椒,翁正新.采用三角型隶属度函数的模糊系统的插值特性[J].自动化学报,2001,27(6):784-790. |
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| 作者姓名： | 张恩勤 施颂椒 翁正新 |
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| 作者单位： | 1.上海交通大学自动化系,上海 |
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| 摘 要： | 研究了采用三角型隶属度函数的模糊系统的插值特性.针对常见的Mamdani和TSK
两类模糊系统,研究了模糊系统与分段插值函数在函数逼近上的等价性.在此基础上,分别给出
了两类模糊系统在插值方面的逼近误差估计.这一结果为模糊系统的结构分析提供了新的研究
方法和理论依据.
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| 关 键 词： | 模糊系统 隶属度函数 分段插值 函数逼近 |
| 收稿时间： | 1999-6-15 |
| 修稿时间： | 1999年6月15日 |
Fuzzy Systems Using Triangle MFs as Interpolation Functions |
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| ZHANG En-Qin,SHI Song-Jiao,WENG Zheng-Xin.Fuzzy Systems Using Triangle MFs as Interpolation Functions[J].Acta Automatica Sinica,2001,27(6):784-790. |
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| Authors: | ZHANG En-Qin SHI Song-Jiao WENG Zheng-Xin |
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| Affiliation: | 1.Department of Automation,Shanghai Jiaotong University,Shanghai |
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| Abstract: | The interpolation mechanism of SISO fuzzy systems that use triangle MFs is discussed in this paper. Firstly, two types of fuzzy systems are studied: one with single value output and the other with polynomial output. The equivalence between the fuzzy systems and the piecewise interpolation functions is demonstrated then. And the estimation of the approximation error is given. In the end, the results in this paper are validated through some simulation examples. |
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| Keywords: | Fuzzy systems membership functions piecewise interpolation function approxiamtion |
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