| 布尔型模糊系统的逼近精度分析 |
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| 引用本文： | 李得超,李永明. 布尔型模糊系统的逼近精度分析[J]. 模糊系统与数学, 2006, 20(2): 66-71 |
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| 作者姓名： | 李得超 李永明 |
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| 作者单位： | 西北工业大学,自动化学院,陕西,西安,710072;陕西师范大学,计算机科学学院,陕西,西安,710062 |
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| 摘 要： | 论SISO和MIMO布尔型模糊系统的逼近精度,得到如下结论:对SISO布尔型模糊系统而言,其有一阶逼近精度。对基于R-implication和Reichenbach-implication I(a,b)=1-a ab的SISO布尔型模糊系统而言,若隶属函数选为三角形的,则其有二阶逼近精度。然而通过一例子看出MIMO布尔型模糊系统,其一般没有二阶逼近精度。
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| 关 键 词： | 模糊系统 布尔蕴涵 逼近精度 |
| 文章编号： | 1001-7402（2006）02-0066-06 |
| 收稿时间： | 2004-10-11 |
| 修稿时间： | 2004-10-11 |
Approximation Accuracy Analysis of Boolean Fuzzy Systems as Function Approximators |
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| LI De-chao,LI Yong-ming. Approximation Accuracy Analysis of Boolean Fuzzy Systems as Function Approximators[J]. Fuzzy Systems and Mathematics, 2006, 20(2): 66-71 |
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| Authors: | LI De-chao LI Yong-ming |
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| Abstract: | Studies on the universal approximation capability of fuzzy systems have achived great progress in recent year.In this paper,it is proved that Boolean fuzzy systems are accurate approximators,specifically,SISO fuzzy systems based on R-implication and Reichenbach-implication I(a,b)=1-a ab with triangle-(shaped) membership function are second-order accurate approximators.However,MIMO Boolean fuzzy(systems) aren't second-order accurate approximators. |
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| Keywords: | Fuzzy System Boolean Implication Approximation Accuracy |
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