| 基于三Ι算法的模糊系统及其响应性能 |
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| 引用本文： | 李洪兴,彭家寅,王加银,侯健,张宇卓.基于三Ι算法的模糊系统及其响应性能[J].系统科学与数学,2006,26(5):578-590. |
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| 作者姓名： | 李洪兴 彭家寅 王加银 侯健 张宇卓 |
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| 作者单位： | 1. 北京师范大学数学科学学院,北京,100875
2. 四川内江师范学院数学系,内江,641112 |
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| 基金项目： | 国家自然科学基金(60474023，60364001)，教育部博士点基金(20020027013)，教育部科学技术重点项目(03184)，973国家重大基础研究计划基金(2002CB312200)． |
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| 摘 要： | 给出了基于三Ⅰ算法和α-三Ⅰ算法的几种典型模糊系统的插值表达式．指出,基于三Ⅰ算法和α-三Ⅰ算法的模糊系统对于某些蕴涵算子具有函数逼近的泛性,而对于不少蕴涵算子只具有阶跃输出能力,而不具有函数逼近的泛性．此外,证明了基于三Ⅰ算法的模糊系统在一定条件下对于模糊逻辑系统中推理与聚合的次序交换无关．
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| 关 键 词： | 模糊逻辑 模糊推理 模糊控制 插值函数 泛逼近性 |
| 修稿时间： | 2003年12月20 |
Fuzzy Systems Based on Triple I Algorithm and Their Response Ability |
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| Li Hongxing,Peng Jiayin,Wang Jiayin,Hou Jian,Zhang Yuzhuo.Fuzzy Systems Based on Triple I Algorithm and Their Response Ability[J].Journal of Systems Science and Mathematical Sciences,2006,26(5):578-590. |
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| Authors: | Li Hongxing Peng Jiayin Wang Jiayin Hou Jian Zhang Yuzhuo |
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| Institution: | (1)Beijing Normal University, Beijing 100875;(2)Neijiang Normal Institute, Neijiang 641112;(3)Beijing Normal University, Beijing 100875 |
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| Abstract: | In the paper, interpolation representations of some typical fuzzy systems based on triple I and $\alpha$-triple I algorithm are shown. It is pointed out that some fuzzy systems based on triple I and $\alpha$-triple I algorithm are of interpolation property but others are only of step output property. Moreover, it is proved that, under some conditions, fuzzy systems based on triple I and $\alpha$-triple I algorithm are not related with the order interchanging between inference and aggregation. |
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| Keywords: | Fuzzy logic fuzzy inference fuzzy control interpolation mechanism |
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