| 一个新的基于Vague集的近似推理方法 |
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| 引用本文： | 李凡,徐章艳,姜华庆. 一个新的基于Vague集的近似推理方法[J]. 华中科技大学学报(自然科学版), 2000, 28(9): 16-17 |
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| 作者姓名： | 李凡 徐章艳 姜华庆 |
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| 作者单位： | 华中理工大学计算机科学与技术学院汉;广西师范大学数学与计算机系;华中理工大学计算机科学与技术学院 |
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| 基金项目： | 国家高性能计算基金资助(99313);华中科技大学科学研究基金资助(M99015). |
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| 摘 要： | 对于模糊概念(用Vague集表示)的隶属函数为连续的情况,将规则前件中模糊概念的论域与后件中模糊概念的论域作一一映射,给出基于Vague集的隶属函数为连续情况下的近似推理方法;对于Vague集的隶属函数为离散的情况,在作上述相同的映射后,再将规则前件中的Vague集和事实中的Vague集的真/假隶属函数分别进行线性插值,使它们都成为连续函数,然后给出基于Vague集的隶属函数为离散情况下的近似推理方法.
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| 关 键 词： | Vague集 Fuzzy集 映射 线性插值 近似推理 |
| 文章编号： | 1000-8616(2000)09-0016-02 |
| 修稿时间： | 1999-12-21 |
A New Approximate Reasoning Approach Based on Vague Sets |
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| Abstract: | When the membership functions (represented with Vague sets ) of fuzzyterms are continuous functions, one to one mapping between the universe of discourse of fuzzy terms in antecedent of rule and that in consequent of rule is given. The method of approximate reasoning based on vague sets is presented in this case. When the membership functions of Vague sets are discrete functions, after the above one to one mapping mentioned is given, a method of linear interpolation about true/false membership functions of Vague sets for antecedent of rule and fact. is put forward, making them become continuous functions. And a method of approximate reasoning based on vague sets in this case is provided. |
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| Keywords: | vague set fuzzy set mapping linear interpolation approximate reasoning |
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