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一个新的基于Vague集的近似推理方法
A New Approximate Reasoning Approach Based on Vague Sets
【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
【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.
【Key words】 vague set; fuzzy set; mapping; linear interpolation; approximate reasoning;
- 【文献出处】 华中理工大学学报 ,JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY , 编辑部邮箱 ,2000年09期
- 【分类号】O141
- 【被引频次】15
- 【下载频次】117