基于Vague集的插值模糊推理  

An Interpolation Fuzzy Reasoning Approach Based on Vague Sets

作　　者：李凡[1] 徐章艳[2] 卢安[1] 

机构地区：[1]华中科技大学计算机学院,湖北武汉430074 [2]广西师范大学数学与计算机学院,广西桂林541004

出　　处：《应用科学学报》2001年第2期161-164,共4页Journal of Applied Sciences

基　　金：国家高性能计算基金资助项目 (0 0 3 0 3 );华中科技大学科学研究基金资助项目 (M990 15 )

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 ,然后给出基于 Vague集的隶属函数为连续情况下的插值模糊推理方法 ;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When the membership functions (represented by vague sets) of fuzzy terms are continuous functions, we give a one to one mapping between the universe of discourse of fuzzy terms in the antecedent of the rule and that in the consequent of the rule. In this way, we are able to find a method of interpolation fuzzy reasoning based on vague sets. When the membership functions of vague sets are discrete functions, after giving one to one mapping between the universe of discourse of fuzzy terms in the antecedent of the rule and that in the consequent of the rule, we carry out linear interpolation in the true/false membership functions of vague sets in the antecedent of the rule and fact, to turn them in to continuous functions. we are thus able to develop a method of interpolation fuzzy reasoning based on vague sets.

关 键 词：VAGUE集 映射 线性插值 模糊推理 隶属函数 模糊概念 隶属度 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]