基于Vague集的插值模糊推理

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Vague集的隶属函数为离散情况下的插值模糊推理方法.

An Interpolation Fuzzy Reasoning Approach Based on Vague Sets

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.