由三I或CRI方法构造的模糊系统及其响应函数

文章介绍在采用单点模糊器和重心法解模糊器的情况下,分别基于三I方法和CRI方法,研究了由11个蕴涵算子构成的模糊系统及其响应函数。在基于三I方法的11个系统中,9个输出近似为阶跃函数,1个输出近似为拟合函数,1个具有函数逼近的泛性,从而后2个系统可用;基于CRI方法的11个系统中,7个输出近似为阶跃函数,2个输出近似为拟合函数,2个具有函数逼近的泛性,从而后4个系统可用。可见,从模糊系统的角度,三I方法效果不理想,而CRI方法基本可以接受,且相对较优。

Fuzzy systems constructed by triple I method or CRI method and their response functions

Under the conditions of adapting singleton fuzzier and centroid defuzzier,the fuzzy systems based on 11 implication operators respectively constructed by the triple I method and CRI method are discussed together with analyzing their response functions.In the 11 fuzzy systems constructed by the triple I method,nine systems are approximately step response functions,while two systems respec-tively approximate one fitted function and one interpolation function,which means the latter two sys-tems are usable.In the 11 fuzzy systems by the CRI method,seven are approximately step response functions,and two systems approximate fitted functions,and the other two systems are interpolation functions,which means that the latter four systems are practicable.So,from the point of view of fuzzy system,the effect of triple I method is imperfect while CRI method is basically acceptable with better capabilities.