基于正则蕴涵算子的三I算法的性质

The properties of Triple I method based on the regular implication operator

基于正则蕴涵算子分析了三I算法的连续性与逼近性问题,指出在模糊连续输入的条件下,RL、RG、RΠ型三I算法均具有连续性与逼近性,并指出了R0型三I算法具有连续性与逼近性的条件是x∈X,A*(x)∧A(x)>1/2成立.

Based on the regular implication operator, the continuity and approximation property of triple I method have been analyzed. It is pointed out that under the condition of fuzzy continuous input, RL, RG, R Ⅱ triple Ⅰmethods have continuity and approximation property. It is also pointed out that a sufficient condition for R0 Triple I method to have continuity and approximation property is that 1 for allx x ∈X, A^＊（x）∧ A（x） 〉1/2-holds.