Abstract:
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, R,RG,RΠ triple I methods 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 for all x∈X, A*(x)∧A(x)>12 holds.