Universal Triple I Method for Fuzzy Reasoning and Fuzzy Controller

As a generalization of the triple I method, the universal triple Imethod is investigated from the viewpoints of both fuzzy reasoningand fuzzy controller. The universal triple I principle is putforward, which improves the previous triple I principle. Then,unified form of universal triple I method is established based onthe (0,1)-implication or R-implication. Moreover, the reversibilityproperty of universal triple I method is analyzed from expansion,reduction and other type operators, which demonstrate that itsreversibility property seems fine, especially for the case employingthe (0,1)-implication. Lastly, we analyze the response ability offuzzy controllers based on universal triple I method, then thepracticability of triple I method is improved.