Universal Triple I Method for Fuzzy Reasoning and Fuzzy Controller

Abstract

As a generalization of the triple I method, the universal triple I<br />method is investigated from the viewpoints of both fuzzy reasoning<br />and fuzzy controller. The universal triple I principle is put<br />forward, which improves the previous triple I principle. Then,<br />unified form of universal triple I method is established based on<br />the (0,1)-implication or R-implication. Moreover, the reversibility<br />property of universal triple I method is analyzed from expansion,<br />reduction and other type operators, which demonstrate that its<br />reversibility property seems fine, especially for the case employing<br />the (0,1)-implication. Lastly, we analyze the response ability of<br />fuzzy controllers based on universal triple I method, then the<br />practicability of triple I method is improved.