Universal Triple I Method for Fuzzy Reasoning and Fuzzy Controller

Document Type : Research Paper


1 Information and Communication Engineering Postdoctoral Research Station, School of Computer and Information, Hefei University of Technology, Hefei 230009, China

2 Institute of Technology and Science, The University of Tokushima, Minami Josanjima, Tokushima, 770-8506, Japan


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


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