Reverse universal triple I method of (1,1,2) type for the Lukasiewicz implication

摘要

A new fuzzy reasoning method called the reverse universal triple I method of (1,1,2) type (reverse universal triple I method for short) is proposed and investigated by means of the famous Lukasiewicz implication, which contains the reverse triple I method as its special case. The reverse triple I principles are improved, and the optimal solutions of reverse universal triple I method are obtained for Fuzzy Modus Ponens (FMP) and Fuzzy Modus Tollens (FMT). Furthermore, it is found that the reverse universal triple I method has the reversibility property. Lastly, the reverse universal triple I method is further generalized to the alpha-reverse universal triple I method, and the related principles and optimal solutions are achieved.