Reverse triple I method of fuzzy reasoning for the implication operator RLRL

First, the reverse triple I method with Lukasiewicz’s implication operator is studied. The formulas of supremum for Fuzzy Modus Ponens (FMP) and infimum for Fuzzy Modus Tollens (FMT) of inverse triple I method are obtained respectively. Second, the reductivity of reverse triple I method is considered. Lastly, the theory of sustention degree is discussed and its properties are analysed. The generalized problem of reverse triple I method is solved and the corresponding formulas of αα-reverse triple I method with sustention degree are also given.