Abstract: The residual implication operatorwas derived using triangularmodule, and the triple I algorithm for the residual implication operator that applies under certain conditions was obtained according to the properties of triangular module and the residual implication operator. The properties of the sustaining degree of these operators were analyzed. The generalized triple I formulae of FMP (fuzzy modus ponens) and FMT (fuzzy modus tollens) models were also proposed.