Abstract：The reverse triple I principle, reverse α-triple I principle and reverse triple I restriction principle of intuitionistic fuzzy reasoning for intuitionistic fuzzy modus ponens(IFMP) and intuitionistic fuzzy modus tollens(IFMT) problems are proposed. Aiming at the residual intuitionistic fuzzy implicator, the formulas and decomposition forms of solutions of intuitionistic fuzzy reasoning reverse triple I methods, reverse α-triple I methods and reverse triple I restriction methods for IFMP and IFMT problems are given. It is pointed out that these methods are all generalized in the case of the corresponding fuzzy sets. Moreover, the reductive properties of intuitionistic fuzzy reasoning reverse triple I methods for IFMP and IFMT problems are discussed.
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