Abstract: Intuitionistic fuzzy implication plays an important role in the intuitionistic fuzzy reasoning, and provides basic theory for applications of the uncertain reasoning and decision-making. hhc instuitionistic fuzzy implication was rc- searched. The basic knowledge of the intuitionistic fuzzy was firstly reviewed, a new kind of the generalized intuitionistic fuzzy implication was constructed, and its properties were proved, such as its monotonicity law and boundary, etc. Fur- thcrmorc, it was proved that the implication can construct the intuitionistic fuzzy rcsiduatcd lattice.

Key words: Intuitionistic fuzzy scts,Intuitionistic fuzzy implication,Intuitionistic fuzzy rcsiduatcd lattice