An intuitionistic linguistic making decision method based on the compromise type variable weight vector is proposed. Firstly, The definition of the compromise type variable weight vector is proposed, the state weight vector of this variable weight is discussed, and the compromise type variable weight vector is induced by using the Markov utility function. Then, some operational laws and comparison criteria of the intuitionistic linguistic variable are defined and the properties of comparison criteria of the intuitionistic linguistic variable are presented. Based on these operational laws, some aggregation operators are proposed, including the intuitionistic linguistic information variable weighted arithmetic averaging operator and the intuitionistic linguistic information variable weighted geometric averaging operator. Based on these operators, an approach for solving multi-attribute group decision making problems is proposed, in which the attribute initial weights are known and the attribute values are expressed with the intuiti