For many decision making problems, all the possible alternatives are treated equally before one find the most desirable alternative. But, it is a little unreasonable if all alternatives are treated equally. So, in this paper by taking the aggregation operator into account, the weights of criteria can be determined successfully. There in to, the parameters for aggregation operator are the decision maker's special preferences for some alternatives. On these bases, the correlation coefficient and aggregation operator integrated approach is constructed, to determine the most favorable alternative under the MCDM with interval-valued intuitionistic fuzzy numbers. Finally, we apply an example to show the validity of the proposed decision making approach.