In trapezoidal intuitionistic fuzzy multi numbers, an aggregation operator performs the task of aggregate the described information to generate a ranking of alternatives which are two critical tasks: a flexible and superior tool for the first task and an effective tool for the second task is aggregation operator. Therefore, in the study, we give new aggregation operators, based on Archimedean T-norm and T-conorm operations which is called Archimedean norms operator for aggregating trapezoidal intuitionistic fuzzy multi-information. Then, we develop a multi criteria decision making method based on the given operators. Finally, the feasibility and effectiveness of the method is demonstrated via a numerical example.