The aim of this paper is to investigate an intuitionistic fuzzy sets based generalized multiple attributes group decision making (GMAGDM) adapting to the situation that the attribute sets considered by a group of experts are not the same and the decision information are provided with intuitionistic fuzzy numbers (IFNs). Firstly, we develop three general procedures to handle different intuitionistic fuzzy sets based GMAGDM issues with diverse weight information: completely known, partly known and completely unknown. Then, a novel procedure on the basis of information collection and transformation is put forward. Therein the transformation relation between the IFN and the interval-valued hesitant fuzzy element (IVHFE) is utilized. Finally, an investment selection problem is illustrated to show the reasonability and efficiency of the proposed algorithms.