Abstract: Multiple attribute group decision making(MAGDM) is a common optimal estimation method that based on the ranking of aggregation operators. In this essay, a Novel Sort Method in MAGDM based on Choquet Bonferroni Means is proposed for Trapezoidal Intuitionistic Fuzzy with the input arguments as not independent. At the very beginning the basic principle and computation rule of trapezoidal intuitionistic fuzzy sets are introduced. Secondly, the trapezoidal intuitionistic fuzzy Choquet Bonferroni Normalized weighted harmonic mean (TrIFCBNWHM) is presented based on the ability of Choquet integral converts the interaction between decision information into the weight information of TrIFNs. What is more, its desirable properties are discussed in this section. Furthermore, a ranking index model based on the centroid, mean and ambiguity of each alternative TrIFNs is constructed. Finally, a practical example has been presented to illustrate the proposed MAGDM technique and show that it is an effective tool to reveal the importance of each attribute and the correlations among them in MAGDM problems. The data that applied in this essay are captured from the previous researches. The construction of the multi-attribute group decision making method with trapezoidal intuitionistic fuzzy environment makes fuzzy decision making more scientific, it may gather more research attention in this field, and constantly adds new characteristics in the potential applications of economics, statistics and other research disciplines.

Key words: MAGDM, TrIFN, Choquet integral, Bonferroni averaging operator, TrIFCBNWH