According to the multiple criteria decision problems in which criteria values are interval valued intuitionistic fuzzy number and criteria weights are interval numbers, a method with interval valued intuitionistic fuzzy number based on binary connection number is proposed. Firstly, the interval valued intuitionistic fuzzy number and the binary connection number are depicted. Secondly, the transformation methods of connection number into binary connection number and binary connection number into real number are studied, and the differences between traditional interval number and binary connection number are compared. Thirdly, decision alternatives are selected by transforming the interval close degree of conversion into the binary connection number are compaved. Finally, a numerical example is given to illustrate the superiority and feasibility of the proposed method.