With regard to linguistic multiple attribute decision making （LMADM） problem where the weights of attributes are unknown，the linguistic evaluation information is transformed in the interval type2 fuzzy numbers through the EKM algorithm，on this basis，an interval type2 fuzzy information entropy is defined，its characteristics and properties are discussed as well.The optimization model is constructed to solve attributes weights in MADM on the basis of maximizing information entropy.Furthermore，a method to multiple attribute decision making is developed based on TOPSIS and interval type2 fuzzy information entropy.Finally，an example is given to show the feasibility and effectiveness of the proposed method.