A method is proposed to entrust with the weights for the hybrid multiple attribute decision-making prob- lem with real number, interval number and intuitionistic trapezoidal fuzzy numbers, and the weight is evaluated by three aspects. They are reliability of the attributes, role of the attribute and the decision makers' preference of attributes. Firstly we define the meaning of reliability, and calculate reliability. Then the effect of attribute to de- cision is calculated based on the difference between attributes. Next, the distance between ...