Abstract: Standardization of the decision matrix with interval numbers is the basis for interval multi-attribute decision-making．Standardization makes the different types of attribute values can be compared and calculated．The advantages and disadvantages of the existing standardization formula were analyzed． This paper presented several characters that standardization function should satisfy．According to limits of the existing method,a new formula was given based on the range transformation idea．After a standardized,the attribute values are in the range of [0,1],and the relation of different projects under the same attribute remainis unchanged．It is proven that the new formula satisfies characters of monotone,translation invariance,difference ratio invariance,scaling invariance and stability properties of interval．Finally,an example was given to verify the feasibility and effectiveness of new method.

Key words: Intervals,Decision matrix,Standardization,Character