Abstract: With respect to the problem of multiple attribute decision-making with interval numbers and preference information on alternatives,the method of Grey Relational Analysis(GRA) is proposed. Then the calculation steps to solve it are given. As the key step,a single objective programming model is constructed to obtain the attribute weights. Then,the relational coefficients between objective preference and subjective preference of every alternative are obtained. Then,according to the relational degree,all alternatives are ranked. At last, a numerical example is provided to illustrate the proposed method. The result shows the approach is simple,effective and easy to calculate.

Key words: multiple attribute decision-making, attribute weight, interval numbers, Grey Relational Analysis(GRA), single objective programming