To determine the index weight in the decision-making process, the advantages and disadvantages of subjective and objective empower methods based on the principle of“function drive”and“difference drive”are analyzed, and the grey correlation and technique for order preference by similarty to ideal solution(TOPSIS) are used, considering the probable influence of the indexes on each other as well as taking data envelopment analysis(DEA) and analytic hierarchy process(AHP) as the auxiliary models, to construct an area-based measurement. By using the coefficient which is the area between two adjacent points, the decision-making model of grey correlation is adopted, to calculate the closeness degree of grey correlation in each scheme to ensure that the index weight reflects the subjective and objective degrees and the consistency of changes at the same time. Example analysis shows that the proposed method is scientific and practical.