Abstract: In order to compare the various moments and overall pros and cons of multiple evaluated objects in a certain period of time, dynamic evaluation is required. Aiming at the advantages and disadvantages of TOPSIS and gray correlation method, the time dimension is taken into account, and then a dynamic evaluation method based on grey correlational analysis by the method of balance and approach and improved TOPSIS considering the preference of the decision maker is proposed. This method is able to reflect the positional relationship and curve relationship between ideal solution and alternatives simultaneously, and avoid the problem of local point association tendency. Moreover, both inventory and increment can be taken into consider at the same time, and the overall evaluation result of each object to be evaluated at each moment and time period can be obtained. According to the preference of decision maker to positional relationship and curve relationship, different parameter can be determined. Finally, an empirical analysis of high-quality economic development is used to verify the effectiveness and advantages of the proposed method.

Key words: grey relational degree; degree of balance and approach; dynamic evaluation method; preference; high-quality development