As the core of the old industrial base in northeast of China, Liaoning Province has certain difficulties in pursuing economic development while maintaining efficient atmospheric environment governance due to its special industrial structure and its regional problems. Based on the TOPSIS method to evaluate the performance of atmospheric environment governance in Liaoning Province, it can be seen that the performance has achieved rapid growth in the short term between 2016 and 2017.The results of

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... performance evaluation from the perspective of quasi target level, that is, the comparative analysis of 2013-2017 performance from three aspects of pressure dimension, status dimension and response dimension, found that there are performance differences under different quasi target dimensions, and the performance of atmospheric environment governance in Liaoning Province is greatly affected by environmental policies. TOPSIS method is also called "ideal solution method", and its main idea is to determine the ideal solution and negative ideal solution of the scheme. The ranking is performed by comparing the distance of an evaluation scheme which closes to the ideal solution (optimal solution) and keeps away from the negative ideal solution (the worst solution),that is, comparing the weighted Euclidean distance between the comparative evaluation scheme and the ideal scheme (optimal scheme) and the imperfect scheme (worst scheme), the evaluation schemes are ranked accordingly. If an evaluation scheme is closest to the ideal solution (optimal solution) and farthest away from the negative ideal solution (worst solution), then the evaluation scheme is an ideal scheme compared to other schemes. The TOPSIS method can combine different indicators to evaluate multiple indicators in the process of evaluation comparison. Therefore, it is a relatively comprehensive evaluation method. At the same time, because the TOPSIS method does not have strict requirements on the sample size, data distribution characteristics, and number of indicators. And it has the characteristics of wide application range, small calculation amount, intuitive geometric meaning, and small information distortion. Therefore, the TOPSIS method has been widely used in evaluation research in recent years.