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This article focuses on the research on the gray relational analysis of this multi-index comprehensive evaluation method, and the application of this method is applied to the evaluation of industrial economic benefits in western region of China. According to the model method, the evaluation objects can be arranged in the sequence based on the pros and cons, eventually the empirical results and the economic reality of western provinces is basically consistent. The result shows that this method can deal with the complicated and multi-hierarchy problem with insufficient information and it is of good maneuverability. Keywords-Grey relational analysis, Industrial economic benefits, Comprehensive evaluation, AHP, Western region.

Application of Grey Relational Analysis in Appraisal of Industrial Economic Benefits