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According to gray system theory, the main research includes correlation analysis, cluster evaluation, prediction, decision-making, and control (Chen et al., 2018). In recent years, the theory has derived a variety of different gray correlation analysis models and algorithms, such as area correlation model, slope correlation model, A-type correlation model, B-type correlation model, parametric gray correlation model, generalized gray correlation model, absolute gray correlation model and relative correlation model, and other algorithms to improve the calculation of correlation between data series, as well as gray cloud optimization-based whitening model and multi-attribute decision making of fuzzy complementary judgment matrix and other improvements on gray decision algorithms, optimization of gray cluster analysis algorithm of stomach, and refinement of multivariate gray control model (Ferasso et al., 2020). The grey correlation analysis method is an important part of grey system theory, and its basic idea is to calculate the correlation between curves by comparing the proximity between them concerning the data series and comparing the geometry of the data series. Scholars combine their research directions and analyze the characteristics of gray correlation models to propose many innovative and feasible solutions (Li et al., 2020).