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Purpose

The proposed model can emphasize the priority of new information and can extract messages from the first pair of original data. The comparison results show that the proposed model can improve the traditional grey model.

Design/methodology/approach

The grey multivariate model with fractional Hausdorff derivative is firstly put forward to enhance the forecasting accuracy of traditional grey model.

Findings

The proposed model is used to predict the air quality composite index (AQCI) in ten cities respectively.

Originality/value

The effect of population density on AQCI in cities with poor air quality is not as significant as that of the cities with better air quality.

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