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.

中文翻译：

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使用分数阶 Hausdorff 灰色多元模型模拟人口密度与空气质量之间的关系

目的

所提出的模型可以强调新信息的优先级，并且可以从第一对原始数据中提取消息。对比结果表明，所提出的模型能够对传统的灰色模型进行改进。

设计/方法/方法

首次提出了分数阶Hausdorff导数的灰色多元模型，以提高传统灰色模型的预测精度。

发现

所提出的模型分别用于预测十个城市的空气质量综合指数（AQCI）。

原创性/价值

空气质量较差的城市人口密度对空气质量指数的影响不如空气质量较好的城市显着。