With the acceleration of economic development and urbanization, urban air pollution is becoming increasingly serious and has already affected the environmental and human health. Therefore, the detection and management of air quality is imperative. An accurate air quality evaluation can help people better understand and improve the air quality. In this work, a new multi-pollutant weighted comprehensive air quality assessment method combined with the relative entropy theory and improved order preference by similarity to the ideal solution (iTOPSIS) method is proposed. First, two objective weight methods are adopted to determine the degree of influence of pollutants on air quality. Then, a comprehensive weight is calculated using the relative entropy, which can measure the degree of similarity between the two probability distributions. Based on the calculated comprehensive weights, the air quality level is evaluated using the iTOPSIS method. Finally, the effectiveness of the proposed method is evaluated using an example. The results show that the proposed method can not only directly express the air quality level but also provide important and effective information for managers to use to control air pollution.

中文翻译：

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基于相对熵理论和改进TOPSIS法的城市空气质量综合评价

随着经济发展和城市化进程的加快，城市空气污染日益严重，已经影响到环境和人类健康。因此，空气质量的检测和管理势在必行。准确的空气质量评估可以帮助人们更好地了解和改善空气质量。在这项工作中，提出了一种新的多污染物加权综合空气质量评估方法，该方法结合相对熵理论和改进阶次偏好的相似理想解法（iTOPSIS）方法。首先，采用两种客观权重法确定污染物对空气质量的影响程度。然后，利用相对熵计算综合权重，可以衡量两个概率分布之间的相似程度。根据计算出的综合权重，采用iTOPSIS方法评价空气质量水平。最后，通过一个例子来评估所提出方法的有效性。结果表明，所提出的方法不仅可以直接表达空气质量水平，还可以为管理人员控制空气污染提供重要有效的信息。