A Novel PM2.5 Concentration Forecasting Method Based on LFIG_DTW_HC Algorithm and Generalized Additive Model

IF 1.6 3区 数学 Q1 MATHEMATICS, APPLIED Axioms Pub Date : 2023-12-13 DOI:10.3390/axioms12121118
Hong Yang, Han Zhang
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Abstract

As air pollution becomes more and more serious, PM2.5 is the primary pollutant, inevitably attracts wide public attention. Therefore, a novel PM2.5 concentration forecasting method based on linear fuzzy information granule_dynamic time warping_hierarchical clustering algorithm (LFIG_DTW_HC algorithm) and generalized additive model is proposed in this paper. First, take 30 provincial capitals in China for example, the cities are divided into seven regions by LFIG_DTW_HC algorithm, and descriptive statistics of PM2.5 concentration in each region are carried out. Secondly, it is found that the influencing factors of PM2.5 concentration are different in different regions. The input variables of the PM2.5 concentration forecasting model in each region are determined by combining the variable correlation with the generalized additive model, and the main influencing factors of PM2.5 concentration in each region are analyzed. Finally, the empirical analysis is conducted based on the input variables selected above, the generalized additive model is established to forecast PM2.5 concentration in each region, the comparison of the evaluation indexes of the training set and the test set proves that the novel PM2.5 concentration forecasting method achieves better prediction effect. Then, the generalized additive model is established by selecting cities from each region, and compared with the auto-regressive integrated moving average (ARIMA) model. The results show that the novel PM2.5 concentration forecasting method can achieve better prediction effect on the premise of ensuring high accuracy.
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基于 LFIG_DTW_HC 算法和广义加法模型的新型 PM2.5 浓度预测方法
随着空气污染日益严重,作为首要污染物的 PM2.5 不可避免地引起了公众的广泛关注。因此,本文提出了一种基于线性模糊信息粒度_动态时间扭曲_层次聚类算法(LFIG_DTW_HC算法)和广义加法模型的新型PM2.5浓度预报方法。首先,以中国 30 个省会城市为例,利用 LFIG_DTW_HC 算法将城市划分为 7 个区域,并对各区域 PM2.5 浓度进行描述性统计。其次,研究发现不同区域 PM2.5 浓度的影响因素不同。结合变量相关性和广义加法模型,确定了各地区 PM2.5 浓度预测模型的输入变量,并分析了各地区 PM2.5 浓度的主要影响因素。最后,根据上述选取的输入变量进行实证分析,建立广义加法模型对各地区的 PM2.5 浓度进行预报,通过训练集和测试集的评价指标对比,证明新颖的 PM2.5 浓度预报方法取得了较好的预报效果。然后,通过选择各地区的城市建立广义加法模型,并与自回归积分移动平均(ARIMA)模型进行比较。结果表明,新型 PM2.5 浓度预报方法在保证高精度的前提下,能取得较好的预报效果。
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来源期刊
Axioms
Axioms Mathematics-Algebra and Number Theory
自引率
10.00%
发文量
604
审稿时长
11 weeks
期刊介绍: Axiomatic theories in physics and in mathematics (for example, axiomatic theory of thermodynamics, and also either the axiomatic classical set theory or the axiomatic fuzzy set theory) Axiomatization, axiomatic methods, theorems, mathematical proofs Algebraic structures, field theory, group theory, topology, vector spaces Mathematical analysis Mathematical physics Mathematical logic, and non-classical logics, such as fuzzy logic, modal logic, non-monotonic logic. etc. Classical and fuzzy set theories Number theory Systems theory Classical measures, fuzzy measures, representation theory, and probability theory Graph theory Information theory Entropy Symmetry Differential equations and dynamical systems Relativity and quantum theories Mathematical chemistry Automata theory Mathematical problems of artificial intelligence Complex networks from a mathematical viewpoint Reasoning under uncertainty Interdisciplinary applications of mathematical theory.
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