Damping accumulative NDAGM(1,N, α) power model and its applications

IF 3.2 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Grey Systems-Theory and Application Pub Date : 2024-05-10 DOI:10.1108/gs-12-2023-0117
Ye Li, Chengyun Wang, Junjuan Liu
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引用次数: 0

Abstract

Purpose

In this essay, a new NDAGM(1,N,α) power model is recommended to resolve the hassle of the distinction between old and new information, and the complicated nonlinear traits between sequences in real behavior systems.

Design/methodology/approach

Firstly, the correlation aspect sequence is screened via a grey integrated correlation degree, and the damped cumulative generating operator and power index are introduced to define the new model. Then the non-structural parameters are optimized through the genetic algorithm. Finally, the pattern is utilized for the prediction of China’s natural gas consumption, and in contrast with other models.

Findings

By altering the unknown parameters of the model, theoretical deduction has been carried out on the newly constructed model. It has been discovered that the new model can be interchanged with the traditional grey model, indicating that the model proposed in this article possesses strong compatibility. In the case study, the NDAGM(1,N,α) power model demonstrates superior integrated performance compared to the benchmark models, which indirectly reflects the model’s heightened sensitivity to disparities between new and old information, as well as its ability to handle complex linear issues.

Practical implications

This paper provides a scientifically valid forecast model for predicting natural gas consumption. The forecast results can offer a theoretical foundation for the formulation of national strategies and related policies regarding natural gas import and export.

Originality/value

The primary contribution of this article is the proposition of a grey multivariate prediction model, which accommodates both new and historical information and is applicable to complex nonlinear scenarios. In addition, the predictive performance of the model has been enhanced by employing a genetic algorithm to search for the optimal power exponent.

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阻尼累积 NDAGM(1,N,α)功率模型及其应用
设计/方法/途径首先,通过灰色综合相关度筛选相关方面序列,引入阻尼累积生成算子和功率指数定义新模型。然后通过遗传算法优化非结构参数。通过改变模型的未知参数,对新构建的模型进行了理论推导。通过改变模型的未知参数,对新构建的模型进行了理论推导,发现新模型可以与传统的灰色模型互换,说明本文提出的模型具有很强的兼容性。在案例研究中,与基准模型相比,NDAGM(1,N,α)电力模型表现出更优越的综合性能,这间接反映出该模型对新旧信息差异的敏感度更高,同时也反映出其处理复杂线性问题的能力。原创性/价值本文的主要贡献在于提出了一个灰色多元预测模型,该模型可同时容纳新信息和历史信息,并适用于复杂的非线性情况。此外,通过采用遗传算法寻找最佳幂指数,该模型的预测性能也得到了提高。
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来源期刊
Grey Systems-Theory and Application
Grey Systems-Theory and Application MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-
CiteScore
4.80
自引率
13.80%
发文量
22
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