Research on the orders differential optimization and structural expansion of multidimensional grey model

YIN Fengfeng, ZENG Bo, YU Le'an, MAO Cuiwei, BAI Yun

Systems Engineering - Theory & Practice ›› 2023, Vol. 43 ›› Issue (7) : 2166-2178.

PDF(498 KB)
PDF(498 KB)
Systems Engineering - Theory & Practice ›› 2023, Vol. 43 ›› Issue (7) : 2166-2178. DOI: 10.12011/SETP2022-2288

Research on the orders differential optimization and structural expansion of multidimensional grey model

  • YIN Fengfeng1, ZENG Bo1, YU Le'an2, MAO Cuiwei3, BAI Yun1
Author information +
History +

Abstract

Currently, the multidimensional grey prediction model takes the same order of dependent and independent variables for modeling, ignoring the differences between data characteristics and physical properties of different variables, which leads to poor stability of model performance. To this end, the paper defines and optimizes the orders of dependent and independent variables differentially and introduces a nonlinear correction term to expand the grey information structure of the model, on which a new multidimensional grey prediction model is constructed. The new model is used to simulating and predicting the corrosion rate of oil and gas pipelines, and the results show that its comprehensive error (0.321%) is much smaller than the other three mainstream multidimensional grey prediction models (3.035%, 2.212% and 0.755% respectively), achieving an effective modeling of the corrosion rate of pipelines. The research results improve the pre-processing effect of orders on sequence data and the mining ability of data features, which have positive significance for improving the modeling ability of multidimensional grey prediction models.

Key words

multidimensional grey prediction model / differential optimization of orders / expansion of model structure / prediction of pipeline corrosion rate

Cite this article

Download Citations
YIN Fengfeng , ZENG Bo , YU Le'an , MAO Cuiwei , BAI Yun. Research on the orders differential optimization and structural expansion of multidimensional grey model. Systems Engineering - Theory & Practice, 2023, 43(7): 2166-2178 https://doi.org/10.12011/SETP2022-2288

References

[1] Zeng B, Li H, Ma X. A novel multi-variable grey forecasting model and its application in forecasting the grain production in China[J]. Computers & Industrial Engineering, 2020, 150: 106915.
[2] Duan H M, Luo X L. A novel multivariable grey prediction model and its application in forecasting coal consumption[J]. ISA Transactions, 2022, 120: 110-127.
[3] 蔡景, 蔡坤烨, 黄世杰. 基于实时监测参数的民用飞机重着陆预警方法[J]. 交通运输工程学报, 2022, 22(2): 298-309.Cai J, Cai K Y, Huang S L. Early warning method for heavy landing of civil aircraft based on real-time monitoring parameters[J]. Journal of Traffic and Transportation Engineering, 2022, 22(2): 298-309.
[4] 曾波, 刘思峰, 白云, 等. 基于灰色系统建模技术的人体疾病早期预测预警研究[J]. 中国管理科学, 2020, 28(1): 144-152.Zeng B, Liu S F, Bai Y, et al. Grey system modeling technology for early prediction and warning of human diseases[J]. Chinese Journal of Management Science, 2020, 28(1): 144-152.
[5] Yan S L, Su Q, Gong Z W, et al. Fractional order time-delay multivariable discrete grey model for short-term online public opinion prediction[J]. Expert Systems with Applications, 2022, 197: 116691.
[6] 曾波, 李树良, 孟伟. 灰色预测理论及其应用[M]. 北京: 科学出版社, 2020: 89-107.Zeng B, Li S L, Meng W. Grey prediction theory and its applications[M]. Beijing: Science Press, 2020: 89-107.
[7] Zeng B, Luo C M, Liu S F. Development of an optimization method for the GM(1,N) model[J]. Engineering Applications of Artificial Intelligence, 2016, 55: 353-362.
[8] Zeng B, Luo C M, Li C, et al. A novel multi-variable grey forecasting model and its application in forecasting the amount of motor vehicles in Beijing[J]. Computers & Industrial Engineering, 2016, 101: 479-489.
[9] 张可, 曲品品, 张隐桃. 时滞多变量离散灰色模型及其应用[J]. 系统工程理论与实践, 2015, 35(8): 2092-2103.Zhang K, Qu P P, Zhang Y T. Delay multi-variables discrete grey model and its application[J]. Systems Engineering-Theory & Practice, 2015, 35(8): 2092-2103.
[10] 丁松, 党耀国, 徐宁, 等. 基于驱动因素控制的DFCGM(1,N)及其拓展模型构建与应用[J]. 控制与决策, 2018, 33(4): 712-718.Ding S, Dang Y G, Xu N, et al. Modeling and applications of DFCGM(1,N) and its extended model based on driving factors control[J]. Control and Decision, 2018, 33(4): 712-718.
[11] Xie M, Wu L F, Li B, et al. A novel hybrid multivariate nonlinear grey model for forecasting the traffic-related emissions[J]. Applied Mathematical Modelling, 2020, 77: 1242-1254.
[12] 丁松, 党耀国, 徐宁, 等. 基于交互作用的多变量灰色预测模型及其应用[J]. 系统工程与电子技术, 2018, 40(3): 595-602.Ding S, Dang Y G, Xu N, et al. Multivariable grey forecasting model based on interaction effect and its application[J]. Systems Engineering and Electronics, 2018, 40(3): 595-602.
[13] Ye L, Dang Y G, Wang J J, et al. An interactive grey multivariable model based on the dynamic accumulative driving effect and its application[J]. Applied Mathematical Modelling, 2022, 111: 228-246.
[14] 郝忠, 付操, 丁欣, 等. 优化的多变量变步长灰色模型及其在路基沉降预测中的应用[J]. 路基工程, 2018(3): 55-61.Hao Z, Fu C, Ding X, et al. Optimized multi-variable non-equidistance grey model and its application on prediction of subgrade settlement[J]. Subgrade Engineering, 2018(3): 55-61.
[15] Wu L F, Liu S F, Yao L G, et al. Using fractional order accumulation to reduce errors from inverse accumulated generating operator of grey model[J]. Soft Computing, 2015, 19(2): 483-488.
[16] 吴利丰, 刘思峰, 姚立根. 基于分数阶累加的离散灰色模型[J]. 系统工程理论与实践, 2014, 34(7): 1822-1827.Wu L F, Liu S F, Yao L G. Discrete grey model based on fractional order accumulate[J]. Systems Engineering-Theory & Practice, 2014, 34(7): 1822-1827.
[17] Gao X H, Wu L F. Using fractional order weakening buffer operator to forecast the main indices of online shopping in China[J]. Grey Systems: Theory and Application, 2019, 9(1): 128-140.
[18] 孟伟, 曾波. 分数阶算子与灰色预测模型研究[M]. 北京: 科学出版社, 2015: 18-78.Meng W, Zeng B. Research on fractional order operators and grey prediction model[M]. Beijing: Science Press, 2015: 18-78.
[19] 孟伟, 曾波. 基于互逆分数阶算子的离散灰色模型及阶数优化[J]. 控制与决策, 2016, 31(10): 1903-1907.Meng W, Zeng B. Discrete grey model with inverse fractional operators and optimized order[J]. Control and Decision, 2016, 31(10): 1903-1907.
[20] 曾波, 余乐安, 刘思峰, 等. 灰色累加算子与灰色累减算子的统一及其应用[J]. 系统工程理论与实践, 2021, 41(10): 2710-2720.Zeng B, Yu L A, Liu S F, et al. Unification of grey accumulation operator and the inverse operator and its application[J]. Systems Engineering-Theory & Practice, 2021, 41(10): 2710-2720.
[21] 曾波, 李惠, 余乐安, 等. 季节波动数据特征提取与分数阶灰色预测建模[J]. 系统工程理论与实践, 2022, 42(2): 471-486.Zeng B, Li H, Yu L A, et al. Feature extraction and fractional grey prediction modeling of seasonal fluctuation data[J]. Systems Engineering-Theory & Practice, 2022, 42(2): 471-486.
[22] Ma X, Mei X, Wu W Q, et al. A novel fractional time delayed grey model with Grey Wolf Optimizer and its applications in forecasting the natural gas and coal consumption in Chongqing China[J]. Energy, 2018, 33(4): 712-718.
[23] Xiong P P, Li K L, Shu H, et al. Forecast of natural gas consumption in the Asia-Pacific region using a fractional-order incomplete gamma grey model[J]. Energy, 2021, 237: 121533.
[24] Liu C, Wu W Z, Xie W L, et al. Application of a novel fractional grey prediction model with time power term to predict the electricity consumption of India and China[J]. Chaos, Solitons & Fractals, 2020, 141(1): 110429.
[25] Wang Y, Wang L, Ye L L, et al. A novel self-adaptive fractional multivariable grey model and its application in forecasting energy production and conversion of China[J]. Engineering Applications of Artificial Intelligence, 2022, 115: 105319.
[26] Zhu X Y, Dang Y G, Ding S. Using a self-adaptive grey fractional weighted model to forecast Jiangsu's electricity consumption in China[J]. Energy, 2020, 190: 116417.
[27] Zeng L. Analysing the high-tech industry with a multivariable grey forecasting model based on fractional order accumulation[J]. Kybernetes: The International Journal of Systems & Cybernetics, 2018, 48(6): 1158-1174.
[28] Yin F F, Zeng B. A novel multivariable grey prediction model with different accumulation orders and performance comparison[J]. Applied Mathematical Modelling, 2022, 109: 117-133.
[29] 李惠, 曾波, 周文浩. 基于灰色参数组合优化新模型的生活垃圾清运量预测研究[J]. 中国管理科学, 2022, 30(4): 96-107.Li H, Zeng B, Zhou W H. Forecasting domestic waste clearing and transporting volume by employing a new grey parameter combination optimization model[J]. Chinese Journal of Management Science, 2022, 30(4): 96-107.
[30] 曾波, 尹小勇, 孟伟. 实用灰色预测建模方法及其MATLAB程序实现[M]. 北京: 科学出版社, 2018: 5-49.Zeng B, Yin X Y, Meng W. Practical grey prediction modeling method and its MATLAB program realization[M]. Beijing: Science Press, 2018: 5-49.
[31] Meng M, Li Q, Zeng B, et al. FDGM(1,1) model based on unified fractional grey generation operator[J]. Grey Systems: Theory and Application, 2021, 11(3): 518-533.
[32] Zeng B, Duan H M, Zhou Y F. A new multivariable grey prediction model with structure compatibility[J]. Applied Mathematical Modelling, 2019, 75: 385-397.
[33] Zeng B, Yin F F, Yang Y J, et al. Application of the novel-structured multivariable grey model with various orders to forecast the bending strength of concrete[J]. Chaos, Solitons & Fractals, 2023, 168: 113200.
[34] 詹棠森, 荣喜民. 基于扰动因子的GM(1,N)模型数值算法[J]. 统计与决策, 2019, 35(12): 27-30.Zhan T S, Rong X M. Numerical algorithm for GM(1,N) model based on disturbance factor[J]. Statistics & Decision, 2019, 35(12): 27-30.
[35] 叶莉莉, 谢乃明, 罗党. 累积时滞非线性ATNDGM(1,N)模型构建及应用[J]. 系统工程理论与实践, 2021, 41(9): 2414-2427.Ye L L, Xie N M, Luo D. Construction of accumulative time-delay nonlinear ATNDGM(1,N) model and its application[J]. Systems Engineering-Theory & Practice, 2021, 41(9): 2414-2427.
[36] Xiong P P, Yin Y, Shi J, et al. Nonlinear multivariable GM(1,N) model based on interval grey number sequence[J]. Journal of Grey System, 2018, 30(3): 33-47.
[37] 何天隆, 李昊燃, 程远鹏, 等. 基于新型GM(1,N)模型的油气管道腐蚀速率预测[J]. 腐蚀与防护, 2021, 42(10): 79-85.He T L, Li H R, Cheng Y P, et al. Prediction of pipeline corrosion rate based on new GM(1,N) model[J]. Corrosion & Protection, 2021, 42(10): 79-85.
[38] 刘思峰. 灰色系统理论及其应用[M]. 9版. 北京: 科学出版社, 2021: 67-109.Liu S F. Grey system theory and its application[M]. 9th ed. Beijing: Science Press, 2021: 67-109.

Funding

National Natural Science Foundation of China (72071023); The Major Project of Science and Technology Research Program of Chongqing Education Commission of China (KJZD-M202300801); Chongqing Natural Science Foundation of China (CSTB2023NSCQ-MSX0365, CSTB2023NSCQ-MSX0380)
PDF(498 KB)

567

Accesses

0

Citation

Detail

Sections
Recommended

/