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Fractional derivative multivariable grey model for nonstationary sequence and its application 被引量:3
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作者 KANG Yuxiao MAO Shuhua +1 位作者 ZHANG Yonghong ZHU Huimin 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2020年第5期1009-1018,共10页
Most of the existing multivariable grey models are based on the 1-order derivative and 1-order accumulation, which makes the parameters unable to be adjusted according to the data characteristics of the actual problem... Most of the existing multivariable grey models are based on the 1-order derivative and 1-order accumulation, which makes the parameters unable to be adjusted according to the data characteristics of the actual problems. The results about fractional derivative multivariable grey models are very few at present. In this paper, a multivariable Caputo fractional derivative grey model with convolution integral CFGMC(q, N) is proposed. First, the Caputo fractional difference is used to discretize the model, and the least square method is used to solve the parameters. The orders of accumulations and differential equations are determined by using particle swarm optimization(PSO). Then, the analytical solution of the model is obtained by using the Laplace transform, and the convergence and divergence of series in analytical solutions are also discussed. Finally, the CFGMC(q, N) model is used to predict the municipal solid waste(MSW). Compared with other competition models, the model has the best prediction effect. This study enriches the model form of the multivariable grey model, expands the scope of application, and provides a new idea for the development of fractional derivative grey model. 展开更多
关键词 fractional derivative of Caputo type fractional accumulation generating operation(FAGO) Laplace transform multivariable grey prediction model particle swarm optimization(PSO)
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Comprehensive multivariate grey incidence degree based on principal component analysis 被引量:6
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作者 Ke Zhang Yintao Zhang Pinpin Qu 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2014年第5期840-847,共8页
To overcome the too fine-grained granularity problem of multivariate grey incidence analysis and to explore the comprehensive incidence analysis model, three multivariate grey incidences degree models based on princip... To overcome the too fine-grained granularity problem of multivariate grey incidence analysis and to explore the comprehensive incidence analysis model, three multivariate grey incidences degree models based on principal component analysis (PCA) are proposed. Firstly, the PCA method is introduced to extract the feature sequences of a behavioral matrix. Then, the grey incidence analysis between two behavioral matrices is transformed into the similarity and nearness measure between their feature sequences. Based on the classic grey incidence analysis theory, absolute and relative incidence degree models for feature sequences are constructed, and a comprehensive grey incidence model is proposed. Furthermore, the properties of models are researched. It proves that the proposed models satisfy the properties of translation invariance, multiple transformation invariance, and axioms of the grey incidence analysis, respectively. Finally, a case is studied. The results illustrate that the model is effective than other multivariate grey incidence analysis models. 展开更多
关键词 grey system multivariate grey incidence analysis behavioral matrix principal component analysis (PCA).
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Epidemic Prediction of Hemorrhagic Fever with Renal Syndrome Using Grey Multivariable Model 被引量:2
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作者 GENG Jianping(First team,Fourth Military Medical Universitg,Xi’an 710032,China) 《Systems Science and Systems Engineering》 CSCD 1994年第1期42-44,共3页
In this paper,we set up a grey multivtriable model to predict the HFRS morbidity.Forecasting test results show that this new model is of general use in the prediction Of the disease.It is particularly appropriate for ... In this paper,we set up a grey multivtriable model to predict the HFRS morbidity.Forecasting test results show that this new model is of general use in the prediction Of the disease.It is particularly appropriate for HFRS investigations and controls. 展开更多
关键词 grey multivariable model PREDICTION hemorrhagic fever with renal syndrome(HFRS)
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