一种适合DGM(1,1)模型的数据处理方法

IF 1 4区工程技术 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Journal of Grey System Pub Date : 2011-09-01 DOI:10.30016/JGS.201109.0003

Xinhai Kong, Zhi-bin Liu, Yong Wei

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引用次数: 0

摘要

针对离散GM(1,1)模型(DGM(1,1)模型)可以完全拟合纯指数序列的特点，根据原序列类比的变化趋势，提出了一种数据处理方法，使变换后序列的类比近似于原序列的最小或最大类比，从而更适合于构造DGM(1,1)模型。并在优化后的DGM(1,1)模型(ODGM(1,1)模型)的基础上，构建了R-ODGM(1,1)模型和M-ODGM(1,1)模型。实例表明，该方法效果良好，R-ODGM(1,1)模型和M-ODGM(1,1)模型的仿真精度均在98%以上。

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A Kind of Data Processing Method Suited to DGM (1, 1) Model

Aiming at the discrete GM (1, 1) model (DGM (1, 1) model) can completely fit the pure exponential sequence, and according to the changing trend of the class ratio of the original sequence, this paper put forward a kind of data processing method to make the class ratio of the transformed sequence approximate the minimum or maximum class ratio of the original sequence for being better suited to construct DGM (1, 1) model. And based on the optimized DGM (1, 1) model (ODGM (1, 1) model), we construct the R-ODGM (1, 1) model and M-ODGM (1, 1) model. Examples show that this method has a good effect, and the simulation accuracy of R-ODGM (1, 1) model and M-ODGM (1, 1) model is over 98%.

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来源期刊

Journal of Grey System 数学-数学跨学科应用

CiteScore

2.40

自引率

43.80%

发文量

审稿时长

1.5 months

期刊介绍： The journal is a forum of the highest professional quality for both scientists and practitioners to exchange ideas and publish new discoveries on a vast array of topics and issues in grey system. It aims to bring forth anything from either innovative to known theories or practical applications in grey system. It provides everyone opportunities to present, criticize, and discuss their findings and ideas with others. A number of areas of particular interest (but not limited) are listed as follows: Grey mathematics- Generator of Grey Sequences- Grey Incidence Analysis Models- Grey Clustering Evaluation Models- Grey Prediction Models- Grey Decision Making Models- Grey Programming Models- Grey Input and Output Models- Grey Control- Grey Game- Practical Applications.