DGM(2,1)的优化

IF 1 4区 工程技术 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Journal of Grey System Pub Date : 2009-03-01 DOI:10.30016/JGS.200903.0002
Xinhai Kong, Yong Wei
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引用次数: 6

摘要

本文从DGM(2,1)的灰色微分方程出发,推导了DGM(2,1)的内涵表达式,并证明了DGM(2,1)是非齐次指数型。进一步,通过将内涵表达式与白化方程的解进行比较,我们发现解与内涵表达式不一致,微分恢复值与逆累积恢复值也不一致。在此基础上,提出了具有白色指数叠加的优化DGM(2,1)。算例表明,优化后的模型具有较高的仿真精度。
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Optimization of DGM (2, 1)
Based on the grey differential equation of DGM (2, 1), its Connotation expression is derived in this paper, and shows that DGM (2, 1) is a non-homogeneous exponential type. Further, by comparing the connotation expression with the solution of the whitenization equation, we find that the solution is inconsistent with the connotation expression, and the differential restored value is also inconsistent with the inverse-accumulating restored value. So the optimized DGM (2, 1) is presented, which has the white exponential superposition. Some examples also show that the optimized model has a high simulation precision.
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来源期刊
Journal of Grey System
Journal of Grey System 数学-数学跨学科应用
CiteScore
2.40
自引率
43.80%
发文量
0
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.
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