Several basic models of GM (1, 1) and their applicable bound

被引：62

作者：

Liu, Si-Feng ^{[1
]}

Zeng, Bo ^{[2
]}

Liu, Jie-Fang ^{[1
]}

Xie, Nai-Ming ^{[1
]}

机构：

[1] Institute for Grey Systems Studies, Nanjing University of Aeronautics and Astronautics

[2] College of Business Planning, Chongqing Technology and Business University

来源：

Xi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics | 2014年 / 36卷 / 03期

关键词：

Applicable bound; Basic models; GM; (1; 1);

D O I：

10.3969/j.issn.1001-506X.2014.03.16

中图分类号：

N94 [系统科学]; C94 [];

学科分类号：

0711 ; 081103 ; 1201 ;

摘要：

The definitions of 4 basic models of GM (1, 1), such as even grey model (EGM), original difference grey model (ODGM), even difference grey model (EDGM), and discrete grey model (DGM), are put forward. The properties and characteristics of different models are studied and the equivalences of different models are proved. The applicable bounds of different models are studied by simulation and analysis with homogeneous exponential sequences, nonhomogeneous exponential increasing sequences, and vibration sequences. The main conclusions are obtained as follows: ODGM, EDGM and DGM are suitable for homogeneous exponential sequences or sequences which are close to the homogeneous exponential sequences. The EGM are suitable for nonhomogeneous exponential increasing sequences and vibration sequences.

引用

页码：501 / 508

页数：7

共 48 条

[31]

Yao T.X., Forrest J., Gong Z.W., Generalized discrete GM (1, 1) model, Grey Systems: Theory and Application, 2, 1, pp. 4-12, (2012)

[32]

Luo Y.X., Non-equidistant step by step optimum new information GM (1, 1) and its application, Systems Engineering-Theory & Practice, 30, 12, pp. 2254-2258, (2010)

[33]

Wang Y.M., Dang Y.G., Wang Z.X., The optimization of background value in non-equidistant GM (1, 1) model, Chinese Journal of Management Science, 16, 4, pp. 159-162, (2008)

[34]

Dai W.Z., Li J.F., Research on non-equidistance GM (1, 1) modeling, Systems Engineering-Theory & Practice, 25, 9, pp. 89-93, (2005)

[35]

Liu S.F., Deng J.L., The range suitable for GM (1, 1), Systems Engineering-Theory & Practice, 20, 5, pp. 121-124, (2000)

[36]

Wang Z.X., Dang Y.G., Liu S.F., An optimal GM (1, 1) based on the discrete function with exponential law, Systems Engineering-Theory & Practice, 28, 2, pp. 61-67, (2008)

[37]

Xie N.M., Liu S.F., Research on extension of discrete grey model and its optimize formula, Systems Engineering-Theory & Practice, 26, 6, pp. 108-112, (2006)

[38]

Salmeron J.L., Modelling grey uncertainty with fuzzy grey cognitive maps, Expert Systems with Applications, 37, 12, pp. 7581-7588, (2010)

[39]

Zhang Q.S., Improving the precision of GM (1, 1) model by using particle swarm optimization, Chinese Journal of Management Science, 15, 5, pp. 126-129, (2007)

[40]

Zhang K., Liu S.F., Indirect generating grey model based on particle swarm optimization algorithm, Systems Engineering and Electronics, 32, 7, pp. 1437-1440, (2010)

← 1 2 3 4 5 →