GM(1 ,1) 模型的几种基本形式及其适用范围研究

doi:10.3969/1.issn.1001-506X.2014.03.16

Systems Engineering and Electronics ›› 2014, Vol. 36 ›› Issue (3): 501-508.doi: 10.3969/1.issn.1001-506X.2014.03.16

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

LIU Sifeng, ZENG Bo, LIU Jiefang, XIE Naiming

l. Institute for Grey Systems Studies , Nanjing University of Aeronautics and Astronautics, Nanjing 210016 , China; 2. College of Business Planning , Chongqing Technology and Business University , Chongging 400067, China

Online:2014-03-24 Published:2010-01-03

Abstract

Abstract:

The definitions of 4 basic models of GM(1,1), such as even grey model (EGM) , original differ-ence grey model (ODGM), even difference grey model (EDCM) ,and discrete grey model (DGM) , are put forward, The properties and characteristics of different models are studied and the equivalences of different modelsare 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: ODCM, EDCM and DCM are suitable for homoeneous exponential sequences or sequences which are close to the homogeneous exponential sequences. The EGM are suitable for nonhomogeneous exponential increasing seguences and vibration seguences.

Key words: GM(1, 1) ;basic models ;applicable bound

CLC Number:

N 941.5

LIU Sifeng, ZENG Bo, LIU Jiefang, XIE Naiming. Several basic models of GM(1 ,1) and their applicable bound[J]. Systems Engineering and Electronics, 2014, 36(3): 501-508.

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

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