2014
DOI: 10.1016/j.apm.2013.10.004
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The modeling mechanism, extension and optimization of grey GM (1, 1) model

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Cited by 72 publications
(39 citation statements)
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“…However, although the gray prediction model has made great progress in its modeling mechanism and performance optimization since the 1980s[3, 32] and some new practical gray system models have been developed [33–34], there are still some problems with the structural and parameter optimization of the traditional gray prediction model [3540]. Therefore, an improved gray model termed, EGM(1,1, r ), is built, and the modeling conditions and error checking methods of EGM(1,1, r ) are studied.…”
Section: Data Characteristics and Methods Selectionmentioning
confidence: 99%
“…However, although the gray prediction model has made great progress in its modeling mechanism and performance optimization since the 1980s[3, 32] and some new practical gray system models have been developed [33–34], there are still some problems with the structural and parameter optimization of the traditional gray prediction model [3540]. Therefore, an improved gray model termed, EGM(1,1, r ), is built, and the modeling conditions and error checking methods of EGM(1,1, r ) are studied.…”
Section: Data Characteristics and Methods Selectionmentioning
confidence: 99%
“…The grey system theory is established by Deng in 1982 [3], mainly based on small sample with partial information known and partial information unknown [4]. It mainly focuses on analysis of uncertainty and poor information system [5].…”
Section: A Gm(11) Modelmentioning
confidence: 99%
“…Two remarkable aspects can be highlighted: theory and application. Theoretically, several improved versions have been proposed, including the hybrid one (Xia, Chen, Zhang, & Wang, 2008), discrete one (Xie & Liu, 2009), intelligent algorithm-based ones (Bahrami, Hooshmand, & Parastegari, 2014;Hsu, 2010), least-squares-based one (Xu, Tan, Tu, & Qi, 2011), smart adaptive one (Truong & Ahn, 2012) as well as the fractional order-based one (Xiao, Guo, & Mao, 2014). On the other hand, the applications of GM(1, 1) are also enormous, such as accurate reliability prediction (Li, Masuda, Yamaguchi, & Nagai, 2010), fashion color forecasting (Yu, Hui, & Choi, 2012), hyperspectral feature extraction (Yin, Gao, & Jia, 2013), and end effects mitigation in our previous works .…”
Section: Introductionmentioning
confidence: 99%