The complicacy of predictive modeling object gives rise to the diversity of form and mutual non-compatibility of structure of grey models. A grey common prediction modeling with powerful compatibility (CGPM) is established through putting the lagged item of dependent variable, corrective terms of linear and constant into grey model. The transformation conditions and equivalence properties between CGPM model and multivariable grey models which include GM(1, N) and GM(0, N) and single variable grey models including GM(1, 1), DGM(1, 1) and NDGM(1, 1) are proved in this paper. The effectiveness of CGPM model is verified by some calculation examples. The study findings have some positive significance for optimizing the structure of grey model and improving the commonality and universality of grey model.
ZENG Bo, LIU Si-feng, QU Xue-xin
. Researching on A Grey Common Prediction Modeling with Strong Compatibility and Its Properties[J]. Chinese Journal of Management Science, 2017
, 25(5)
: 150
-156
.
DOI: 10.16381/j.cnki.issn1003-207x.2017.05.018
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