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| 1 | Research on evaluations of several grey relational models adapt to grey relational axioms显示文摘Grey relational analysis is an important part of the grey systems theory, and it is the basis of the grey clustering analysis, grey decision-making and grey controlling. To research whether grey relational models satisfy the four grey relational theorems, several kinds of grey relational models are commented. Some problems including the properties of normality, pair symmetry and wholeness are discussed. The phenomenon that the lower value of almost each grey relational model is not equal to zero is proved. The contradiction problems between the properties of wholeness and pair symmetry are verified. Finally, several propositions are constructed to explain the above problems. | Xie Naiming Liu Sifeng | 2009 | Journal of Systems Engineering and Electronics2009，20，2： | 34 |
| 2 | Prediction model of interval grey number based on DGM(1,1)显示文摘In grey system theory,the studies in the field of grey prediction model are focused on real number sequences,rather than grey number ones.Hereby,a prediction model based on interval grey number sequences is proposed.By mining the geometric features of interval grey number sequences on a two-dimensional surface,all the interval grey numbers are converted into real numbers by means of certain algorithm,and then the prediction model is established based on those real number sequences.The entire process avoids the algebraic operations of grey number,and the prediction problem of interval grey number is usefully solved.Ultimately,through an example's program simulation,the validity and practicability of this novel model are verified. | Bo Zeng Sifeng Liu Naiming Xie | 2010 | Journal of Systems Engineering and Electronics2010，21，4： | 19 |
| 3 | Interval grey number sequence prediction by using non-homogenous exponential discrete grey forecasting model显示文摘This paper aims to study a new grey prediction approach and its solution for forecasting the main system variable whose accurate value could not be collected while the potential value set could be defined. Based on the traditional nonhomogenous discrete grey forecasting model(NDGM), the interval grey number and its algebra operations are redefined and combined with the NDGM model to construct a new interval grey number sequence prediction approach. The solving principle of the model is analyzed, the new accuracy evaluation indices, i.e. mean absolute percentage error of mean value sequence(MAPEM) and mean percent of interval sequence simulating value set covered(MPSVSC), are defined and, the procedure of the interval grey number sequence based the NDGM(IG-NDGM) is given out. Finally, a numerical case is used to test the modelling accuracy of the proposed model. Results show that the proposed approach could solve the interval grey number sequence prediction problem and it is much better than the traditional DGM(1,1) model and GM(1,1) model. | Naiming Xie Sifeng Liu | 2015 | Journal of Systems Engineering and Electronics2015，26，1： | 18 |
| 4 | On novel grey forecasting model based on non-homogeneous index sequence显示文摘 | Xie Naiming Liu Sifeng Yang Yingjie | 2013 | Applied Mathematical Modeling2013，37，7： | 1 |
| 5 | Novel models of grey relational analysis based on visual angle of similarity and nearness 显示文摘 | Liu Sifeng Xie Naiming Forrest Jeffery | 2011 | Grey Systems: Theory and Application2011，1，1： | 1 |
| 6 | Discrete grey forecasting model and its optimization显示文摘 | Xie Naiming Liu Sifeng | 2009 | Applied Mathematical Modelling2009，33，2： | 1 |
| 7 | The relation between Chinese economic development and energy consumption in the different periods显示文摘 | Chaoqing Yuan Sifeng Liu Zhigeng Fang Naiming Xie | | 0，，38： | 1 |
| 8 | A summary on the research of GRA models显示文摘 | Sifeng Liu Yingjie Yang Ying Cao Naiming Xie | 2013 | Grey Systems: Theory and Application2013，，1： | 1 |
| 9 | Discrete grey forecasting model and its optimization显示文摘 | Xie Naiming Liu Sifeng | 2009 | Applied Mathematical Modeling2009，33，2： | 1 |
| 10 | China's regional meteorological disaster loss analysis and evaluation based on grey cluster model 显示文摘 | Xie Naiming Xin Jianghui Liu Sifeng | 2014 | Natural Hazards2014，71，2： | 1 |
| 11 | A novel grey relational model based on grey number sequences显示文摘 | Naiming Xie Sifeng Liu | 2011 | Grey Systems:Theory and Application2011，1，2： | 1 |
| 12 | On the Properties of SmallSample of GM(1,1)Model显示文摘 | Yao Tianxiang Liu Sifeng Xie Naiming | 2009 | Applied Mathematical Modelling2009，33，4： | 1 |
| 13 | On the properties of small sample of GM ( 1, 1) model显示文摘 | Yao Tianxiang Liu Sifeng Xie Naiming | 2009 | Applied Mathematical Modelling2009，33，4： | 1 |
| 14 | Research on the multiple and parallel Properties of Several Grey Relational Models 显示文摘 | Xie Naiming Liu Sifeng | 2007 | International Conference on Grey Systems and Intelligence Service2007，，： | 1 |
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