Abstract
For the small sample poor information, grey model is one of the good forecasting models. However, the simulation curve of original data is not consistent with that of the data by translations. In this paper, we present two novel grey system models, that is, generalized grey model and generalized discrete grey model. Compared with grey model, we prove that the simulation curve of original data is consistent with that of the new data by translations for the novel grey model, which was also demonstrated by the results of practical numerical examples.
Highlights
There are many uncertain problems in our lives
In order to ensure that the simulation curve of original data is consistent with that of the Journal of Control Science and Engineering data by translations, we propose generalized grey system (GGM(1, 1)) and generalized discrete grey system (GDGM(1, 1))
We prove that the simulation curve of original data is consistent with that of the data by translations for the novel grey model
Summary
There are many uncertain problems in our lives. In order to analyze deeply these problems, grey model (GM(1, 1)) was proposed by Deng [1]. Different reference point has different simulation data of GM(1, 1) This will reduce the reliability and consistency. In order to ensure that the simulation curve of original data is consistent with that of the Journal of Control Science and Engineering data by translations, we propose generalized grey system (GGM(1, 1)) and generalized discrete grey system (GDGM(1, 1)). We prove that the simulation curve of original data is consistent with that of the data by translations for the novel grey model. Example on landslide has further demonstrated that the simulation effects of two novel grey models have no relation with reference point. In the last section we give the conclusions of this paper
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