Research Article
A Novel Weighted Fractional GM(1,1) Model and Its Applications
Table 7
Fitted and predicted values of China’s total output value of construction industry (Example 4).
| Year | k | Actual values | GM(1,1) | FGM(1,1) | NIPGM(1,1) | WFGM(1,1) | | | | | | | | | |
| 2009 | 1 | 76807.70 | 76807.70 | 0.00 | 76807.70 | 0.00 | 76807.70 | 0.00 | 76807.70 | 0.00 | 2010 | 2 | 96031.10 | 99920.93 | 4.05 | 96031.28 | 0.00 | 96030.98 | 0.00 | 96031.21 | 0.00 | 2011 | 3 | 116463.30 | 115815.32 | 0.56 | 117392.32 | 0.80 | 117091.24 | 0.54 | 117352.95 | 0.76 | 2012 | 4 | 137217.86 | 134238.02 | 2.17 | 138102.74 | 0.64 | 137746.77 | 0.39 | 138112.61 | 0.65 | 2013 | 5 | 160366.06 | 155591.22 | 2.98 | 157967.27 | 1.50 | 158005.36 | 1.47 | 157985.41 | 1.48 | 2014 | 6 | 176713.40 | 180341.07 | 2.05 | 177039.71 | 0.18 | 177874.64 | 0.66 | 176929.72 | 0.12 | MAPE | | | 1.97 | | 0.52 | | 0.51 | | 0.50 | 2015 | 7 | 180757.47 | 209027.86 | 15.64 | 195402.49 | 8.10 | 197362.09 | 9.19 | 194964.79 | 7.86 | 2016 | 8 | 193566.78 | 242277.86 | 25.16 | 213131.48 | 10.11 | 216475.04 | 11.83 | 212125.83 | 9.59 | 2017 | 9 | 213943.56 | 280816.92 | 31.26 | 230290.99 | 7.64 | 235220.70 | 9.95 | 228451.99 | 6.78 | 2018 | 10 | 235085.53 | 325486.37 | 38.45 | 246934.64 | 5.04 | 253606.11 | 7.88 | 243982.59 | 3.78 | MAPE | | | 27.63 | | 7.72 | | 9.71 | | 7.00 |
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