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A Nonlinear Grey Bernoulli Model with Conformable Fractional-Order Accumulation and Its Application to the Gross Regional Product in the Cheng-Yu Area
Wenqing WU, Xin MA, Bo ZENG, Yuanyuan ZHANG
系统科学与信息学报(英文), 2024, 12(2): 245-273.   DOI: 10.21078/JSSI-2023-0119

Year Data GM$ (1, 1) $ CFGM$ (1, 1) $ NGBM$ (1, 1) $ CFNGBM$ (1, 1) $ CFNGBM$ (1, 1, \lambda) $
2013 507.51 507.5100 507.5100 507.5100 507.5100 507.5100
2014 537.09 538.7081 530.9667 528.8336 526.8612 526.6206
2015 572.76 582.5615 586.7672 585.8403 596.1857 594.6668
2016 643.84 629.9847 636.9127 636.1696 635.7901 634.3269
2017 688.54 681.2684 684.5869 683.9341 679.5462 678.5930
2018 728.63 736.7269 731.2724 730.8426 726.9286 726.5053
2019 777.80 796.6999 777.8000 777.8000 777.8000 777.8000
2020 807.50 861.5551 824.6961 825.3635 832.1741 832.4418
2021 890.50 931.6897 872.3266 873.9157 890.1395 890.4930
MAPE$ _{\rm simu} $(%) 1.2664 1.1197 1.1970 1.7569 1.7976
MAPE$ _{\rm pred} $(%) 4.5832 1.3901 1.3582 1.0320 1.0299
MAPE$ _{\rm total} $(%) 2.5102 1.2211 1.2574 1.4851 1.5097
Table 20 The results of the gross regional product of Ziyang by the GM$(1, 1)$, CFGM$(1, 1)$, NGBM$(1, 1)$, CFNGBM$(1, 1)$ and CFNGBM$(1, 1, \lambda)$ models
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