Grey Forecast Model with Aging Fractional Accumulation and Its Properties

Table 5

Grey models with different grey accumulation operators.

		GM (1, 1)	AGM (1, 1)	DAGM (1, 1)	AGM1 (1, 1)	NGM (1, 1)	CFGM (1, 1)	FGM (1, 1)	FHGM (1, 1)
1	2399.26	2399.26	2399.26	2399.26	2399.26	2399.26	2399.26	2399.26	2399.26
2	2910.52	2989.36	2910.52	2989.36	2846.92	2910.52	2895.97	2906.43	2895.97
3	3126.62	3178.09	3192.14	3178.09	3197.53	3184.44	3202.81	3201.44	3202.81
4	3475.14	3378.73	3433.73	3378.73	3472.12	3427.27	3440.37	3436.21	3440.37
5	3750.96	3592.04	3645.29	3592.04	3687.18	3642.53	3644.95	3640.92	3644.95
6	3752.72	3818.81	3833.15	3818.81	3855.62	3833.37	3830.51	3828.03	3830.51
7	4004.02	4059.91	4001.66	4059.91	3987.53	4002.54	4004.02	4004.02	4004.02
MAPE		2.07	1.19	2.07	1.34	1.19	1.26	1.23	1.26
MAE		72.52	42.20	72.52	45.81	42.32	44.19	43.31	44.19
RMSE		85.28	58.12	85.28	58.56	58.43	59.18	59.66	59.18
8	3737.38	4316.22	4153.93	4316.22	4090.85	4152.51	4169.51	4172.66	4169.51
9	4263.98	4588.72	4292.30	4588.72	4171.77	4285.46	4329.50	4336.39	4329.51
MAPE		11.55	5.9	11.55	5.81	5.81	6.55	6.67	6.55
MAE		451.79	222.43	451.79	222.84	218.3	248.83	253.84	248.83
RMSE		469.31	295.23	469.31	258.31	293.93	309.05	312.02	309.05

Note. AGM₁ (1, 1) is the adjacent accumulation grey model. The smallest values of these model errors are in bold.