Advances in Civil Engineering

Research Article

Detection and Prediction of Internal Damage in the Ancient Timber Structure Based on Optimal Combined Model

Table 3

Results of each combined forecasting model.


Working condition	IOWA			IOWGA			IOWHA			Entropy			Shapley
Working condition	S₁	e₁	(%)	S₂	e₂	(%)	S₃	e₃	(%)	S₄	e₄	(%)	S₅	e₅	(%)

1	26.32	0.19	99.3	26.09	0.04	99.9	26.09	0.04	99.9	28.41	2.28	91.3	23.31	2.82	89.2
2	52.42	0.15	99.7	52.29	0.02	99.9	52.53	0.26	99.5	55.90	3.63	93.1	47.41	4.86	90.7
3	104.31	0.23	99.8	104.81	0.27	99.7	105.75	1.21	98.8	108.20	3.66	96.5	98.70	5.84	94.4

4	5.99	6.21	49.1	7.47	4.73	61.2	7.47	4.73	61.2	6.17	6.03	50.6	5.90	6.30	48.4
5	17.02	7.38	69.8	18.02	6.38	73.9	18.02	6.38	73.9	17.14	7.26	70.3	16.96	7.44	69.5
6	47.41	1.39	97.2	39.49	9.31	80.9	39.49	9.31	80.9	46.42	2.38	95.1	47.87	0.93	98.1
7	96.90	0.70	99.3	88.08	9.51	90.3	88.08	9.51	90.3	95.79	1.80	98.2	97.41	0.18	99.8
8	195.11	0.07	99.9	202.98	7.80	96.0	202.98	7.80	96.0	190.92	4.26	97.8	192.36	2.82	98.6

9	28.07	1.06	96.4	28.17	0.96	96.7	28.17	0.96	96.7	25.75	3.38	88.4	23.22	5.91	79.7
10	55.87	2.39	95.9	55.97	2.29	96.1	55.97	2.29	96.1	53.73	4.53	92.2	51.39	6.87	88.2
11	104.18	12.34	89.4	104.20	12.32	89.4	104.20	12.32	89.4	103.67	12.85	89.0	103.12	13.40	88.5
12	225.63	7.41	96.8	225.68	7.36	96.8	225.68	7.36	96.8	221.03	12.01	94.8	222.23	10.81	95.4
13	471.38	5.29	98.9	471.57	5.48	98.8	471.57	5.48	98.8	454.00	12.09	97.4	458.54	7.55	98.4

14	11.41	1.48	88.5	11.93	0.96	92.6	11.93	0.96	92.6	11.38	1.51	88.3	8.54	4.35	66.3
15	21.90	3.87	85.0	22.68	3.09	88.0	22.68	3.09	88.0	21.86	3.91	84.8	17.58	8.19	68.2
16	45.98	5.57	89.2	46.83	4.72	90.8	46.83	4.72	90.8	45.94	5.61	89.1	41.28	10.27	80.1
17	105.93	2.83	97.3	107.24	4.14	96.0	107.24	4.14	96.0	88.95	14.15	86.3	96.12	6.98	93.2
18	209.21	3.02	98.5	210.81	4.62	97.8	210.81	4.62	97.8	188.45	17.74	91.4	197.22	8.97	95.6

Mean value		3.42	91.7		4.67	91.4		4.73	91.3		6.61	88.6		6.36	85.7

Note. S_i: forecasting value of different combined forecasting models, i = 1, 2, 3, 4, 5 (unit: cm²); e_i: absolute error of different combined forecasting models, i = 1, 2, 3, 4, 5 (unit: cm²); P_i: precision of different combined forecasting models, i = 1, 2, 3, 4, 5.