First-Order ARMA Type Fuzzy Time Series Method Based on Fuzzy Logic Relation Tables

Table 3

The best results obtained for 7-observation test set of IMKB data.

Date	Test set	Song and Chissom [1]	Chen [5]	Chen [6]	Huarng [11] distribution-based method	Huarng [11] average-based method	Huarng and Yu [13] rational-based method	Aladag et al. [8]	Proposed method*
15.12.2010	65499	65356	66550	65900.0	67400	66500	66784.7	67300	66266.7
16.12.2010	64429	65356	66250	65900.0	65400	66300	66178.0	64900	63700.0
17.12.2010	63524	65975	64450	64800.0	65900	64500	65878.7	64900	63700.0
20.12.2010	63502	64737	63550	64066.7	64900	63500	63514.3	64300	63700.0
21.12.2010	64820	64737	63550	63700.0	64900	63500	63514.3	63700	65900.0
22.12.2010	65440	65975	65800	64800.0	65900	65500	65878.7	65500	65900.0
23.12.2010	66219	65356	66250	65900.0	65400	66300	66178.0	66700	66266.7
	RMSE	1161.91	1001.70	928.70	1365.14	1014.73	1317.77	1034.06	606.07
	MAPE	0.01387	0.01217	0.01283	0.01773	0.01175	0.01593	0.01350	0.00762
	DA	0.50000	0.50000	0.33333	0.50000	0.50000	0.66667	0.66667	0.83333

∗The best situation.