An ARMA Type Fuzzy Time Series Forecasting Method Based on Particle Swarm Optimization

Table 4

The memberships of the observations obtained from FCM algorithm in Step 1.

Years	Cluster 1	Cluster 2	Cluster 3	Cluster 4	Cluster 5	Cluster 6	Cluster 7
1971	0.8768	0.0528	0.0265	0.0176	0.0127	0.0097	0.0039
1972	0.9839	0.0083	0.0032	0.0019	0.0013	0.0010	0.0004
1973	0.7128	0.1709	0.0519	0.0286	0.0183	0.0130	0.0044
1974	0.0000	0.9999	0.0000	0.0000	0.0000	0.0000	0.0000
1975	0.0015	0.0107	0.9463	0.0312	0.0068	0.0030	0.0005
1976	0.0013	0.0121	0.9679	0.0128	0.0037	0.0018	0.0003
1977	0.0063	0.0354	0.5767	0.3178	0.0440	0.0174	0.0024
1978	0.0003	0.0014	0.0079	0.9824	0.0060	0.0017	0.0002
1979	0.0006	0.0014	0.0031	0.0078	0.0410	0.9448	0.0012
1980	0.0001	0.0002	0.0004	0.0009	0.0035	0.9948	0.0002
1981	0.0001	0.0002	0.0006	0.0026	0.9939	0.0025	0.0001
1982	0.0007	0.0052	0.9769	0.0127	0.0029	0.0013	0.0002
1983	0.0029	0.0193	0.8823	0.0737	0.0146	0.0063	0.0010
1984	0.0133	0.1919	0.6905	0.0658	0.0236	0.0125	0.0025
1985	0.0118	0.1599	0.7306	0.0622	0.0219	0.0115	0.0022
1986	0.0009	0.0036	0.0163	0.9388	0.0324	0.0073	0.0006
1987	0.0001	0.0002	0.0004	0.0010	0.0045	0.9936	0.0002
1988	0.0176	0.0325	0.0504	0.0767	0.1281	0.2432	0.4516
1989	0.0004	0.0006	0.0009	0.0012	0.0017	0.0025	0.9928
1990	0.0018	0.0029	0.0040	0.0053	0.0073	0.0104	0.9684
1991	0.0019	0.0031	0.0042	0.0056	0.0077	0.0110	0.9664
1992	0.0013	0.0022	0.0032	0.0044	0.0064	0.0098	0.9728