Intuitionistic Fuzzy Time Series Forecasting Model Based on Intuitionistic Fuzzy Reasoning

Table 1

The fuzzy similarity matrix .

	1971	1972	1973	1974	1975	1976	1977	1978	1979	1980	1981	1982	1983	1984	1985	1986	1987	1988	1989	1990	1991
1971	1.000	0.919	0.871	0.739	0.617	0.641	0.594	0.553	0.403	0.385	0.469	0.622	0.611	0.667	0.664	0.534	0.395	0.189	0.058	0.001	0.000
1972	0.919	1.000	0.952	0.820	0.698	0.722	0.675	0.634	0.484	0.466	0.550	0.702	0.692	0.748	0.745	0.615	0.475	0.270	0.139	0.082	0.081
1973	0.871	0.952	1.000	0.868	0.746	0.770	0.724	0.683	0.532	0.514	0.599	0.751	0.741	0.797	0.794	0.663	0.524	0.318	0.188	0.131	0.129
1974	0.739	0.820	0.868	1.000	0.878	0.902	0.856	0.815	0.664	0.646	0.731	0.883	0.873	0.929	0.926	0.795	0.656	0.450	0.320	0.263	0.261
1975	0.617	0.698	0.746	0.878	1.000	0.976	0.977	0.936	0.786	0.768	0.852	0.996	0.994	0.950	0.953	0.917	0.777	0.572	0.441	0.384	0.383
1976	0.641	0.722	0.770	0.902	0.976	1.000	0.954	0.912	0.762	0.744	0.829	0.981	0.970	0.974	0.976	0.893	0.754	0.548	0.418	0.361	0.359
1977	0.594	0.675	0.724	0.856	0.977	0.953	1.000	0.959	0.808	0.791	0.875	0.973	0.983	0.927	0.930	0.939	0.800	0.595	0.464	0.407	0.406
1978	0.553	0.634	0.683	0.815	0.936	0.912	0.959	1.000	0.849	0.832	0.916	0.932	0.942	0.886	0.889	0.980	0.841	0.636	0.505	0.448	0.447
1979	0.403	0.484	0.532	0.664	0.786	0.762	0.808	0.849	1.000	0.982	0.933	0.781	0.791	0.735	0.738	0.869	0.992	0.786	0.656	0.599	0.597
1980	0.385	0.466	0.514	0.646	0.768	0.744	0.791	0.832	0.982	1.000	0.916	0.763	0.774	0.718	0.721	0.851	0.990	0.804	0.673	0.616	0.615
1981	0.469	0.550	0.599	0.731	0.852	0.829	0.875	0.916	0.933	0.915	1.000	0.848	0.858	0.802	0.805	0.936	0.925	0.720	0.589	0.532	0.531
1982	0.621	0.702	0.751	0.883	0.996	0.981	0.973	0.932	0.781	0.763	0.848	1.000	0.990	0.954	0.957	0.912	0.773	0.568	0.437	0.380	0.379
1983	0.611	0.692	0.741	0.872	0.994	0.970	0.983	0.942	0.791	0.774	0.858	0.990	1.000	0.944	0.947	0.922	0.783	0.578	0.447	0.390	0.389
1984	0.667	0.748	0.797	0.929	0.950	0.974	0.927	0.886	0.735	0.718	0.802	0.954	0.944	1.000	0.997	0.866	0.727	0.522	0.391	0.334	0.333
1985	0.664	0.745	0.794	0.926	0.953	0.976	0.930	0.889	0.738	0.720	0.805	0.957	0.947	0.997	1.000	0.869	0.730	0.525	0.394	0.337	0.336
1986	0.534	0.615	0.663	0.795	0.917	0.893	0.939	0.980	0.869	0.851	0.936	0.912	0.922	0.866	0.869	1.000	0.861	0.655	0.525	0.468	0.466
1987	0.394	0.475	0.524	0.656	0.777	0.754	0.800	0.841	0.992	0.990	0.925	0.773	0.783	0.727	0.730	0.861	1.000	0.795	0.664	0.607	0.606
1988	0.189	0.270	0.318	0.450	0.572	0.548	0.595	0.636	0.786	0.804	0.720	0.567	0.578	0.522	0.525	0.655	0.794	1.000	0.869	0.812	0.811
1989	0.058	0.139	0.188	0.320	0.441	0.418	0.464	0.505	0.656	0.674	0.589	0.437	0.447	0.391	0.394	0.525	0.664	0.869	1.000	0.943	0.942
1990	0.001	0.082	0.131	0.263	0.384	0.361	0.407	0.448	0.599	0.617	0.532	0.380	0.390	0.334	0.337	0.468	0.607	0.812	0.943	1.000	0.999
1991	0.000	0.081	0.129	0.261	0.383	0.359	0.406	0.447	0.597	0.615	0.531	0.379	0.389	0.333	0.336	0.466	0.606	0.811	0.942	0.999	1.000