Mathematical Problems in Engineering

Research Article

High-Order Fuzzy Time Series Model Based on Generalized Fuzzy Logical Relationship

Table 1

Membership degrees of enrollment with respect to fuzzy sets.


Year	Value								Fuzzified

1971	13055	1.0000	0.2775	0	0	0	0	0	;
1972	13563	0.9685	0.5315	0.0315	0	0	0	0	;
1973	13867	0.8165	0.6835	0.1835	0	0	0	0	;
1974	14696	0.4020	0.9020	0.5980	0.0980	0	0	0	;
1975	15460	0.0200	0.5200	0.9800	0.4800	0	0	0	;
1976	15311	0.0945	0.5945	0.9055	0.4055	0	0	0	;
1977	15603	0	0.4485	0.9485	0.5515	0.0515	0	0	;
1978	15861	0	0.3195	0.8195	0.6805	0.1805	0	0	;
1979	16807	0	0	0.3465	0.8465	0.6535	0.1535	0	;
1980	16919	0	0	0.2905	0.7905	0.7095	0.2095	0	;
1981	16388	0	0.0560	0.5560	0.9440	0.4440	0	0	;
1982	15433	0.0335	0.5335	0.9665	0.4665	0	0	0	;
1983	15497	0.0015	0.5015	0.9985	0.4985	0	0	0	;
1984	15145	0.1775	0.6775	0.8225	0.3225	0	0	0	;
1985	15163	0.1685	0.6685	0.8315	0.3315	0	0	0	;
1986	15984	0	0.2580	0.7580	0.7420	0.2420	0	0	;
1987	16859	0	0	0.3205	0.8205	0.6795	0.1795	0	;
1988	18150	0	0	0	0.1750	0.6750	0.8250	0.3250	;
1989	18970	0	0	0	0	0.2650	0.7650	0.7350	;
1990	19328	0	0	0	0	0.0860	0.5860	0.9140	;
1991	19337	0	0	0	0	0.0815	0.5815	0.9185	;
1992	18876	0	0	0	0	0.3120	0.8120	0.6880	;