A New Method for Short Multivariate Fuzzy Time Series Based on Genetic Algorithm and Fuzzy Clustering

Table 3

Actual and forecasted values of the Alabama University enrollments.

Year	Enrollment	Kuo et al. (2009) [15]	Egrioglu (2012) [5]	Forecasted enrollment
1971	13055	—	—	—
1972	13563	—	13481	—
1973	13867	14000	13481	—
1974	14696	14000	14242	—
1975	15460	15500	15710	—
1976	15311	15500	15485	15401
1977	15603	16000	15936	15451
1978	15861	16000	15936	15756
1979	16807	16000	16838	16729
1980	16919	17500	17500	17448
1981	16388	16000	17500	16632
1982	15433	16000	16737	15397
1983	15497	15500	15485	15407
1984	15145	16000	15485	15417
1985	15163	16000	15710	15416
1986	15984	16000	15710	15989
987	16859	16000	16838	16729
1988	18150	17500	17500	17448
1989	18970	18500	19144	19073
1990	19328	19500	19144	19092
1991	19337	19500	19144	19087
1992	18876	18500	19144	18964
MSE*	—	275539	265203	69492
MAPE*	—	2.65	2.24	1.16

∗To have a valid comparison, MSE and MAPE are calculated for the same period (1976–1992).
Source: the 3 inner columns are taken from [15].