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Item 1
Item 2
0
0
1
23
9
4
9
3
6
1
2
2
6
Item 3
Item 4
6
11
5
9
0
0
2
1
2
4
1
4
1
Fig. 8. The initial membership functions of some four items
Item 1
Item 2
0
2.0
4.0 5.0
8.0
11.0
0
1.05
2.09 3.24 4.00
10.0 10.16
Item 3
Item 4
0
3.0
6.0
8.0
10.0 11.0
0
3.0
4.0
6.0
9.0
Fig. 9. The final membership functions of some four items after 500 generations
kinds of membership functions don't appear in the final results. The adopted
fitness function thus works.
The average fitness values of the chromosomes in population 1 along with
different numbers of generations are shown in Fig. 10. As expected, the curve
gradually goes upward, finally converging to a certain value. The other pop-
ulations have similar behavior.
 
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