Table 9 The success rate of the five algorithms on the DTLZ test suite with different numbers of objectives (/%).
From: An improved farmland fertility algorithm for many-objective optimization problems
Text suite | M | Convergence accuracy | NSGA-III | MOEA/D | RVEA | ARMOEA | MOIFF |
|---|---|---|---|---|---|---|---|
DTLZ1 | 3 | e−3 | 0 | 0 | 0 | 0 | 70.00 |
5 | e−3 | 0 | 0 | 0 | 0 | 76.67 | |
8 | e−2 | 86.67 | 100 | 100 | 96.67 | 100 | |
10 | e−2 | 0 | 0 | 0 | 0 | 86.67 | |
15 | e−2 | 100 | 100 | 100 | 100 | 100 | |
DTLZ2 | 3 | e−2 | 100 | 100 | 100 | 100 | 100 |
5 | e−2 | 0 | 0 | 0 | 0 | 100 | |
8 | e−2 | 0 | 0 | 0 | 0 | 93.33 | |
10 | e−2 | 0 | 0 | 0 | 0 | 10.00 | |
15 | e−2 | 0 | 0 | 0 | 0 | 63.33 | |
DTLZ3 | 3 | e−3 | 0 | 0 | 0 | 0 | 6.67 |
5 | e−2 | 0 | 0 | 0 | 0 | 73.33 | |
8 | e−2 | 0 | 0 | 0 | 0 | 20.00 | |
10 | e−2 | 0 | 0 | 0 | 0 | 43.33 | |
15 | e−1 | 0 | 46.67 | 100 | 100 | 100 | |
DTLZ4 | 3 | e−3 | 0 | 0 | 0 | 0 | 46.67 |
5 | e−2 | 0 | 0 | 0 | 0 | 76.67 | |
8 | e−2 | 0 | 0 | 0 | 0 | 36.67 | |
10 | e−2 | 0 | 0 | 0 | 0 | 70.00 | |
15 | e−2 | 0 | 0 | 0 | 0 | 6.67 | |
DTLZ5 | 3 | e−3 | 6.67 | 0 | 0 | 100 | 6.67 |
5 | e−2 | 73.33 | 100 | 0 | 100 | 80.00 | |
8 | e−2 | 0 | 100 | 0 | 46.67 | 13.33 | |
10 | e−2 | 0 | 100 | 0 | 53.55 | 10.00 | |
15 | e−2 | 0 | 100 | 0 | 33.33 | 3.33 | |
DTLZ6 | 3 | e−3 | 0 | 0 | 0 | 100 | 0 |
5 | e−2 | 23.33 | 100 | 0 | 86.67 | 93.33 | |
8 | e−2 | 0 | 100 | 0 | 50.00 | 0 | |
10 | e−2 | 0 | 100 | 0 | 53.33 | 0 | |
15 | e−2 | 0 | 100 | 0 | 50.00 | 0 | |
DTLZ7 | 3 | e−2 | 93.33 | 0 | 0 | 36.67 | 13.33 |
5 | e−1 | 100 | 100 | 100 | 100 | 100 | |
8 | e−1 | 100 | 0 | 0 | 50.00 | 43.33 | |
10 | e−1 | 66.67 | 0 | 0 | 30.00 | 0 | |
15 | e + 0 | 100 | 100 | 100 | 100 | 100 |