Table 5 The SP values obtained by all algorithms.
From: NSCSO: a novel multi-objective non-dominated sorting chicken swarm optimization algorithm
Problem | Â | LMEA | WOF | MOSMA | DGEA | MOAHA | MOSPO | NSCSO |
|---|---|---|---|---|---|---|---|---|
Bi-objective test function | ||||||||
 ZDT1 | Mean | 5.28 × 10–01 | 2.89 × 10–01 | 1.04 × 10–02 | 2.89 × 10–01 | 3.06 × 10–02 | 1.04 × 10–02 | 6.95 × 10–03 |
Std | 3.18 × 10–04 | 1.03 × 10–03 | 9.44 × 10–04 | 4.02 × 10–04 | 2.98 × 10–04 | 1.26 × 10–03 | 4.98 × 10–04 | |
 ZDT2 | Mean | 2.46 × 10–01 | 1.41 × 10–01 | 9.92 × 10–03 | 1.41 × 10–01 | 9.30 × 10–03 | 9.01 × 10–02 | 7.31 × 10–03 |
Std | 7.62 × 10–03 | 6.08 × 10–04 | 1.00 × 10–03 | 4.71 × 10–03 | 8.80 × 10–04 | 1.58 × 10–03 | 5.98 × 10–04 | |
 ZDT3 | Mean | 3.10 × 10–01 | 8.49 × 10–01 | 2.21 × 10–04 | 5.29 × 10–01 | 4.06 × 10–03 | 1.02 × 10–02 | 1.77 × 10–04 |
Std | 1.18 × 10–05 | 1.07 × 10–04 | 1.26 × 10–05 | 1.61 × 10–04 | 3.88 × 10–04 | 1.36 × 10–03 | 1.44 × 10–05 | |
 ZDT4 | Mean | 4.64 × 10–01 | – | 9.91 × 10–03 | 2.89 × 10–01 | 3.32 × 10–03 | – | 1.96 × 10–04 |
Std | 5.81 × 10–05 | – | 4.69 × 10–04 | 6.55 × 10–05 | 1.48 × 10–04 | – | 4.71 × 10–05 | |
 ZDT6 | Mean | 2.34 × 10–01 | 1.03 × 10–01 | 2.27 × 10–02 | 1.37 × 10–01 | 2.47 × 10–02 | 6.42 × 10–03 | 5.93 × 10–03 |
Std | 1.38 × 10–03 | 1.92 × 10–03 | 2.56 × 10–02 | 1.96 × 10–03 | 2.52 × 10–01 | 2.93 × 10–03 | 5.83 × 10–04 | |
Three-objective test function | ||||||||
 DTLZ2 | Mean | 8.47 × 10–02 | 1.73 × 10–01 | 2.90 × 10–01 | 1.73 × 10–01 | 6.34 × 10–02 | 7.99 × 10–02 | 2.65 × 10–03 |
Std | 4.21 × 10–04 | 1.08 × 10–04 | 5.73 × 10–02 | 9.07 × 10–05 | 5.58 × 10–03 | 8.38 × 10–03 | 6.93 × 10–05 | |
 DTLZ4 | Mean | 1.18 × 10–01 | 1.77 × 10–01 | 3.33 × 10–01 | 1.77 × 10–01 | 7.41 × 10–02 | 5.11 × 10–02 | 1.82 × 10–02 |
Std | 5.07 × 10–03 | 7.62 × 10–03 | 1.48 × 10–01 | 5.74 × 10–03 | 6.07 × 10–03 | 1.56 × 10–02 | 2.17 × 10–03 | |
 DTLZ5 | Mean | 2.89 × 10–01 | 8.80 × 10–01 | 2.73 × 10–01 | 6.09 × 10–01 | 8.96 × 10–03 | 3.20 × 10–02 | 8.45 × 10–03 |
Std | 1.68 × 10–03 | 4.92 × 10–04 | 5.02 × 10–02 | 5.12 × 10–03 | 1.17 × 10–03 | 6.71 × 10–03 | 8.07 × 10–04 | |
 DTLZ6 | Mean | 3.09 × 10–01 | 1.28 × 10+00 | – | 6.82 × 10–01 | 3.93 × 10–03 | 2.27 × 10–02 | 8.90 × 10–03 |
Std | 7.34 × 10–03 | 1.90 × 10–03 | – | 1.08 × 10–03 | 6.16 × 10–04 | 4.22 × 10–02 | 7.69 × 10–04 | |
 DTLZ7 | Mean | 3.11 × 10–01 | 5.43 × 10–01 | 3.41 × 10–02 | 3.42 × 10–01 | 7.77 × 10–02 | 9.09 × 10–02 | 3.32 × 10–02 |
Std | 4.83 × 10–03 | 1.49 × 10–02 | 6.13 × 10–03 | 2.20 × 10–02 | 7.21 × 10–03 | 7.79 × 10–03 | 2.14 × 10–03 | |
 WFG4 | Mean | 3.67 × 10–01 | 2.86 × 10–01 | 2.91 × 10–01 | 2.97 × 10–01 | 2.47 × 10–01 | 2.39 × 10–01 | 2.15 × 10–01 |
Std | 6.15 × 10–02 | 3.73 × 10–02 | 2.24 × 10–02 | 1.80 × 10–03 | 2.17 × 10–02 | 2.60 × 10–02 | 1.92 × 10–02 | |
 WFG5 | Mean | 2.35 × 10–01 | 2.90 × 10–01 | 3.27 × 10–01 | 3.01 × 10–01 | 1.85 × 10–01 | 4.40 × 10–02 | 1.98 × 10–02 |
Std | 1.86 × 10–03 | 1.58 × 10–03 | 3.47 × 10–02 | 1.86 × 10–03 | 3.12 × 10–03 | 3.93 × 10–03 | 1.74 × 10–03 | |
 WFG6 | Mean | 2.25 × 10–01 | 2.92 × 10–01 | 2.72 × 10–01 | 3.02 × 10–01 | 2.48 × 10–01 | 2.78 × 10–01 | 2.07 × 10–01 |
Std | 5.37 × 10–03 | 3.28 × 10–03 | 5.55 × 10–02 | 1.87 × 10–03 | 1.95 × 10–02 | 1.68 × 10–02 | 1.63 × 10–03 | |
 WFG7 | Mean | 2.12 × 10–01 | 2.86 × 10–01 | 2.61 × 10–01 | 2.96 × 10–01 | 2.43 × 10–01 | 2.38 × 10–01 | 2.07 × 10–01 |
Std | 1.84 × 10–02 | 1.64 × 10–02 | 2.01 × 10–02 | 1.47 × 10–02 | 1.64 × 10–02 | 2.06 × 10–02 | 1.02 × 10–02 | |
 WFG8 | Mean | 2.93 × 10–01 | 2.95 × 10–01 | 3.97 × 10–01 | 3.30 × 10–01 | 2.32 × 10–01 | 2.54 × 10–01 | 2.17 × 10–01 |
Std | 4.15 × 10–02 | 3.15 × 10–02 | 1.05 × 10–01 | 3.71 × 10–01 | 3.86 × 10–02 | 2.81 × 10–02 | 2.10 × 10–02 | |
