Table 6 The MS 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 | 1.79 × 10–02 | 9.99 × 10–02 | 1.47 × 10+00 | 9.85 × 10–02 | 5.39 × 10–01 | 1.57 × 10+00 | 3.97 × 10–01 |
Std | 5.03 × 10–02 | 4.14 × 10–02 | 5.70 × 10–02 | 6.44 × 10–02 | 4.86 × 10–02 | 1.45 × 10–01 | 3.87 × 10–02 | |
 ZDT2 | Mean | 6.46 × 10–01 | 4.21 × 10–01 | 1.45 × 10+00 | 4.21 × 10–01 | 6.03 × 10–01 | 1.67 × 10+00 | 4.14 × 10–01 |
Std | 4.61 × 10–02 | 4.70 × 10–02 | 7.96 × 10–02 | 2.19 × 10–02 | 2.29 × 10–02 | 7.51 × 10–02 | 3.95 × 10–02 | |
 ZDT3 | Mean | 3.38 × 10–01 | 4.15 × 10–01 | 1.25 × 10+00 | 4.16 × 10–01 | 5.80 × 10–01 | 1.66 × 10+00 | 3.92 × 10–01 |
Std | 1.20 × 10–01 | 5.50 × 10–02 | 8.26 × 10–02 | 4.16 × 10–02 | 4.79 × 10–02 | 1.15 × 10–01 | 4.53 × 10–02 | |
 ZDT4 | Mean | 7.28 × 10–01 | – | 1.47 × 10+00 | 9.84 × 10–01 | 5.91 × 10–01 | – | 4.06 × 10–01 |
Std | 3.98 × 10–02 | – | 6.67 × 10–02 | 4.78 × 10–02 | 3.87 × 10–02 | – | 3.59 × 10–02 | |
 ZDT6 | Mean | 4.55 × 10–01 | 4.09 × 10–01 | 1.26 × 10+00 | 4.82 × 10–01 | 9.74 × 10–01 | 1.56 × 10+00 | 3.99 × 10–01 |
Std | 4.56 × 10–02 | 1.50 × 10–01 | 1.50 × 10–01 | 1.15 × 10–01 | 7.15 × 10–01 | 3.77 × 10–01 | 4.58 × 10–02 | |
Three-objective test function | ||||||||
 DTLZ2 | Mean | 6.25 × 10–01 | 5.77 × 10–02 | 9.86 × 10–01 | 5.72 × 10–02 | 4.27 × 10–01 | 5.89 × 10–01 | 6.24 × 10–02 |
Std | 3.27 × 10–02 | 4.33 × 10–02 | 1.50 × 10–01 | 3.86 × 10–02 | 3.54 × 10–02 | 5.60 × 10–02 | 3.22 × 10–02 | |
 DTLZ4 | Mean | 2.29 × 10–01 | 5.68 × 10–02 | 1.24 × 10+00 | 5.72 × 10–02 | 6.73 × 10–01 | 1.41 × 10+00 | 2.37 × 10–02 |
Std | 1.06 × 10–01 | 8.29 × 10–02 | 1.37 × 10–01 | 1.32 × 10–01 | 6.71 × 10–02 | 9.25 × 10–02 | 4.75 × 10–02 | |
 DTLZ5 | Mean | 8.30 × 10–01 | 5.65 × 10–01 | 1.32 × 10+00 | 4.57 × 10–01 | 7.05 × 10–01 | 1.24 × 10+00 | 4.07 × 10–01 |
Std | 5.56 × 10–02 | 5.68 × 10–02 | 1.10 × 10–01 | 5.31 × 10–02 | 6.24 × 10–02 | 1.14 × 10–01 | 4.52 × 10–02 | |
 DTLZ6 | Mean | 8.45 × 10–01 | 7.43 × 10–01 | – | 8.60 × 10–01 | 5.01 × 10–01 | 1.72 × 10+00 | 4.45 × 10–01 |
Std | 1.64 × 10–02 | 1.84 × 10–02 | – | 9.93 × 10–02 | 1.26 × 10–02 | 1.38 × 10–01 | 1.16 × 10–02 | |
 DTLZ7 | Mean | 5.91 × 10–01 | 7.06 × 10–01 | 1.19 × 10+00 | 8.13 × 10–01 | 5.01 × 10–01 | 7.87 × 10–01 | 9.08 × 10–02 |
Std | 5.78 × 10–02 | 1.94 × 10–01 | 4.07 × 10–02 | 1.51 × 10–01 | 4.29 × 10–02 | 1.09 × 10–01 | 4.55 × 10–02 | |
 WFG4 | Mean | 1.26 × 10–01 | 2.15 × 10–01 | 5.89 × 10–01 | 2.75 × 10–01 | 4.19 × 10–01 | 5.16 × 10–01 | 8.07 × 10–02 |
Std | 3.15 × 10–02 | 2.85 × 10–02 | 3.53 × 10–02 | 3.04 × 10–02 | 2.68 × 10–02 | 3.32 × 10–02 | 2.25 × 10–02 | |
 WFG5 | Mean | 1.67 × 10–01 | 2.15 × 10–01 | 5.76 × 10–01 | 3.74 × 10–01 | 3.88 × 10–01 | 5.87 × 10–01 | 4.15 × 10–01 |
Std | 7.37 × 10–02 | 8.45 × 10–02 | 1.69 × 10–02 | 5.37 × 10–02 | 2.31 × 10–02 | 3.64 × 10–02 | 2.76 × 10–02 | |
 WFG6 | Mean | 4.48 × 10–01 | 5.15 × 10–01 | 7.87 × 10–01 | 5.74 × 10–01 | 4.23 × 10–01 | 5.95 × 10–01 | 3.82 × 10–01 |
Std | 1.53 × 10–01 | 3.67 × 10–02 | 7.57 × 10–02 | 1.42 × 10–01 | 3.29 × 10–02 | 4.62 × 10–02 | 2.58 × 10–02 | |
 WFG7 | Mean | 4.61 × 10–01 | 5.15 × 10–01 | 5.63 × 10–01 | 4.74 × 10–01 | 4.49 × 10–01 | 4.91 × 10–01 | 3.76 × 10–01 |
Std | 4.11 × 10–02 | 1.40 × 10–02 | 4.28 × 10–02 | 5.38 × 10–02 | 3.21 × 10–02 | 2.20 × 10–01 | 3.19 × 10–02 | |
 WFG8 | Mean | 8.32 × 10–01 | 1.20 × 10+00 | 7.74 × 10–01 | 6.81 × 10–01 | 4.87 × 10–01 | 4.72 × 10–01 | 4.21 × 10–01 |
Std | 1.93 × 10–01 | 8.27 × 10–02 | 1.19 × 10–01 | 2.35 × 10–01 | 3.76 × 10–01 | 2.68 × 10–01 | 2.16 × 10–01 | |
