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. 2025 Apr 12;15:12690. doi: 10.1038/s41598-025-96901-y

Table 7.

Statistical test results of HV and p-values for WFG problems.

Problem M D MaOALO MaOPSO MaOSOS MaOMVO NSGA-III MaOMPA p-values
WFG1 5 14 2.6 2.2 2.8 4.8 2.6 6 0.0050
7 16 3.2 2 4.4 2.4 3 6 0.0084
WFG2 5 14 2.2 1 4.2 4.2 3.4 6 0.0006
7 16 3.4 1.2 3.2 3.8 3.4 6 0.0050
WFG3 5 14 4.8 1.2 2.6 4 3.2 5.2 0.0076
7 16 5.4 2.7 2.7 2.7 3.2 4.3 0.0108
WFG4 5 14 3 1.4 4 1.6 5 6 0.0002
7 16 3.6 1.8 3.8 1.6 4.2 6 0.0019
WFG5 5 14 3 1.2 4.2 1.8 5.2 5.6 0.0003
7 16 3 1.8 4.2 1.2 5 5.8 0.0003
WFG6 5 14 2.4 1 5 2.6 5.2 4.8 0.0006
7 16 3.4 1.2 4.6 1.8 4.2 5.8 0.0006
WFG7 5 14 3.6 2 3.6 1 4.8 6 0.0003
7 16 3.6 2 3.4 1 5 6 0.0002
WFG8 5 14 2.6 1.4 5.6 2 4 5.4 0.0004
7 16 3.2 1.4 5.8 2.4 3.2 5 0.0019
WFG9 5 14 2.8 2.2 3.4 1.6 5 6 0.0010
7 16 4.2 1.8 3.8 1.2 5.4 4.6 0.0016

Significant values are in bold.