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. 2025 Apr 24;15:14380. doi: 10.1038/s41598-025-99207-1

Table 13.

The rank and P-value matrix based on HV using ZDT and DTLZ functions.

Problem MOGBO PRE-DEMO MOEDO PI-MOEA CLGRMOEA MOCPO P-VALUE
ZDT1 2.2 2.8 1.3 3.8 5.3 5.6 5.44E-08
ZDT2 2.9 1 3.3 4.9 4.5 4.4 1.64E-05
ZDT3 2.3 3.3 1.3 4 4.5 4.6 2.79E-06
ZDT4 2.6 2.3 2.4 4.8 4.1 4.8 9.76E-04
ZDT6 1.9 3.6 1.4 4.4 4.5 5.2 3.18E-06
DTLZ1 3.2 3.1 3.45 2.15 4.4 4.7 2.98E-02
DTLZ2 2 5.1 3.6 1 4.3 5 1.57E-07
DTLZ3 3.5 3.5 3.5 3.5 3.5 3.5 1.00E + 00
DTLZ4 2.7 3.1 3.6 2.5 4.4 4.7 4.07E-02
DTLZ5 2.2 4.8 1.4 4.4 3.3 4.9 1.30E-05
DTLZ6 2.1 4.6 1.1 4 3.2 6 1.97E-08
DTLZ7 2.5 3.8 3 2.2 5.4 4.1 1.25E-03
DTLZ8 1.9 3.6 3.3 5.7 2.5 4 1.48E-04
DTLZ9 4.3 2.1 2.9 4.2 4.3 3.2 3.56E-02