Table 7: Comparative results of all the compared algorithms on the UF test problems regarding HV.
 Problems Algorithms MOEA/D-DE MOEA/D-DRA MOEA/D-FRRMAB MOEA/D-STM MOEA/D-UCB-T MOEA/D-ARG MOEA/D-LSIAS UF1 Mean 3.5883 3.5937 3.6157 3.6265 3.6159 3.6189 3.6225 IQR Rank 7 6 5 1 4 3 2 UF2 Mean 3.6094 3.6158 3.6355 3.6202 3.6343 3.6269 3.6383 IQR Rank 7 6 2 5 3 4 1 UF3 Mean 3.5457 3.5753 3.5671 3.5966 3.5688 3.6007 3.6043 IQR Rank 7 4 6 3 5 2 1 UF4 Mean 3.1729 3.1667 3.2067 3.1818 3.2072 3.2229 3.2244 IQR Rank 6 7 4 5 3 2≈ 1 UF5 Mean 2.7922 2.8537 2.9587 3.1919 2.9228 3.0537 3.1661 IQR Rank 7 6 4 1 5 3 2 UF6 Mean 2.7671 2.8021 2.9891 3.0071 2.9920 2.8444 3.1059 IQR Rank 7 6 4 2 3 5 1 UF7 Mean 3.4147 3.4276 3.4396 3.4534 3.4392 3.4615 3.4774 IQR Rank 7 6 4 3 5 2 1 UF8 Mean 6.3576 6.3327 6.7828 6.6325 6.7813 6.4792 6.5927 IQR Rank 6 7 1 3 2 5 4 UF9 Mean 6.8127 7.0236 7.0345 7.1575 7.0327 7.1082 7.1056 IQR Rank 7 6 4 1 5 2 3 UF10 Mean 3.6443 3.7456 3.7198 3.6211 3.7203 3.8108 3.8102 IQR Rank 6 3 5 7 4 1 2 Rank Sum 67 57 39 31 39 29 18 +/−/≈ 0/10/0 0/10/0 1/9/0 4/6/0 1/9/0 2/7/1
“+,” “−,” and “≈,” respectively, indicate the result of the algorithm is better than, worse than, and similar to that of MOEA/D-LSIAS based on the Wilcoxon’s rank sum test with a significance .