## 4 Experiments
### The Component Analysis
\begin{table}
\begin{tabular}{c|c|c|c|c|c|c|c} \hline \multirow{2}{*}{**Func**} & \multicolumn{4}{c|}{**IGD**} & \multicolumn{4}{c|}{**HV**} \\ \cline{2-9}  & **NSGAIII** & **NSGAIII-GIS** & **MoGA-GIS** & **AMoGA-GIS** & **NSGAIII** & **NSGAIII-GIS** & **MoGA-GIS** & **AMoGA-GIS** \\ \hline R\_8 & \({}^{*}5.54\times 10^{5}\) & \(6.86\times 10^{5}\) & \(\mathbf{4.12\times 10^{5}}\) & \(4.90\times 10^{5}\) & \({}^{*}7.11\times 10^{11}\) & \(1.93\times 10^{11}\) & \(\mathbf{2.37\times 10^{12}}\) & \(1.47\times 10^{12}\) \\ R\_9 & \(5.29\times 10^{5}\) & \({}^{*}4.67\times 10^{5}\) & \(4.40\times 10^{5}\) & \(\mathbf{4.22\times 10^{5}}\) & \(2.13\times 10^{11}\) & \({}^{*}2.59\times 10^{11}\) & \(6.38\times 10^{11}\) & \(\mathbf{6.48\times 10^{11}}\) \\ R\_10 & \({}^{*}6.01\times 10^{5}\) & \({}^{*}6.01\times 10^{5}\) & \(3.90\times 10^{5}\) & \(\mathbf{3.86\times 10^{5}}\) & \({}^{*}4.14\times 10^{11}\) & \(3.59\times 10^{11}\) & \(2.92\times 10^{12}\) & \(\mathbf{3.27\times 10^{12}}\) \\ RC\_1 & \({}^{*}2.69\times 10^{5}\) & \({}^{*}5.2\times 10^{5}\) & \(2.89\times 10^{5}\) & \(4.15\times 10^{5}\) & \(1.45\times 10^{12}\) & \({}^{*}6.72\times 10^{11}\) & \(1.73\times 10^{12}\) & \(\mathbf{3.02\times 10^{12}}\) \\ RC\_2 & \(6.16\times 10^{5}\) & \({}^{*}5.15\times 10^{5}\) & \(3.91\times 10^{5}\) & \(\mathbf{2.61\times 10^{5}}\) & \(1.08\times 10^{12}\) & \({}^{*}1.91\times 10^{12}\) & \(7.14\times 10^{12}\) & \(\mathbf{9.35\times 10^{12}}\) \\ RC\_3 & \({}^{*}6.27\times 10^{5}\) & \({}^{*}5.74\times 10^{5}\) & \({}^{*}6.69\times 10^{5}\) & \(6.72\times 10^{5}\) & \({}^{*}2.34\times 10^{12}\) & \(4.23\times 10^{11}\) & \(1.80\times 10^{12}\) & \(\mathbf{2.56\times 10^{12}}\) \\ RC\_4 & \(4.02\times 10^{5}\) & \({}^{*}3.99\times 10^{5}\) & \(\mathbf{2.12\times 10^{5}}\) & \(2.71\times 10^{5}\) & \(2.88\times 10^{11}\) & \({}^{*}4.01\times 10^{11}\) & \(\mathbf{2.09\times 10^{12}}\) & \(1.42\times 10^{12}\) \\ RC\_5 & \({}^{*}4.71\times 10^{5}\) & \({}^{*}4.75\times 10^{5}\) & \(2.91\times 10^{5}\) & \(\mathbf{2.33\times 10^{5}}\) & \(1.50\times 10^{12}\) & \({}^{*}1.86\times 10^{12}\) & \(5.30\times 10^{12}\) & \(\mathbf{7.27\times 10^{12}}\) \\ RC\_6 & \({}^{*}5.98\times 10^{5}\) & \({}^{*}5.00\times 10^{5}\) & \(\mathbf{3.43\times 10^{5}}\) & \(4.10\times 10^{5}\) & \({}^{*}4.24\times 10^{11}\) & \(1.45\times 10^{12}\) & \(3.32\times 10^{12}\) & \(\mathbf{3.88\times 10^{12}}\) \\ RC\_7 & \({}^{*}5.52\times 10^{5}\) & \({}^{*}5.92\times 10^{5}\) & \(\mathbf{2.99\times 10^{5}}\) & \(4.03\times 10^{5}\) & \(1.31\times 10^{12}\) & \({}^{*}6.28\times 10^{11}\) & \(\mathbf{4.43\times 10^{12}}\) & \(2.79\times 10^{12}\) \\ RC\_8 & \({}^{*}6.51\times 10^{5}\) & \({}^{*}4.61\times 10^{5}\) & \(\mathbf{3.62\times 10^{5}}\) & \(3.74\times 10^{5}\) & \(1.04\times 10^{12}\) & \({}^{*}3.29\times 10^{12}\) & \(5.23\times 10^{12}\) & \(\mathbf{7.23\times 10^{12}}\) \\ RC\_9 & \({}^{*}3.39\times 10^{5}\) & \({}^{*}3.53\times 10^{5}\) & \(\mathbf{3.11\times 10^{5}}\) & \(3.30\times 10^{5}\) & \(6.79\times 10^{11}\) & \({}^{*}3.44\times 10^{12}\) & \(\mathbf{5.12\times 10^{12}}\) & \(3.30\times 10^{12}\) \\ RC\_10 & \({}^{*}3.72\times 10^{5}\) & \({}^{*}3.72\times 10^{5}\) & \(1.57\times 10^{5}\) & \(5.22\times 10^{4}\) & \(8.48\times 10^{11}\) & \({}^{*}1.50\times 10^{12}\) & \(4.55\times 10^{12}\) & \(2.93\times 10^{12}\) \\ \hline avg & \(5.94\times 10^{5}\) & \({}^{*}5.65\times 10^{5}\) & \(4.22\times 10^{5}\) & \(\mathbf{4.18\times 10^{5}}\) & \(1.01\times 10^{12}\) & \(1.57\times 10^{12}\) & \(4.00\times 10^{12}\) & \(\mathbf{4.21\times 10^{12}}\) \\ \hline better & 29.62\% & 26.01\% & 0.86\% & 0\% & 316.26\% & 167.32\% & 5.21\% & 0\% \\ \hline \end{tabular}  
\({}^{*}\) representing the winners of NSGAIII and NSGAIII-GIS. Bold values indicating the best performance in each evaluation metric.  
\end{table} 
Table 2: _Cont._