## 5 Entanglement and Numerical Test of DE-MPFSC Algorithm Stability
### Test and Analysis of DE-MPFSC Algorithm about Several Classic DE Algorithms
#### 5.4.2 Numerical Test of DE-MPFSC Algorithm about Several Classic DE Algorithms
\begin{table}
\begin{tabular}{c c c c c c c c c c c c c c c c c c c c c c} \hline \hline  & \multicolumn{4}{c}{_IDE_} & \multicolumn{4}{c}{_OSDE_} & \multicolumn{4}{c}{_DEGL_} & \multicolumn{4}{c}{_SADE_} \\ \cline{2-19} NP & \(F\) & CR & \(\xi\) & \(\zeta\) & \(\zeta\) & \(\zeta\) & \(F\) & CR & \(\zeta\) & \(\zeta\) & \(\zeta\) & \(\zeta\) & \(\zeta\) & \(\zeta\) & \(\zeta\) & \(\zeta\) & \(\zeta\) \\ \hline
200 & 0.2 & 0.3 & \(\infty\) & \(\infty\) & \(\infty\) & \(\pm 0.40\) & / 2 & 0.3 & \(-\) & \(-\) & \(\pm 1\) & 0.2 & 0.3 & \(\infty\) & \(\infty\) & \(\pm 1\) & 0.2 & 0.3 & \(1.04\times 10^{-1}\) & \(1.04\times 10^{-1}\) & \(1.03\times 10^{-1}\) \\
200 & / & / & \(\infty\) & \(\infty\) & \(\pm 0.45\) & / & / & \(-\) & \(-\) & \(\pm 1\) & / & / & \(\infty\) & \(\infty\) & \(\pm 1\) & / & \(\infty\) & \(1.06\times 10^{-1}\) & \(1.04\times 10^{-1}\) & \(1.03\times 10^{-1}\) \\
200 & / & / & \(-\) & \(-\) & \(-\) & \(\pm 0.40\) & / & / & \(-\) & \(-\) & \(-\) & \(\pm 1\) & / & \(-\) & \(\infty\) & \(\pm 1\) & / & \(-\) & \(-\) & \(\infty\) & \(\pm 1\) & / & \(-\) & \(2.77\times 10^{-2}\) & \(2.77\times 10^{-2}\) & \(\pm 0.40\) \\ \hline \multicolumn{19}{c}{_IDE_} & \multicolumn{4}{c}{_OSDE_} & \multicolumn{4}{c}{_SDE_} \\ \cline{2-19} NP & \(F\) & CR & \(\xi\) & \(\zeta\) & \(\zeta\) & \(\zeta\) & \(F\) & CR & \(\xi\) & \(\zeta\) & \(\zeta\) & \(F\) & CR & \(\xi\) & \(\zeta\) & \(\zeta\) & \(\zeta\) & \(\zeta\) & \(\zeta\) \\ \hline
400 & 0.2 & 0.3 & \(-\  
Then, we analyze from the state of entangled branches. When the number of individuals is 200, 400 or 1000, the entanglement degree and entanglement degree error of JDE do not exist, and the entanglement branches are in a discrete state. As the number of individuals increases, the entanglement effect appears fluctuating. When the number of individuals is 200 or 1000, the entanglement degree and entanglement degree error of OBDE do not exist, and the entangled branches are in a discrete state. When the number of individuals is 200, 400, 600 or 800, the integration of entangled branches gradually increases. However, the increase of OBDE is weaker than that of DE-MPFSC. The entanglement of the former shows a coexistence state of gradualism and fluctuation. When the number of individuals is 200 or 1000, the entanglement degree and entanglement degree error of DEGL do not exist, and the entangled branches are in a discrete state. When the number of individuals is 400 and 800, the integration of entangled branches begins to appear and it reaches the best state when the number of individuals is 600. The entanglement of DEGL shows coexistence of symmetry and fluctuation. The case is not conducive to the stable development of population evolution. When the number of individuals gradually increases, the entanglement degree and entanglement degree error of SADE are always integrated and increase with the number of individuals. However, due to the dispersion of the edges of the entangled branches, the entanglement increases slowly. Overall, DE-MPFSC has better stability and effectiveness than JDE, OBDE, DEGL and SADE.