# Fuzzy Fireworks Algorithm Based on a Sparks Dispersion Measure
## 11 Results and Discussion
\begin{table}
\begin{tabular}{c c c c c c c} \hline \hline
**Number** & **IFWA** & **IFWA** & **DPIFFWA-I** & **DPIFFWA-I** & **DPIFFWA-II** & **DPIFFWA-II** \\ \hline
**Function** & **Mean** & **STD** & **Mean** & **STD** & **Mean** & **STD** \\ \hline
1 & 4.79 & 1.57 & 4.54 & \(8.20\times 10^{-1}\) & 4.68 & 1.13 \\
2 & \(9.24\times 10^{-1}\) & \(1.08\times 10^{-1}\) & \(5.73\times 10^{-1}\) & \(2.10\times 10^{-1}\) & \(5.26\times 10^{-1}\) & \(2.98\times 10^{-1}\) \\
3 & \(2.35\times 10^{2}\) & \(8.14\times 10^{1}\) & \(1.81\times 10^{2}\) & \(6.85\times 10^{1}\) & \(1.66\times 10^{2}\) & \(6.93\times 10^{1}\) \\
4 & \(2.87\times 10^{4}\) & \(2.75\times 10^{4}\) & \(6.27\times 10^{3}\) & \(6.24\times 10^{3}\) & \(6.32\times 10^{3}\) & \(7.51\times 10^{3}\) \\
5 & \(6.48\times 10^{-2}\) & \(1.89\times 10^{-1}\) & \(3.26\times 10^{-2}\) & \(7.75\times 10^{-2}\) & \(2.67\times 10^{-2}\) & \(5.86\times 10^{-2}\) \\
6 & \(5.06\times 10^{1}\) & \(2.75\times 10^{1}\) & \(2.21\times 10^{1}\) & 9.74 & \(1.84\times 10^{1}\) & \(1.51\times 10^{1}\) \\
7 & \(-9.53\times 10^{2}\) & \(6.54\times 10^{1}\) & \(-9.10\times 10^{2}\) & \(2.13\times 10^{1}\) & \(-1.08\times 10^{3}\) & \(5.69\times 10^{1}\) \\
8 & \(-1.80\) & \(2.91\times 10^{-4}\) & \(-1.80\) & \(1.12\times 10^{-3}\) & \(-1.80\) & \(5.89\times 10^{-4}\) \\
9 & \(-7.81\) & \(5.73\times 10^{-1}\) & \(-7.22\) & \(2.23\times 10^{-1}\) & \(-8.64\) & \(7.12\times 10^{-1}\) \\
10 & \(-1.00\) & \(3.36\times 10^{-4}\) & \(-9.98\times 10^{-1}\) & \(2.94\times 10^{-3}\) & \(-9.99\times 10^{-1}\) & \(2.39\times 10^{-3}\) \\
11 & \(3.01\) & \(8.40\times 10^{-3}\) & \(3.03\) & \(2.69\times 10^{-2}\) & \(3.00\) & \(8.13\times 10^{-3}\) \\
12 & \(1.59\) & \(8.09\times 10^{-1}\) & \(1.49\) & \(4.76\times 10^{-1}\) & \(7.39\times 10^{-1}\) & \(3.52\times 10^{-1}\) \\
13 & \(-1.03\) & \(3.48\times 10^{-4}\) & \(-1.03\) & \(9.21\times 10^{-4}\) & \(-1.03\) & \(5.26\times 10^{-4}\) \\
14 & \(-1.85\times 10^{2}\) & \(1.56\times 10^{1}\) & \(-2.03\times 10^{2}\) & 4.24 & \(-2.09\times 10^{2}\) & \(1.48\) \\ \hline \hline \end{tabular}
\end{table} 
Table 8: Means and standard deviations of the fourteen benchmark functions with SI = 1. IFWA = Iterative Fireworks Algorithm. \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline
**Number** & **IFWA** & **IFWA** & **DPIFFWA-I** & **DPIFFWA-I** & **DPIFFWA-II** & **DPIFFWA-II** \\ \hline
1 & 8.40 & 1.67 & 4.87 & 1.07 & 5.20 & 1.48 \\
2 & \(9.82\times 10^{-1}\) & \(1.93\times 10^{-1}\) & \(7.17\times 10^{-1}\) & \(2.53\times 10^{-1}\) & \(5.90\times 10^{-1}\) & \(3.12\times 10^{-1}\) \\
3 & \(3.89\times 10^{2}\) & \(9.38\times 10^{1}\) & \(2.72\times 10^{2}\) & \(6.96\times 10^{1}\) & \(2.31\times 10^{2}\) & \(1.27\times 10^{2}\) \\
4 & \(2.15\times 10^{5}\) & \(1.96\times 10^{5}\) & \(3.50\times 10^{4}\) & \(3.29\times 10^{4}\) & \(4.30\times 10^{4}\) & \(6.14\times 10^{4}\) \\
5 & \(1.26\times 10^{-1}\) & \(2.83\times 10^{-1}\) & \(1.54\times 10^{-2}\) & \(2.39\times 10^{-2}\) & \(6.06\times 10^{2}\) & \(1.78\times 10^{-1}\) \\
6 & \(1.61\times 10^{2}\) & \(7.72\times 10^{1}\) & \(4.18\times 10^{1}\) & \(2.47\times 10^{1}\) & \(4.17\times 10^{1}\) & \(3.43\times 10^{1}\) \\
7 & \(-9.96\times 10^{2}\) & \(5.98\times 10^{1}\) & \(-9.16\times 10^{2}\) & \(2.21\times 10^{1}\) & \(-1.07\times 10^{3}\) & \(7.97\times 10^{1}\) \\
8 & \(-1.80\) & \(8.48\times 10^{-5}\) & \(-1.80\) & \(7.63\times 10^{-4}\) & \(-1.80\) & \(6.25\times 10^{-4}\) \\
9 & \(-7.86\) & \(5.98\times 10^{-1}\) & \(-7.27\) & \(2.32\times 10^{-1}\) & \(-8.85\) & \(6.56\times 10^{-1}\) \\
10 & \(-1.00\) & \(6.29\times 10^{-4}\) & \(-9.95\times 10^{-1}\) & \(5.88\times 10^{-3}\) & \(-9.97\times 10^{-1}\) & \(7.49\times 10^{-3}\) \\
11 & \(3.01\) & \(1.21\times 10^{-2}\) & \(3.05\) & \(5.56\times 10^{-2}\) & \(3.00\) & \(7.55\times 10^{-3}\) \\
12 & \(7.15\) & \(6.27\) & \(6.39\) & \(2.15\) & \(2.72\) & \(1.92\) \\
13 & \(-1.03\) & \(4.00\times 10^{