# A Convex Combination Approach for Artificial Neural Network of Interval Data
## 3 The Proposed Method Artificial Neural Network with Convex Combination (ANN-CC)
\begin{tabular}{c c c c c c c c c} \hline \hline  & & \multicolumn{2}{c}{**Number**} & \multicolumn{2}{c}{**MAE**} & \multicolumn{2}{c}{**MSE**} & \multicolumn{2}{c}{**RMSE**} \\ \hline PTT & Activation & Hidden Neuron & out & in & out & in & out & in \\ \hline ANN-CC & exp & 2 & **0.009030** & **0.009085** & **0.000151** & **0.000145** & **0.012275** & **0.012040** \\  & exp & 2 & **(1.0000)** & **(1.0000)** & **(1.0000)** & **(1.0000)** & **(1.0000)** & **(1.0000)** \\ ANN-Center & linear & 2 & 0.018735 & 0.018200 & 0.000548 & 0.000541 & 0.023434 & 0.023269 \\  & linear & 2 & (0.0000) & (0.0000) & (0.0000) & (0.0000) & (0.0000) & (0.0000) \\  & & 0.009113 & 0.009108 & 0.000162 & 0.000156 & 0.012731 & 0.012481 \\  & exp & 3 & (0.2012) & (0.1015) & (0.2450) & (0.0010) & (0.3232) & (0.0000) \\  & & 0.017932 & 0.017817 & 0.000513 & 0.000501 & 0.022652 & 0.022383 \\ IF & & & (0.0000) & (0.0000) & (0.0000) & (0.0000) & (0.0000) & (0.0000) \\  & & & 0.018212 & 0.018326 & 0.000523 & 0.000561 & 0.022873 & 0.0236861 \\ PM & & & (0.0000) & (0.0000) & (0.0000) & (0.0000) & (0.0000) & (0.0000) \\  & & & 0.021453 & 0.020541 & 0.000751 & 0.000664 & 0.027410 & 0.025771 \\ Center & & & (0.0000) & (0.0000) & (0.0000) & (0.0000) & (0.0000) & (0.0000) \\ Center-range & & & 0.019877 & 0.01532 & 0.000717 & 0.000602 & 0.026771 & 0.024538 \\  & & & (0.0000) & (0.0000) & (0.0000) & (0.0000) & (0.0000) & (0.0000) \\ \hline \hline \multicolumn{10}{c}{} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{} \\ \hline SCC & & & out & in & out & in & out & in \\ \hline ANN-CC & exp & 2 & **0.010011** & **0.010006** & **0.000156** & **0.000155** & **0.012494** & **0.012469** \\  & exp & & **(1.0000)** & **(1.0000)** & **(1.0000)** & **(1.0000)** & **(1.0000)** & **(1.0000)** \\ ANN-Center & exp & 3 & 0.012653 & 0.012585 & 0.000273 & 0.000267 & 0.016530 & 0.016353 \\  & & & (0.0000) & (0.0000) & (0.0000) & (0.0000) & (0.0000) & (0.0000) \\ RANN-LU & exp & 2 & 0.013058 & 0.013048 & 0.000285 & 0.000281 & 0.016898 & 0.016773 \\  & & & (0.0000) & (0.0000) & (0.0000) & (0.0000) & (0.0000) & (0.0000) \\ IF & & & 0.012455 & 0.012101 & 0.000250 & 0.000236 & 0.015813 & 0.015366 \\  & & & (0.0000) & (0.0000) & (0.0000) & (0.0000) & (0.0000) & (0.0000) \\  & & & 0.013013 & 0.012992 & 0.000271 & 0.000263 & 0.016464 & 0.016221 \\ PM & & & (0.0000) & (0.0000) & (0.0000) & (0.0000) & (0.0000) & (0.0000) \\ Center & & & 0.014044 & 0.014021 & 0.000285 & 0.000281 & 0.016877 & 0.016765 \\  & & & (0.0000) & (0.0000) & (0.0000) & (0.0000) & (0.0000) & (0.0000) \\ Center-range & & & 0.013221 & 0.013019 & 0.000277 & 0.000275 & 0.016642 & 0.016581 \\  & & & (0.0000) & (0.0000) & (0.0000) & (0.0000) & (0.0000) & (0.0000) \\ \hline \multicolumn{10}{c}{} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{} \\ \hline CPALL & & & out & in & out & in & out & in \\ \hline ANN-CC & exp & 2 & **0.011830** & **0.011123** & **0.000212** & **0.000201** & **0.014567** & **0.014183** \\  & exp & 2 & **(1.0000)** & **(1.0000)** & **(1.0000)** & **(1.0000)** & **(1.0000)** & **(1.0000)** \\ ANN-Center & exp & 3 & 0.014286 & 0.014245 & 0.000413 & 0.000385 & 0.020323 & 0.019629 \\  & & & (0.0000) & (0.0000) & (0.0000) & (0.0000) & (0.0000) & (0.0000) \\ RANN-LU & exp & 3 & 0.014032 & 0.014000 & 0.000396 & 0.000393 & 0.019083 & 0.019832 \\  & & & (0.0000) & (0.0000) & (0.0000) & (0.0000) & (0.0000) & (0.0000) \\ IF & & & 0.013251 & 0.013656 & 0.000372 & 0.000369 & 0.019291 & 0.019205 \\  & & & (0.0000) & (0.0000) & (0.0000) & (0.0000) & (0.00000) & (0.00000) \\ \hline \multicolumn{10}{c}{} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{} & \multicolumn{1}{c}{} \\ \hline \hline \end{tabular}