Table 8 Fuzzy membership functions for SVM and ANN-based traffic classification.
Input | Mathematical calculation | Membership plot |
|---|---|---|
\({\mathcal{u}}_{SVM}\) \(\left(S\right)\) | \({\mathcal{u}}_{SVM, No-Traffic}\left(S\right)=\left\{\begin{array}{c}1\quad 0\le S\le 0.45\\ \frac{0.50-S}{0.05} \,\,0.45\le S\le 0.50\\ 0 \quad0.50\le S\end{array}\right.\) \({\mathcal{u}}_{{SVM,Yes - Traffic}} \left( S \right) = \left\{ {\begin{array}{*{20}c} 0 & {0 \le S \le 0.45} \\ {\frac{{S - 0.45}}{{0.05}}} & {0.45 \le S \le 0.50} \\ 1 & {0.50 \le S} \\ \end{array} } \right.\) |
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\({\mathcal{u}}_{ANN}\) \(\left(A\right)\) | \({\mathcal{u}}_{ANN, No-Traffic}\left(A\right)=\left\{\begin{array}{c}1\quad 0\le A\le 0.45\\ \frac{0.50-A}{0.05} \,0.45\le A\le 0.50\\ 0\,\, 0.50\le A\end{array}\right.\) \({\mathcal{u}}_{ANN, Yes-Traffic}\left(A\right)= \left\{\begin{array}{c}0 \quad0\le A\le 0.45\\ \frac{A-0.45}{0.05} \,0.45\le A\le 0.50\\ 1\,\, 0.50\le A\end{array}\right.\) |
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