Dynamic Fuzzy Machine Learning

$\begin{array}{r}{\stackrel{\rightharpoonup }{x}}^j<{\stackrel{\rightharpoonup }{X}}_{min}^j-\frac{\mathrm{\Delta }j}{2}\Rightarrow \stackrel{\rightharpoonup }{X}{\mathrm{\prime }}_{min}^j=\stackrel{\rightharpoonup }{X}{\mathrm{\prime }}_{min}^j-\mathrm{\Delta }j\\ {\stackrel{\rightharpoonup }{x}}^j>{\stackrel{\rightharpoonup }{X}}_{max}^j-\frac{\mathrm{\Delta }j}{2}\Rightarrow \stackrel{\rightharpoonup }{X}{\mathrm{\prime }}_{max}^j=\stackrel{\rightharpoonup }{X}{\mathrm{\prime }}_{max}^j+\mathrm{\Delta }j,\\ h\mathrm{\prime }=h+1\end{array}\begin{array}{r}{\overleftarrow{x}}^j<{\overleftarrow{X}}_{min}^j-\frac{\mathrm{\Delta }j}{2}\Rightarrow \overleftarrow{X}{\mathrm{\prime }}_{min}^j=\overleftarrow{X}{\mathrm{\prime }}_{min}^j-\mathrm{\Delta }j\\ {\overleftarrow{x}}^j>{\overleftarrow{X}}_{max}^j+\frac{\mathrm{\Delta }j}{2}\Rightarrow \overleftarrow{X}{\mathrm{\prime }}_{max}^j=\overleftarrow{X}{\mathrm{\prime }}_{max}^j+\mathrm{\Delta }j,\\ h\mathrm{\prime }=h+1\end{array}$

The number of patterns nib(j,k)belonging to class $\left({\overleftarrow{C}}_i,{\overrightarrow{C}}_i\right)$ in the interval according to the attribute j pattern is represented by the height of the histogram in every interval b(j, k), k ∈ {1, 2, . . ., h}. The ratio of the total number ...