Consider a Takagi - Sugeno - Kanga (TSK) Model consisting of rules of the form :
If x1 is Ai1 and ... and xr is Air
THEN y = fi (x1, x2, ...., xr) = bi0 + bi1x1 + birxr
assume, αi is the matching degree of rule i, then the total output of the model is given by :
1
\(y = \;\mathop \sum \limits_{i = 1}^L {\alpha _i}{f_i}\left( {{x_1},\;{x_2}, \ldots .,\;{x_r}} \right)\)
2
\(y = \frac{{\mathop \sum \nolimits_{i = 1}^L {\alpha _i}{f_i}\left( {{x_1},\;{x_2}, \ldots .,\;{x_r}} \right)}}{{\mathop \sum \nolimits_{i = 1}^L {\alpha _i}}}\)
3
\(y = \frac{{\mathop \sum \nolimits_{i = 1}^L {f_i}\left( {{x_1},\;{x_2}, \ldots .,\;{x_r}} \right)}}{{\mathop \sum \nolimits_{i = 1}^L {\alpha _i}}}\)
4
y = max[αifi (x1, x2,....xr)]