1.

Consider a Takagi - Sugeno - Kanga (TSK) Model consisting of rules of the form :If x1 is Ai1 and ... and xr is AirTHEN y = fi (x1, x2, ...., xr) = bi0 + bi1x1 + birxrassume, αi is the matching degree of rule i, then the total output of the model is given by :

A. \(y = \;\mathop \sum \limits_{i = 1}^L {\alpha _i}{f_i}\left( {{x_1},\;{x_2}, \ldots .,\;{x_r}} \right)\)
B. \(y = \frac{{\mathop \sum \nolimits_{i = 1}^L {\alpha _i}{f_i}\left( {{x_1},\;{x_2}, \ldots .,\;{x_r}} \right)}}{{\mathop \sum \nolimits_{i = 1}^L {\alpha _i}}}\)
C. \(y = \frac{{\mathop \sum \nolimits_{i = 1}^L {f_i}\left( {{x_1},\;{x_2}, \ldots .,\;{x_r}} \right)}}{{\mathop \sum \nolimits_{i = 1}^L {\alpha _i}}}\)
D. y = max[αifi (x1, x2,....xr)]
Answer» C. \(y = \frac{{\mathop \sum \nolimits_{i = 1}^L {f_i}\left( {{x_1},\;{x_2}, \ldots .,\;{x_r}} \right)}}{{\mathop \sum \nolimits_{i = 1}^L {\alpha _i}}}\)


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