$($a$)$ Describe the purpose of Activation Function in Neural Network and differentiate betweenRELU and Leaky RELU Activation Function with appropriate equation and graphical illustration. $(5$ marks$)$

$($b$)$ Define what you understand by hybridization. List and briefly describe three hybrid systems in Machine learning $(5$ marks$)$

$($c$)$ Neural$-$Trained Fuzzy systems are being used in many commercial applications. An example is the Laboratory for International Fuzzy Engineering Research $($LIFE$)$ in Yokohama, Japan, where back$-$propagation neural network that uses fuzzy rules are deployed. Briefly discuss some reasons for using fuzzy logic in ANN and how this can be incorporated. $(5$ marks$)$