Fuzzy logic operates on basis of vague predicates. It has however found applications in optimisation of material removal processes as a component in the Artificial Intelligence $($AI$)$ controller in Numerically Controlled $($NC$)$ machining processes.

$($a$)$ Explain the benefits of using a fuzzy logic controller in optimisation of material removal rate in NC milling. $[10]$

$($b$)$ What challenges does a control engineer face in designing a fuzzy logic controller for NC milling. $[10]$

$($c$)$ How can the challenges you mentioned above be addressed when implementing a fuzzy logic controller for NC milling. $[5]$