Q$2.$ A two$-$input $(x,y$ and single output $($u$)$ fuzzy controller uses the following rule table for

controlling a plant:

y$-$input

The linguistic terms are defined as follows:

$$

$($i$)$ Find the output fuzzy set when the inputs are $x=-0\mathrm{.}25,$ and $y=1.$

$($ii$)$ Assuming COG defuzzification find the crisp control output corresponding to the inputs $x=$

$\frac{0\mathrm{.}5}{3}($fraction$),$ and $y=0\mathrm{.}5.$