Exercise $7\mathrm{.}3.$ Suppose that a fuzzy rule base consists of only one rule $(7\mathrm{.}36)$ with $14$B$($y$)$ exp$(-$y$2)(7\mathrm{.}45)$ Let the input A$\text{'}$ to the fuzzy inference engine be the fuzzy singleton $(7\mathrm{.}27).$ Plot the output membership functions HB$\text{'}($y$)$ using: $($a$)$ product, $($b$)$ minimum, $($c$)$ Lukasiewicz, $($d$)$ Zadeh, and $($e$)$ Dienes$-$Rescher inference engines HA$\text{'}($X$)$ F $\backslash 0$ otherwise $(7\mathrm{.}27)$ IF T$1$ is Ai and $..$ and xn is An$,$ THEN y is B $(7\mathrm{.}36)$