The image below shows the output membership functions of a fuzzy logic controller and the

associated rules. The equation given is for the area $(A)$ of a trapezoid formed by cutting a symmetric

triangle of area $A_0.$

Outbut variable membership functions

$A=A_0(1-(1-u{)}^2)$

If the contributing weights for the rules are:

$(1)$ Straight: $0\mathrm{.}1$

$(2)$ East left: $0\mathrm{.}51$

$(4)$ Easy right: $0\mathrm{.}39$

where all other contributions are $0,$ what is the crisp output value from the fuzzy controller? You

should assume the fuzzy uses a Mamdani defuzzification with sum aggregation. Give you answer to

$3$ decimal places.