Exercise:
Two fuzzy sets have the following membership functions:
$\begin{aligned}
A &= \begin{cases}
\mu(x) = 0 & x < 25 \text{ or } x > 35 \\
\mu(x) = \frac{x}{5} - 5 & x \in [25, 30] \\
\mu(x) = -\frac{x}{5} + 7 & x \in [30, 35]
\end{cases} \\
B &= \begin{cases}
\mu(x) = 0 & x < 30 \text{ or } x > 40 \\
\mu(x) = \frac{x}{5} - 6 & x \in [30, 35] \\
\mu(x) = -\frac{x}{5} + 8 & x \in [35, 40]
\end{cases}
\end{aligned}$
Plot A, B, A ? B, A U B, ?, B?, and ? ? B?
