A Fuzzy expert system should be designed to control the amount of water that should be given to plants $($W$).$ The two inputs for this system are the temperature $($TEMP$)$ and the amount of rainfall $($RF$).$

The TEMP $(0$ F$120$ F$)$ has three fuzzy sets:$$

High TEMP $($HT$)$

Medium TEMP $($MT$)$

Low TEMP $($LT$)$

The RF $(0$ Inch $60$ Inch$)$ has three fuzzy sets:$$

High RF $($HRF$)$

Medium RF $($MRF$)$

Low RF $($LRF$)$

Answer the following questions:$$

Use the Trapezoidal function to define the memberships of TEMP.$(1\mathrm{.}5$ points$)$

Use the Trapezoidal function to define the memberships of RF$.(1\mathrm{.}5$ points$)$

Use discrete method to define the memberships for the W fuzzy sets.$(1$ point$)$

Write the required rules for this system.$(1$ point$)$

Calculate the crisp value for W if TEMP $=60$ F and the RF $=10$ Inch.$(4$ points $(1$ point for each step$))$