Q$1.$ Design and Show working for Automatic Washing Machine Fuzzy Controller that has fuzzy inputs based on the following:

a$.$ Amount of Clothes or Load $($max amount can be $30$ pieces$)$

c$.$ Type of Clothes $($governed by fabric quality which is measured in $0-1$ where a lower value indicates rough fabric and a higher value indicates fine fabric

The controller based on input regulates the following

a$.$ Spin Period $($ max spin period can be $20$min $)$

b$.$ Wash Time $($measured in mins with max as $120$ mins$)$

The design of the controller includes

Create three linguistic variables for each input and two linguistic variables for each output.

Decide membership function and it's inputs like range or mean value etc.

Generating $5-10$ rules based on the general rule of washing clothes i$.$e$.$ large load with normal cloth type takes normal washing time $($around $1\mathrm{.}5hr)$ and max spin $($around $10).$ When load is less the washing time and spin decrease and vice versa. However delicate clothes are spun fewer times and include less washing.

Decide the defuzzification method.

Use an example input crisp value and show working to get output crisp values. $($Use the last values from any of the roll number in the team or the sum of the digits of roll numbers to avoid plagiarism. Mention the method in the working$)$