Q$1(10$ marks$)$ :

Given the below medical image. Design a fuzzy rule$-$based system to classify the degree of $($tumor$).$ Dark regions are severe cases, gray is mid$-$level, and light regions are initial cases. The fuzzy rule should have three chosen inputs $($four members$),$ and one output with three classification status $($three members$).$ Define the number of members. Inputs should be image regional features.

Show the system structure, five associated fuzzy rules.

Simulate the system operation via hand $($with numerical$).$

Use four memberships for each variable at the input and three for the output, $($bell shapes$),(5$ marks$).$

Write adequate number of rules, and show it works via the fuzzy rules, $(5$ marks$).$

Quoted Image: Research Article: A New Kernel$-$Based Fuzzy Level Set Method for Automated Segmentation of Medical Images in the Presence of Intensity Inhomogeneity