The fuzzy sets \(A, B, C\) are defined on the universe \(X = \{0, 1, 2, 3, 4, 5\}\) with respective
membership functions:
\(\mu_\underline{A}(x) = \frac{1}{1 + 5(x - 5)^2}\)
\(\mu_\underline{B}(x) = 2^{-x}\)
\(\mu_\underline{C}(x) = \frac{2x}{x + 5}\)
i. What is the membership function for each fuzzy set \(A, B, C\)? (6 marks)
ii. Define the intervals along the x axis corresponding to the \(\lambda\) -cut sets for each of the fuzzy set
\(A, B, C\) for \(\lambda\) equal to 0.2 and 0.4. (6 marks)