Do problems 4 through 6.

Characteristic and fuzzy membership functions 4. Given set S = {al, a2, a3, a4}. Given subset A = { a2). Write the set characteristic function Ks(A) showing membership of each element of a of set S in the subset A, KS(A)= { 5. Given carrier set S = {2,4, +, b), write a fuzzy membership function of the subset A that certainly contains the element b, certainly does not contain element 4, and maybe contains elements 2 and 4 LS(A)=(. ) 6. Using vertical bars draw the fuzzy membership function us(A) from Problem 5. us(AEA) 1.0 0.5 0.0