(b) Consider the three domains U. V and W where U = (a, b, c), V = (x, y, z) and W =

W where f (a, x) = f (a, y) = f (c, y) = p, f(a, z) = f(b,x) = f(b, z) = q and f (b, y ) = f ( c, x) = f ( c, =)=r. Let the fuzzy set A and B on U and V respectively are given as below : 0.2 0.7 0.5 0.5 0.3 1.0 A = + + and B = + + a b C X V Z (i) Draw a table to represent the relation of f : Ux V -> W. (4 marks) (ii) If C = f(Ab B) , and by using the max-min composition, construct the membership value of C(p), C(q) and C(r). (6 marks)