In this question, X is the last digit of your student ID number/10 and Y is the second last digit of your student ID number/10. For example, if your student number is 19029021, then X = 0.1 and Y = 0.2. (a) Given two fuzzy sets below, 0.3 0.4 X + + 1 2 (0 Y 0.35 0.6 + 3 4 B ==+ + (1 2 Find the following (i) (ii) B 0.75 + + 3 4 5 Union (AUB) intersection (An B) complement( A and B) 0.9 +-+ 5 (iii) (iv) difference (AIB) (b) Consider two fuzzy sets given as follows. + 1) X 0.2 0.5 + Low Medium High Y 0.9 0.4 + Positive Zero Negative) (3 marks) (3 marks) (4 marks) (3 marks) (i) (ii) Find the fuzzy relation for the Cartesian product of A and B, i.e. = B Introduce a fuzzy set given by 0.1 0.3 0.7 ={Low Medium High) Find CR using max-min composition (6 marks) (6 marks)