Assignment 1 Solution

1. [2 marks] Write the expression for the characteristic function of the set







S







= x |







x















10







.
















2. [5 marks] Given the fuzzy set A with the membership function




A(x) = 0


for x 20




for 20 < x < 35
(x − 20)/15










for 35 x 45
1




− x)/15
for 45 < x < 60
(60










for x 60
0





Sketch the graph of the function and identify its type


















Attach a possible linguistic description to the concept represented by fuzzy set A












[3 marks] Consider fuzzy sets A and B shown in the following figure. In the same figure, sketch results of the following operations: A B, A B, NOT(A). Label resulting graphs accordingly.









A B