Description
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
