Assignment #1  Intelligent Systems Engineering

Assignment #1 
ECE449, Intelligent Systems Engineering
Points: 10

in the assignment box in the ETLC atrium
Note: Show your work! Marks are allocated
for technique and not just the answer.
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
( )
( ) 





−
 
−

0 for 60
60 /15 for 45 60
1 for 35 45
20 /15 for 20 35
0 for 20
x
x < x <
x
x < x <
A(x)= x
a) Sketch the graph of the function and identify its type
b) Attach a possible linguistic description to the concept represented by fuzzy set A
3. [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.
Student Name:
ID Number:
A B