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: AB, AB, NOT(A). Label resulting graphs accordingly.

Student Name:

ID Number:

A B