[Solved] ECE 449 Assignment 1

1. Write the expression for the characteristic function of the setS =x|x>10.
2. Given the fuzzy set A with the membership function

A(x)= 0 for x 20

(x 20)/15 for 20 < x< 35

1 for 35 x 45

(60 x)/15 for 45< x< 60

0 for x 60

1. Sketch the graph of the function and identify its type
2. Attach a possible linguistic description to the concept represented by fuzzy set A
3. 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.