Consider a fuzzy interference system with two input domain U and output domains U = [-1, 1] and V = [-1, 1] and output domain W = [-1,1] with the following peak points:

U: -1, 0, 1

V: -1, -0.3, 0.3, 1

W: -1, -0.5, 0, 0.5, 1

and the rule base

if X is A1 and Y is B1 then Z is C5

if X is A1 and Y is B2 then Z is C4

if X is A1 and Y is B3 then Z is C3

if X is A1 and Y is B4 then Z is C3

if X is A2 and Y is B1 then Z is C4

if X is A2 and Y is B2 then Z is C3

if X is A2 and Y is B3 then Z is C3

if X is A2 and Y is B4 then Z is C2

if X is A3 and Y is B1 then Z is C3

if X is A3 and Y is B2 then Z is C2

if X is A3 and Y is B3 then Z is C2

if X is A3 and Y is B4 then Z is C1

a). Give the rule matrix for this rule base.

b). Give the input vectors produced by input u=0.6, v=0.5.

c). What is the response for input u=0.6, v=0.5.

d). Give the input vectors produced by input u=0.3, v=0.3.

e). What is the response for input u=0.3, v=0.3.