The set of solutions is represented below:
x
x
5
2. Solve 1
2x
3
45
< 1.
solution:
2x
<1
3
2
1<1
x<1
3
2
2<
x<0
3
3>x>0
1
Thus the set of solutions is the interval (0, 3) and is represented as below:
h
h
0
3

0.3
Exponents and Radicals
Here is a list of
MECH 523:SOLUTION TO EXAMINATION 2003/04
Problem 1
(a)
Compositional rule of inference (CRI) is used to determine a fuzzy inference
(output) from fuzzy data (inputs) when the inputoutput relationship is fuzzy.
The extension principle (EP) is used to dete
MECH 523 Solutions to Exam, Term 1, 2002/03
Problem 1
i.
Complex and incompletely known system.
Accurate analytical model and model parameters are not
available.
Experimental modeling (i.e., system identification) is not
feasible.
Some experience/expe
MECH 523 Intelligent Control
Solutions to Intermediate Exam
2nd Term 2005/2006
Problem 1
(a)
The membership function is sketched in Figure S1(a).
A ( x)
1
0
x1 a1
x1
x2
x2 +a2
x
Figure S1(a) The membership function.
(b)
All the values of x in the region
MECH 523: Intelligent Control
Solutions to Assignment 1
1.1 F
A
T
F
F
F
B
T
F
T
F
AB
T
F
F
T
1.4 (d)
1.11
Tasks of Knowledge Engineering
Acquisition of knowledge that is pertinent, from different sources (experts, literature,
media, etc.).
Interpretatio
MECH 523: Intelligent Control
Solutions to Assignment 3
3.1
Very Fast Speed: The representation F(vv o ) is satisfactory. However, v o itself is
crisp and its value needs to be known (This is a weakness of this approach).
(a)
Presumably Fast Speed: The m
MECH 523: Intelligent Control
Solutions to Assignment 2
2.9
(a)
A
1.0
x
1
2
3
(b) Support set is 1 x 3
(c) For = 0.5, A is given by 1.5 x 2.5.
2.11
The results follow directly from the corresponding truth tables (strictly, membership
tables), in view of t
MECH 523
Intelligent Control
Solution to MidTerm Examination 1998/99
Problem 1.
(a) Grade of membership of 0.5 corresponds to the situation of the fuzziest element of a set.
Fuzziness of a set, then, is the closeness of its elements to the grade of 0.5.
MECH 523 Intelligent Control
Solutions to Intermediate Exam
2nd Term 2007/2008
Problem 1
(a)
A1: Temperature of the water is about 30 C.
B1: Species concentration in the water is about 80 %.
A2: Temperature of the water is about 20 C.
B2: Species concentr