Digital Signal Processing Reference
In-Depth Information
Fig. 11.12 Fuzzy
implication according to
a Mamdani b Larsen
definitions
(a
)
1
0.9
μ
p
0.8
0.7
0.6
μ
q
0.5
0.4
μ
0.3
p
q
0.2
0.1
0
0
1
2
3
4
5
6
7
8
9
10
x, y
(b
)
1
0.9
μ
p
0.8
0.7
0.6
μ
q
0.5
0.4
μ
0.3
q
p
0.2
0.1
0
0
1
2
3
4
5
6
7
8
9
10
x, y
Fig. 11.13 FAM example
for the car acceleration
problem with two-
dimensional input space. VN
very negative, N negative,
Z zero, SP small positive,
P positive, VP very positive,
VS very small, S small,
M medium, H high, VH very
high, MB medium big, B big,
VB very big
VH
VN
VN
N
Z
Z
SP
SP
H
N
N
Z
Z
SP
P
P
M
N
Z
Z
Z
SP
P
P
S
Z
Z
Z
SP
SP
P
VP
VS
Z
Z
SP
SP
P
VP
VP
VS
S
SM
M
MB
B
VB
Distance
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