Geoscience Reference
In-Depth Information
Mamdani
'
s method (COS-TM-TM, COM-TM-TM)
;
l
D
j
ðÞ
;
l
D
j
ðÞ
k
j
¼
1
T
M
T
M
w
1j
;
w
2j
k
j
¼
1
min min w
1j
;
w
2j
l
D
0
ðÞ¼
¼
max
max
Larsen
'
s method (COS-TP-TM)
;
l
D
j
ðÞ
l
D
j
ðÞ
k
j
¼
k
j
¼
l
D
0
ðÞ¼
max
1
T
P
T
M
w
1j
;
w
2j
¼
max
min w
1j
;
w
2j
1
7.2 Mamdani
s Method (COS-TM-TM)
'
Considering evaluation of the road surface and reasoning of conclusion rule-by-
rule, we will choose (COS-TM-TM) the centroid of sums which means calculation.
Y
l
D
j
ðÞ
ydy
P
1
j
6
y
CoS
D
j
¼
P
Y
l
D
j
ðÞ
dy
1
j
6
Y
l
D
0
1
ðÞ
ydy
þ
Y
l
D
0
2
ðÞ
ydy
þ
Y
l
D
0
3
ðÞ
ydy
þ
Y
l
D
0
4
ðÞ
ydy
þ
Y
l
D
0
5
ðÞ
ydy
þ
Y
l
D
0
6
ðÞ
ydy
Y
l
D
0
1
ðÞ
dy
þ
Y
l
D
0
2
ðÞ
dy
þ
Y
l
D
0
3
ðÞ
dy
þ
Y
l
D
0
4
ðÞ
dy
þ
Y
l
D
0
5
ðÞ
dy
þ
Y
l
D
0
6
¼
ðÞ
dy
The total weight of the j-th rule w
j
is the minimum of the particular weights of
the premises (roads, slope) w
1j
;
w
2j
in this rule (simply signed w). The membership
function of the conclusion of the j-th rule is presented as
.
l
D
j
ðÞ¼
min w
j
;
l
D
j
ðÞ
The membership
l
D
j
ðÞ
is simply denoted
l
ðÞ
.
In the
first and the second rule we evaluate small dif
culty D
1
(Fig.
12
).
−
2
w
+
3
3
⊛
y
3
⊞
2
9
∫
∫
3
2
w
y
dy
+
⊜
⊝
−
+
⊟
⊠
y
dy
=
w
−
3
w
+
w
2
2
3
2
0
−
2
w
+
3
and
−
2
w
+
3
3
⊛
y
3
⊞
∫
∫
2
w
dy
+
⊜
⊝
−
+
⊟
⊠
dy
=
−
w
+
3
w
2
2
0
−
2
w
+
3
Fig. 12 Membership function for small dif
culty
Search WWH ::
Custom Search