Geoscience Reference
In-Depth Information
reasoning of conclusion rule-by-rule B
0
¼
k
j
¼
1
B
j
is
l
B
0
ðÞ¼
1
j
k
l
B
j
ðÞ
max
. The
situation is simpler, if the universe of the output variable is discrete subset of real
numbers Y
¼
y
1
;
y
2
;
...
;
y
r
f
g
.
ydy
Y
l
B
0
ðÞ
ydy
Y
max
j
k
l
B
j
ðÞ
1
Y
l
B
0
ðÞ
dy
¼
dy
y
CoG
B
0
¼
continuous membership function
Y
max
1
j
k
l
B
j
ðÞ
P
r
i
¼
1
l
B
0
y
ðÞ
y
i
P
r
y
CoG
B
0
¼
discrete membership function
1
l
B
0
y
ðÞ
i
¼
5.2 CoS [
6
]
It serves to
nd the
first coordinate of the centroid of area which is bounded by the
function de
l
B
j
. The method is easy-to-
use because it does not need to determine the conclusion B
0
. If the particular
conclusions of rules do not overlap, the result of the method CoS is the same as for
the method CoG.
ned as sum of the membership functions
Y
P
1
j
k
l
B
j
P
Y
l
B
j
ðÞ
ydy
ðÞ
ydy
y
CoS
B
j
¼
¼
1
j
k
continuous membership function
Y
Y
l
B
j
P
P
l
B
j
ðÞ
dy
ðÞ
dy
1
j
k
1
j
k
P
r
i
¼
1
y
i
P
k
j
¼
1
l
B
j
y
ðÞ
y
CoS
B
j
¼
discrete membership function
P
r
1
P
k
j
¼
1
l
B
j
y
ðÞ
i
¼
5.3 CoM
The
first coordinate of the membership function is written for each conclusion of
rule by the method of the most important maximum (Mean of Maximum) and the
result is the centroid of singletons.
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