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μ Q
=
+
+
=
.
×
+
Theareabelow
is A
rectangle(1)
rectangle(2)
triangle (3)
0
3
7
4
×
0
.
4
3
×
0
.
7
+
=
5. Since the area of the rectangle with base
[
0
,
3
]
is 0
.
3
×
3
=
0
.
9,
2
it is y 0 >
3. Hence,
y 0
3
y
10 dy
0
.
3 dy
+
=
A
/
2
=
2
.
5
.
0
3
10 y 0
5, or y 0
3
1
Then 3
×
0
.
3
+
ydy
=
2
.
ydy
=
10
(
2
.
5
0
.
9
) =
16. Thus,
3
y 2
2 ]
y 0
3
y 0
y 0 =
[
=
16
9
=
32
41
y 0 =
6
.
4
.
The defuzzified value that corresponds to x 0 =
4.
Defuzzifying with the centre of the area we obtained an output for all values x 0
0
.
3, is y 0 =
6
.
in
. Let's see it by means of the function CRI with defuzzification made by the
centre of the area.
[
0
,
1
]
1. The graphics, for any input x 0
1
/
2, is
Theareabelow
μ Q
is
A = 10 ( 1 x 0 ) x 0 + ( 10 10 ( 1 x 0 ))( 1 x 0 ) + ( 1 x 0 x 0 )( 10 ( 1 x 0 ) 10 x 0 )
2
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