Information Technology Reference
In-Depth Information
C
16
C
8
C
8
=
◦
⎛
⎞
1
.
000 0
.
709 0
.
709 0
.
709 0
.
709 0
.
919 0
.
709 0
.
709 0
.
709 0
.
709
⎝
⎠
0
.
709 1
.
000 0
.
913 0
.
771 0
.
811 0
.
709 0
.
913 0
.
771 0
.
771 0
.
811
0
.
709 0
.
913 1
.
000 0
.
771 0
.
811 0
.
709 0
.
937 0
.
889 0
.
771 0
.
811
0
.
709 0
.
771 0
.
771 1
.
000 0
.
771 0
.
709 0
.
771 0
.
771 0
.
968 0
.
771
0
.
709 0
.
811 0
.
811 0
.
771 1
.
000 0
.
709 0
.
811 0
.
811 0
.
771 0
.
861
=
0
.
919 0
.
709 0
.
709 0
.
709 0
.
709 1
.
000 0
.
709 0
.
709 0
.
709 0
.
709
0
.
709 0
.
913 0
.
937 0
.
771 0
.
811 0
.
709 1
.
000 0
.
889 0
.
771 0
.
811
0
.
709 0
.
771 0
.
889 0
.
771 0
.
811 0
.
709 0
.
889 1
.
000 0
.
771 0
.
811
0
.
709 0
.
771 0
.
771 0
.
968 0
.
771 0
.
709 0
.
771 0
.
771 1
.
000 0
.
771
0
.
709 0
.
811 0
.
811 0
.
771 0
.
861 0
.
709 0
.
811 0
.
811 0
.
771 1
.
000
hence,
C
16
C
8
, i.e.,
C
8
is an equivalent association matrix.
Step 3
Since the confidence level
=
has a close relationship with the elements of
the equivalent association matrix
C
8
, in the following, we give a detailed sensitivity
analysis with respect to the confidence level
λ
λ
, and by Eq. (
2.87
), we get all the
possible classifications of the ten new cars
y
i
(
i
=
1
,
2
,...,
10
)
:
(1) If 0
≤
λ
≤
0
.
709, then
y
i
(
i
=
1
,
2
,...,
10
)
are of the same type:
{
y
1
,
y
2
,
y
3
,
y
4
,
y
5
,
y
6
,
y
7
,
y
8
,
y
9
,
y
10
}
(2) If 0
.
709
<λ
≤
0
.
771, then
y
i
(
i
=
1
,
2
,...,
10
)
are classified into the follow-
ing two types:
{
y
1
,
y
6
}
,
{
y
2
,
y
3
,
y
4
,
y
5
,
y
7
,
y
8
,
y
9
,
y
10
}
(3) If 0
.
771
<λ
≤
0
.
811, then
y
i
(
i
=
1
,
2
,...,
10
)
are classified into the follow-
ing five types:
{
y
1
,
y
6
}
,
{
y
2
}
,
{
y
3
,
y
5
,
y
7
,
y
10
}
,
{
y
8
}
,
{
y
4
,
y
9
}
.
<λ
≤
.
861, then
y
i
(
=
,
,...,
)
(4) If 0
811
0
i
1
2
10
are classified into the follow-
ing six types:
{
y
1
,
y
6
}
,
{
y
2
}
,
{
y
3
,
y
7
}
,
{
y
8
}
,
{
y
4
,
y
9
}
,
{
y
5
,
y
10
}
(5) If 0
.
861
<λ
≤
0
.
889, then
y
i
(
i
=
1
,
2
,...,
10
)
are classified into the follow-
ing seven types:
{
y
1
,
y
6
}
,
{
y
2
}
,
{
y
3
,
y
7
}
,
{
y
4
,
y
9
}
,
{
y
5
}
,
{
y
8
}
,
{
y
10
}
(6) If 0
.
889
<λ
≤
0
.
913, then
y
i
(
i
=
1
,
2
,...,
10
)
are classified into the follow-
ing six types:
{
y
1
,
y
6
}
,
{
y
2
,
y
3
,
y
7
}
,
{
y
4
,
y
9
}
,
{
y
5
}
,
{
y
8
}
,
{
y
10
}
(7) If 0
.
913
<λ
≤
0
.
919, then
y
i
(
i
=
1
,
2
,...,
10
)
are classified the following
into seven types:
{
y
1
,
y
6
}
,
{
y
2
}
,
{
y
3
,
y
7
}
,
{
y
4
,
y
9
}
,
{
y
5
}
,
{
y
8
}
,
{
y
10
}
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