Information Technology Reference
In-Depth Information
Table 2.17
Comparisons of the derived results
Types
The result derived by intuitionistic
fuzzy netting method
The result developed by Zhang
et al.'s method (2007)
5
{
y
1
}
,
{
y
2
}
,
{
y
3
}
,
{
y
4
}
,
{
y
5
}
{
y
1
}
,
{
y
2
}
,
{
y
3
}
,
{
y
4
}
,
{
y
5
}
4
{
y
1
}
,
{
y
2
,
y
3
}
,
{
y
4
}
,
{
y
5
}
3
{
y
1
,
y
2
,
y
3
}
,
{
y
4
}
,
{
y
5
}
{
y
1
,
y
2
,
y
3
}
,
{
y
4
}
,
{
y
5
}
2
{
y
1
,
y
2
,
y
3
,
y
4
}
,
{
y
5
}
1
{
y
1
,
y
2
,
y
3
,
y
4
,
y
5
}
{
y
1
,
y
2
,
y
3
,
y
4
,
y
5
}
In this case, the cars
y
i
(
i
=
1
,
2
,
3
,
4
,
5
)
are also clustered into two types:
{
y
1
,
y
2
,
y
3
,
.
(6) When 0
y
4
}
,
{
y
5
}
.
65
<λ
≤
0
.
68, we have
⎛
⎞
y
1
⎜
⎟
*
**
**
*
y
⎜
⎟
2
⎜
⎟
=
⎜
Z
y
3
⎟
y
⎜
⎟
4
⎜
⎟
y
⎝
⎠
5
and then the cars
y
i
(
i
=
1
,
2
,
3
,
4
,
5
)
are clustered into one type:
{
y
1
,
y
2
,
y
3
,
y
4
,
y
5
}
.
In the following, let's make simple comparisons between the intuitionistic fuzzy
netting method and Zhang et al.'s method (2007) in Table
2.17
(Wang et al. 2011).
Through Table
2.17
, we know that the intuitionistic fuzzy netting method has
some desirable advantages over Zhang et al.'s method (2007): (1) It does not need to
calculate the equivalent matrix, and thus requires much less computational efforts;
(2) It can derive more detailed clustering results. Therefore, Compared to Zhang
et al. (2007)'s method, the intuitionistic fuzzy netting method has more prospects for
practical applications.
Why the intuitionistic fuzzy netting method has these characteristics? For one
thing, the proposed nettingmethod can rely on similarity relation instead of equivalent
relation as in fuzzy environment. For another, whether in Zhang et al. (2007) method
or in Wang et al. (2011)'s work, the type stander are all based on
λ
-cutting matrix,
so
-cutting
matrix, Zhang et al. (2007) first transformed the intuitionistic fuzzy matrix into an
intuitionistic fuzzy similarity matrix, and then calculated its equivalent matrix which
needs lots of computational efforts. Wang et al. (2011) not only got the
λ
is an important parameter to decide the type scalar. Before getting the
λ
-cutting
matrix directly from the intuitionistic fuzzy similarity matrix, but also improved the
principle of choosing
λ
. Since Zhang et al. (2007)'s work needs to transform the
intuitionistic fuzzy similarity matrix into an intuitionistic fuzzy equivalent matrix,
and some information may be missing during this process. Namely, the intuitionistic
fuzzy equivalent matrix cannot reflect all the information that the intuitionistic fuzzy
λ
Search WWH ::
Custom Search