Image Processing Reference
In-Depth Information
So,
2
−−
[( ) /
i
34
e
w
=
i
∑
n
2
−−
[( ) /
j
34
e
j
=
1
2
−−
[(
13 4
)/]
e
w
=
1
2
2
2
2
2
−−
[(
13 4
)/]
−−
[(
2 34 33 4
) /]
−−
[(
)/]
−
[(443 4
−
)/]
−
[(
5 34
−
) /]
e
e
e
e
e
+
+
+
+
−
1
e
0 3678
3
.
.
=
++++
=
=
0 1117
.
≈
0 112
.
−
1
−
14
/
−
0
−
14
/
−
1
e
e
e
e
e
2932
2
−−
[(
23 4
)/]
e
0.7788
3.2932
w
=
=
=
0 236
.
2
2
2
2
2
2
−−
[(
13 4
)/]
−−
[(
2 34 33 4
) /]
−−
[(
)/]
−
[(443 4
−
)/]
−
[(
5 34
−
) /]
e
e
e
e
e
+
+
+
+
2
−−
[(
33 4
)/]
e
1
3.2932
w
=
=
=
0 304
.
3
2
2
2
2
2
−−
[(
13 4
)/]
−−
[(
2 34 33 4
) /]
−−
[(
)/]
−
[(443 4
−
)/]
−
[(
5 34
−
) /]
e
e
e
e
e
+
+
+
+
In a similar way, other weight values,
w
4
= 0.236,
w
5
= 0.112 with
i
= 2, 3, 4, 5,
are obtained.
Now, with the weight vector,
⎛
⎞
5
5
∏∏
(
)
w
j
⎜
⎜
w
⎟
⎟
IFHA
w
(,,
aaa
,
…
, )
a
=− −
1
1
μ
,
ν
j
123
n
a
a
σ
()
j
σ
()
j
⎝
⎠
j
=
1
j
=
1
⎡
0 112
.
0 236
.
0 304
.
⎤
(( .
110 734
−−
)
⋅ − ⋅ −
(
104
. )
(
1 0 464
.
)
⎢
⎢
⎢
⎢
⎥
⎥
⎥
⎥
0 236
.
0 112
.
0 112
.
0 236
.
=
⋅−
(
10
405
)
⋅ −
(
10234
.
)
),
0 170
.
⋅
02
.
0 304
.
0 236
.
0 112
.
⋅
0 438
.
⋅
0 682
.
⋅
0 528
.
⎣
⎦
So, IFHA
w
(
a
1
,
a
2
,
a
3
, …,
a
n
) = [0.4571,0.3712].
3.6 Application of Intuitionistic Fuzzy Operators
to Multi-Attribute Decision-Making
Let
A
=
A
1
,
A
2
,
A
3
, …,
A
m
and
B
=
B
1
,
B
2
,
B
3
, …,
B
n
be a set of attributes and ω = (ω
1
,
ω
2
, ω
3
, …, ω
n
)
T
be the weight vector of
B
j
(
j
= 1, 2, 3, …,
n
) with
∑
1
. The
characteristic information of all the '
m
' alternatives is represented by an IFS:
n
ω
j
=
j
=
AB B
=
{(
,(
μν μν μν
,
)),(,(,
)),(,(,
B
)),
…
,(
B
,(
μ
,
ν
))}
i
1
i
1
i
1
2
i
2
i
2
3
i
3
i
3
n
i
nnin
=
{,(,
B
μν
)}
j
ij
ij
Search WWH ::
Custom Search