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
 
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