Information Technology Reference
In-Depth Information
Approach 1.2
Step 1 Calculate
Sup r index ( k )
ij
d r index ( k )
ij
r index ( l )
ij
r index ( l )
ij
,
=
1
,
μ
+
1
2
index
(
k
)
index
(
l
)
v index ( k )
ij
v index ( l )
ij
=
1
μ
ij
ij
π
index
(
k
)
index
(
l
)
+
π
(1.59)
ij
ij
which indicates the support of the l th largest IFV r index ( l )
ij
for the k th largest IFV
r index ( k )
ij
of r ( t )
ij
.
Step 2 Calculate the support T r index ( k )
ij
(
t
=
1
,
2
,...,
s
)
of the k th largest IFV r index ( k )
ij
by the
other IFVs r ( l )
ij
(
l
=
1
,
2
,...,
s , and l
=
k
)
:
T r index ( k )
ij
Sup r index ( k )
ij
s
r index ( l )
ij
=
,
(1.60)
l
=
1
l
=
k
ω ( k )
ij
and utilize Eq. ( 1.45 ) to calculate the weight
associated with the k th largest IFV
r index ( k )
ij
, where
D ( k )
ij
TV ij
D ( k 1 )
ij
TV ij
k
ω ( k )
ij
D ( k )
ij
V index ( l )
ij
= g
g
=
l
=
1
T r index ( l )
ij
s
V index ( l )
ij
V index ( l )
ij
TV ij =
,
=
1
+
(1.61)
l
=
1
s , and k = 1 ω ( k )
ω ( k )
ij
where
0
,
k
=
1
,
2
,...,
=
1.
ij
Step 3 Utilize the IFPOWA operator ( 1.44 ):
r ( 1 )
ij
r ( 2 )
ij
r ( s )
ij
IFPOWA
(
,
,...,
)
1
s
s
s
) ω ( k )
) ω ( k )
) ω ( k )
index ( k )
ij
v index ( k )
ij
index ( k )
ij
=
1 (
1
μ
,
1 (
,
1 (
1
μ
ij
ij
ij
k
=
k
=
k
=
s
) ω ( k )
v index ( k )
ij
1 (
(1.62)
ij
k
=
or the IFPOWG operator ( 1.48 ):
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