Information Technology Reference
In-Depth Information
r
(
1
)
ij
r
(
2
)
ij
r
(
s
)
ij
IFPOWG
(
,
,...,
)
s
−
ω
(
k
)
s
−
ω
(
k
)
1
1
ij
s
−
ij
s
−
index
(
k
)
v
index
(
k
)
ij
=
1
(μ
)
,
−
1
(
−
)
,
1
1
1
1
ij
k
=
k
=
s
1
−
ω
(
k
)
ij
s
1
−
ω
(
k
)
ij
v
index
(
k
)
ij
index
(
k
)
1
(
1
−
)
−
1
(μ
)
(1.63)
s
−
1
s
−
1
ij
k
=
k
=
r
(
k
)
ij
to aggregate all the individual intuitionistic fuzzy decisionmatrices
R
(
k
)
=
(
)
m
×
n
(
k
=
1
,
2
,...,
s
)
into the collective intuitionistic fuzzy decision matrix
R
=
(
r
ij
)
m
×
n
, where
r
ij
=
(μ
ij
,
v
ij
,π
ij
)
,
i
=
1
,
2
,...,
m
;
j
=
1
,
2
,...,
n
.
Step 4
See Approach 1.1.
Step 5
See Approach 1.1.
We have introduced two approaches to dealing with multi-attribute group decision
making problems under two different intuitionistic fuzzy situations (i.e., (1) the
weights of experts are known; and (2) the information about the weights of experts
are completely unknown). Both the approaches can take into account sufficiently the
information about the relationships among the arguments being aggregated, and can
reduce the influence of outlier arguments on the decision result by assigning lower
weights to those outliers and thus can make the decision result more reflective of the
total collection of arguments.
1.2.5 Practical Example
Xu (2011) considered a software selection problem in which the alternatives are
the software packages to be selected and the criteria are those attributes under con-
sideration (adapted from Wang and Lee 2009). A computer center in a university
desires to select a new information system in order to improve work productivity.
After preliminary screening, four alternatives
y
j
(
j
=
1
,
2
,
3
,
4
)
have remained in
the candidate list. There are three experts
e
k
(
k
=
1
,
2
,
3
)
from a committee, whose
T
. There are four attributes to be considered:
(1) Costs of hardware/software investment
weight vector is
η
=
(
0
.
4
,
0
.
3
,
0
.
3
)
(
G
1
)
; (2) Contribution to organization
performance
(
G
2
)
; (3) Effort to transform from current systems
(
G
3
)
; and (4) Out-
sourcing software developer reliability
(
G
4
)
. The weight vector of the attributes
T
. The experts
e
k
(
=
,
,
,
)
=
(
.
,
.
,
.
,
.
)
(
=
,
,
)
G
i
i
1
2
3
4
is
w
0
30
0
25
0
25
0
2
k
1
2
3
(
=
,
,
,
)
evaluate the software packages
y
j
j
1
2
3
4
with respect to the attributes
G
i
(
i
=
1
,
2
,
3
,
4
)
, and construct the following three intuitionistic fuzzy decision
b
(
k
)
ij
matrices
B
(
k
)
=
(
(see Tables
1.2
,
1.3
,
1.4
) (Xu 2011).
Among the considered attributes,
G
1
is of cost type, and
G
i
)
4
×
4
(
k
=
1
,
2
,
3
)
are of
benefit type, i.e., the attributes have two different types, and thus, we need to transform
the attribute values of cost type into the attribute values of benefit type by using
(
i
=
2
,
3
,
4
)
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