Bab 4: Hasil dan Pembahasan
41
Tabel 4-2: The First Iteration of Squared Matrices of the Evaluation-Criteria
The normalised eigenvector summation, for example: all elements of Evaluation- criteria Project Type, Project Phase, Project Monitoring, and Project Delivery should
always be an absolute value of
‘one’
,
as shown in Table 4-2 and Table 4-3.
Tabel 4-3: The Second-Last Iteration of Squared Matrices of the Evaluation-criteria
There is not a different value between each normalised eigenvector in the first iteration matrix Table 4-2 and the second-last iteration Table 4-3. It means that the
latest iteration matrix Table 4-3 has provided the best result for the eigenvector solution.
4.4.3. Consistency Ratio of the Evaluation-Criteria
The level of inconsistency must be checked to see if the result relating to the relative importance of evaluation-criteria was derived from acceptable consistent matrices.
If the outcomes are considered to be valid, robust enough and makes sense, it should be obtained from consistent or near consistent matrices Ishizaka and Labib, 2009. The
principal eigenvalue is necessary for examining the level of inconsistency of the matrix Saaty, 2008.
Saaty 1977 has calculated the Consistency Index
CI
and Consistency Ratio
CR
using the given
Equation 4
and
Equation 5
below: �� =
� �� − −
Equation 4
Criteria Types
Phases Monitors
Deliveries Row Sum
Eigenvector
Types 4
3.727506 3.337169
4.746318 15.810993
0.243044 Phases
4.292414 4
3.581128 5.093290
16.966831 0.260811
Monitors 4.794483
4.467866 4
5.689034 18.951383
0.291317 Deliveries
3.371034 3.141388
2.812428 4
13.324851 0.204827
Column Sum 16.457931
15.336761 13.730725
19.528642 65.054059
1
Criteria Types
Phases Monitors
Deliveries Row Sum
Eigenvector Changes Ranking
Types 64
59.640103 53.394707
75.941080 252.975890
0.243044 0.00 3rd
Phases 68.678621
64 57.298044
81.492635 271.469299
0.260811 0.00 2nd
Monitors 76.711724
71.485861 64
91.024550 303.222135
0.291317 0.00 1st
Deliveries 53.936552
50.262211 44.998849
64 213.197612
0.204827 0.00 4th
Column Sum 263.326897
245.388175 219.691600
312.458265 1,040.864936
1 0.00
Bab 4: Hasil dan Pembahasan
42 �� =
�� ��
Equation 5 Where,
�� 10 Consistency Ratio less than 10 an acceptable inconsistency of the matrices
�� Random Index
The average random index was randomly generated from reciprocals through analysing a sample size of 500 matrices Ishizaka and Labib, 2009, and this is
provided in Table 4-4.
Tabel 4-4: Random Inconsistency Index RI
The consistency ratio has been calculated following this procedure with given
n= 4
units and
RI= 0.90
, resulting in
CR~0.00 10.
This indicates that the matrices examined are
near perfectly consistent
. Therefore, outcomes are considered valid.
4.5. The Relative Importance of the CSF-Alternatives
