Proceedings of the 3rd European Conference on Intellectual Capital

Constantin Bratianu et al.
setting priorities for <strong>the</strong> criteria, pair wise comparisons are also made ratings <strong>the</strong>mselves to set
priorities for <strong>the</strong>m under each criterion and dividing each <strong>of</strong> <strong>the</strong>ir priorities by <strong>the</strong> largest rated intensity
to get <strong>the</strong> ideal intensity. Finally, alternatives are scored by checking <strong>of</strong>f <strong>the</strong>ir respective ratings under
each criterion and summing <strong>the</strong>se ratings for all criteria. For <strong>the</strong> example considered in <strong>the</strong> section
above, <strong>the</strong> first two pairwise comparison matrices are given in Tables 1 and 2.
Table 1: The pairwise comparison matrix C
Absolute judgments amongst criteria C1 C2 C3
C1 1 6 0.25
C2 0.166 1 0.166
C3 4 6 1
A1,A2,A3,A4
Table 2: The pairwise comparison matrix C1
Absolute judgments amongst alternatives A1, A2, A3 ,A4 with respect to
Criterion 1
A1 A2 A3 A4
A1 1 0.125 0.125 0.2
A2 8 1 0.142 5
A3 8 7 1 8
A4 5 0.2 0.125 1
The correspondent vector <strong>of</strong> priorities for <strong>the</strong> C matrix calculated as briefly presented above is given
by any column in <strong>the</strong> above normalized matrix, as presented in Table 3.
Table 3: Vector <strong>of</strong> priorities for <strong>the</strong> pairwise comparison matrix C
Vector <strong>of</strong> priorities for <strong>the</strong> pairwise comparison matrix C
C1
C2
C3
0.20736
0.09572
0.69691
The interpretation is that, in <strong>the</strong> view <strong>of</strong> <strong>the</strong> particular person who answered <strong>the</strong> survey, <strong>the</strong> prevalent
criterion determining <strong>the</strong> increase in <strong>the</strong> level <strong>of</strong> organizational knowledge is <strong>the</strong> strategy for reducing
knowledge loss, corresponding to C3, since it has <strong>the</strong> highest value: 0.69691. Second in this line <strong>of</strong>
reasoning is <strong>the</strong> strategy for increasing knowledge creation , corresponding to C2 with a value in <strong>the</strong>
associated vector <strong>of</strong> priorities <strong>of</strong> 0.20736 and <strong>the</strong> least important criterion would be to <strong>the</strong> strategy <strong>of</strong>
increasing acquisitions <strong>of</strong> new knowledge , corresponding to C2, with a value <strong>of</strong> 0.095727 in <strong>the</strong>
priority vector. Similarly were determined <strong>the</strong> priority vectors corresponding to <strong>the</strong> pair wise matrices
<strong>of</strong> judgments <strong>of</strong> <strong>the</strong> four alternatives with respect <strong>of</strong> <strong>the</strong> three criteria.In Table 4 is given <strong>the</strong>
corresponding vectors <strong>of</strong> priorities to matrices C1 A1,A2,A3,A4 .
Table 4: Corresponding vector <strong>of</strong> priorities to matrices C1 A1,A2,A3,A4 , C2 A1,A2,A3,A4 , C3 A1,A2,A3,A4
Vector <strong>of</strong> priorities corresponding
to matrix C1 A1,A2,A3,A4 1
Vector <strong>of</strong> priorities corresponding
to matrix C2 A1,A2,A3,A4 1
Vector <strong>of</strong> priorities corresponding
to matrix C3 A1,A2,A3,A4 1
A1 0.07536 0.67814 0.03784
A2 0.12651 0.15191 0.35230
A3
A4
0.70623 0.09432 0.10885
0.09188 0.07561 0.50099
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