Proceedings of the 3rd European Conference on Intellectual Capital

Constantin Bratianu et al.
5. a) Given <strong>the</strong> criterion (C1), what do you think is more important: hiring new valuable human
resources (A1) or creating a performing motivation for <strong>the</strong> employees (A3)? [A3]
b) Please indicate, on a scale from 1 to 9 to what extent you consider your previous choice is more
important than <strong>the</strong> o<strong>the</strong>r one. [8]
6. a) Given <strong>the</strong> criterion (C1), what do you think is more important: hiring new valuable human
resources (A1) or purchasing books, journals, s<strong>of</strong>tware programs and o<strong>the</strong>r informative materials (A4)
? [A4]
b) Please indicate, on a scale from 1 to 9 to what extent you consider your previous choice is more
important than <strong>the</strong> o<strong>the</strong>r one. [5]
7. a) Given <strong>the</strong> criterion (C1), what do you think is more important: developing training programs (A2)
or creating a performing motivation for <strong>the</strong> employees (A3) ? [A3]
b) Please indicate, on a scale from 1 to 9 to what extent you consider your previous choice is more
important than <strong>the</strong> o<strong>the</strong>r one. [7]
8. a) Given <strong>the</strong> criterion (C1), what do you think is more important: developing training programs (A2)
or purchasing books, journals, s<strong>of</strong>tware programs and o<strong>the</strong>r informative materials (A4)? [A2]
b) Please indicate, on a scale from 1 to 9 to what extent you consider your previous choice is more
important than <strong>the</strong> o<strong>the</strong>r one. [5]
9. a) Given <strong>the</strong> criterion (C1), what do you think is more important: developing creating a performing
motivation for <strong>the</strong> employees (A3) or purchasing books, journals, s<strong>of</strong>tware programs and o<strong>the</strong>r
informative materials (A4)? [A3]
b) Please indicate, on a scale from 1 to 9 to what extent you consider your previous choice is more
important than <strong>the</strong> o<strong>the</strong>r one.[8]
Similar questions as those from 4 to 9 are establishing comparisons among alternatives A1 to A4 with
respect to <strong>the</strong> next two criteria, C2 and C3 , so that a total <strong>of</strong> 21 questions are used as a base for
establishing decision matrices associated with one respondent .
4.3 The pairwise comparison matrix for one individual’s answers, vector <strong>of</strong> priorities
and <strong>the</strong> interpretation <strong>of</strong> <strong>the</strong> results obtained in <strong>the</strong> classical framework <strong>of</strong> <strong>the</strong>
AHP
Paired comparison judgments in <strong>the</strong> AHP are applied to pairs <strong>of</strong> homogeneous elements and
summarized in a matrix <strong>of</strong> judgments. Scoring is applied to rank <strong>the</strong> three alternatives in terms <strong>of</strong> each
<strong>of</strong> <strong>the</strong> three criteria considered (Agapie, 2010; Bratianu et all., 2010). Based on this survey, four
matrices <strong>of</strong> judgments are built, for every respondent. First matrix, denoted with C, C=(cij)i,j=1,2,3
,corresponds to <strong>the</strong> comparisons among <strong>the</strong> three criteria(C1, C2 and C3) and it is a positive,
reciprocal one (cij>0, cij=1/cji ,i,j=1,2,3 and i≠j) with ones on <strong>the</strong> main diagonal (cii=1, i=1,2,3). If
criterion C1 is considered to be 6 times more important than criterion C2 <strong>the</strong>n we write C1 > 6 C2 and
we assign c12=5. Thus, <strong>the</strong> matrix <strong>of</strong> judgments-C- is determined assuming values equal to one on <strong>the</strong>
main diagonal and also reversibility <strong>of</strong> <strong>the</strong> preferences-so that if C1 is preferred to C2 at a
corresponding absolute value <strong>of</strong> 6, <strong>the</strong> C2 criterion will be preferred to C1 at an absolute value <strong>of</strong> 1/6,
which is 0.166 (c21=0.166). The next three matrices are corresponding to <strong>the</strong> choices done among <strong>the</strong>
alternatives A1, A2, A3 ,A4 from three points <strong>of</strong> view: <strong>the</strong> strategy for increasing knowledge creation
(C1), <strong>the</strong> strategy <strong>of</strong> increasing acquisitions <strong>of</strong> new knowledge (C2) and <strong>the</strong> strategy for reducing
knowledge loss (C3.).These matrices are denoted C1 A1,A2,A3,A4 and respectively C2 A1,A2,A3,A4 , C3 A1,A2,A3,A4
For all this four matrices, <strong>the</strong> corresponding vector <strong>of</strong> priorities is calculated in an eigenvalue
formulation. The solution is obtained by raising <strong>the</strong> matrix to a sufficiently large power, <strong>the</strong>n summing
over <strong>the</strong> rows and normalizing to obtain <strong>the</strong> priority vector. The process is stopped when <strong>the</strong>
difference between components <strong>of</strong> <strong>the</strong> priority vector obtained at <strong>the</strong> k-th power and at <strong>the</strong> (k+1)
power is less than some predetermined small value. The vector <strong>of</strong> priorities is <strong>the</strong> derived scale
associated with <strong>the</strong> matrix <strong>of</strong> comparisons (Saaty,1994; Saaty, 2009; Saaty & Louis, 2001). After
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