some particular aspects concerning electre method applications

3. Example of ELECTRE methods application
We propose to settle the optimum strategy for a firm, wich has more investment
projects, and its efficiency indicators for macroeconomics conditions (the consequences
matrix), more probable (considerates safes ) are presented in the table no. 2.
Decision C 1
criteria Net Present
C j Value
Alternative [mil. lei]
A I
C 2
Payback
period of
investment
[year]
Table no.2. Consequences Matrix
C 3
C 4
Minimal Life Internal Rate
Cycle of Return
[year] [ % ]
A 1 5.500 ∗ 5,0 ο 3,7 40
A 2 5.000 4,7 4,2 ο 50 ∗
A 3 4.800 4,5 3,6 38
A 4 4.300 4,3 3,0 ∗ 30 ο
A 5 4.000 ο 4,0 ∗ 3,6 40
K j 0,4 0,3 0,2 0,1
Note: it has been marked with * the best solution for the respective criteria and with °
the poor solution for the respective criteria.
We constate that doesn’t exist a solution which can be the best in evidently and a
solution which can be the powerless than all others.
In table no.3. there are calculated the utilities, if the references values X j , Y j
are those from the table no.2, marked with *, respective with °.
C j
Table no.3. Utilities Matrix
A I
C 1 C 2 C 3 C 4 U i Classif.
A 1 1,00 0,00 0,41 0,50 1,91 IV
A 2 0,67 0,30 0,00 1,00 1,97 II
A 3 0,53 0,50 0,50 0,40 1,93 III
A 4 0,20 0,70 1,00 0,00 1,90 V
A 5 0,00 1,00 0,50 0,50 2,00 I
K j 0,4 0,3 0,2 0,1
The concordance and discordance indicators are shown in the table no.4 şi 5.
Table no.4. Concordance Matrix (c gh )
c gh A 1 A 2 A 3 A 4 A 5
A i X 0,6 0,5 0,5 0,5
A 2 0,4 X 0,5 0,5 0,5
A 3 0,5 0,5 X 0,5 0,5
A 4 0,5 0,5 0,5 X 0,6
A 5 0,6 0,5 0,6 0,4 X
4