some particular aspects concerning electre method applications

Table no. 5. Discordance Matrix (d gh )
d gh A i A 2 A 3 A 4 A 5
A i X 0,5 0,5 0,7 1,0
A 2 0,41 X 0,5 1,0 0,7
A 3 0,47 0,6 X 0,5 0,5
A 4 0,8 1,0 0,4 X 0,5
A 5 1,0 0,67 0,53 0,5 X
ELECTRE I: The minimum threshold value of the concordance indicator which
can be totally overtake by an alternative is c = 0,5. The maximal value of the discordance
threshold which can be totally overtake by an alternative is d = 0,6. In table no.6 there
are presented the overtaking relationaships between the alternatives, for this two
threshold values.
Table no.6. ELECTRE I
A (0,5; 0,6) A 1 A 2 A 3 A 4 A 5 Classif.
A 1 X Yes Yes No No II
A 2 No X Yes No No III
A 3 Yes Yes X Yes Yes I
A 4 No No Yes X Yes II
A 5 No No Yes No X III
The classification it made by the summation of the overtaking relationships. The
alternative A 3 is preferates, because this, without have the performances, it is equilibrate,
it not has the majore handicaps and it’s preferates by 1/2 from criterias.
ELECTRE II: The Matrix of concordance indicatores is decomposed in: the
overtaking nett matrix ( P gh + ) and the equivalence matrix (P gh = ), as: u gj > u hj , respective:
u gj =u hj . These two matrix are presented in the tables no.7 and 8.
Table no.7. Overtaking nett matrix (P + gh)
+
P gh A 1 A 2 A 3 A 4 A 5
A 1 X 0,6 0,5 0,5 0,4
A 2 0,4 X 0,5 0,5 0,5
A 3 0,5 0,5 X 0,5 0,3
A 4 0,5 0,5 0,5 X 0,6
A 5 0,5 0,5 0,4 0,4 X
5