some particular aspects concerning electre method applications

P gh
=
Table no.8. Equivalence matrix (P gh = )
A 1 A 2 A 3 A 4 A 5
A 1 X 0 0 0 0,1
A 2 0 X 0 0 0
A 3 0 0 X 0 0,2
A 4 0 0 0 X 0
A 5 0,1 0 0,2 0 X
For example, the classification for the threshold values: c= 0,5; d = 0,5 is
presented in the table no.9.
Table no.9. ELECTRE II
A(0,5; 0,5) A 1 A 2 A 3 A 4 A 5 Classif.
A 1 X Yes Yes No No I
A 2 No X Yes No No II
A 3 Yes No X Yes No I
A 4 No No Yes X Yes I
A 5 No No No No X III
The mild classification can be achieved for the pair c=0,5; d=0,6. This contains,
more, overtaking relationships: A 3 P A 1 ; A 5 P A 3 .
The tough overtaking drive us to un inserting result, because three alternatives are
equally.
The second classification decides for alternative A 3 , which realizes the overtaking
of A 1 .
ELECTRE IV: It compares the indicators’ value c gh and c hg , respective d gh and
d hg , alternative which are satisfying the both comparing, being better than other. Thus, we
can constat :
c 12 >c 21 ; d 12 >d 21 , as a consequence we can’t satisfy the both relations for each
relations between the alternatives;
c 13 =c 31 ; d 13 >d 31 , alternative A 3 are satisfying at limits the conditions, so it
overtakes the A 1 alternative;
c 15 < c 51 ; d 15 =d 51 = 1,0 in this case not even one of the alternatives can be declared
eligible. The overtaking matrix is show in the table no.10.
Table no.10. ELECTRE IV
ELECTRE IV A 1 A 2 A 3 A 4 A 5 Classif.
A 1 X No No Yes No II
A 2 No X Yes No No II
A 3 Yes No X No No II
A 4 No No Yes X Yes I
A 5 No Yes No No X II
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