Example: The Fighter Aircraft Problem – ELECTRE

Fighter Aircraft Problem
 

Criteria	f1	f2	f3	f4	f5	f6
weights	0.2	0.1	0.1	0.1	0.2	0.3

1. Normalised Decision Matrix
 

0.4671	0.3662	0.5056	0.5063	0.4811	0.6708
0.5839	0.6591	0.4550	0.5983	0.2887	0.3727
0.4204	0.4882	0.5380	0.4143	0.6736	0.521117
0.5139	0.4392	0.5056	0.4603	0.4811	0.3727

2. Weighted normalised Decision Matrix
 

0.0934	0.0366	0.0506	0.0962	0.0962	0.2012
0.1168	0.0659	0.0455	0.0598	0.0577	0.1118
0.0841	0.0488	0.0531	0.0414	0.1347	0.1565
0.1028	0.0439	0.0506	0.0460	0.0962	0.1118

3. Concordance and Discordance Sets
(Remember f₄ is minimal criterion.)
 

C	12	3 4 5 6	D	12	1 2
C	13	1 6	D	13	2 3 4 5
C	14	3 5 6	D	14	1 2 4
C	21	1 2	D	21	3 4 5 6
C	23	1 2	D	23	3 4 5 6
C	24	1 2 6	D	24	3 4 5
C	31	2 3 4 5	D	31	1 6
C	32	3 4 5 6	D	32	1 2
C	34	2 3 4 5 6	D	34	1
C	41	1 2 3 4 5	D	41	6
C	42	3 4 5 6	D	42	1 2
C	43	1	D	43	2 3 4 5 6

4. Concordance Matrix:
 

-	0.7	0.5	0.6
0.3	-	0.3	0.6
0.5	0.7	-	0.8
0.7	0.7	0.2	-

5. Discordance Matrix
 

-	1	0	1
0	-	0	1
0	1	-	1
1	1	0	-

6. Concordance Dominance Matrix
 

-	1	0	1
0	-	0	1
0	1	-	1
1	1	0	-

7. Discordance Dominance Matrix
 

-	1	0	1
0	-	0	0
0	1	-	1
0	1	0	-

8. Aggregate Dominance Matrix E:
 

-	1	0	1
0	-	0	0
0	1	-	1
0	1	0	-

9. Eliminating Less Favourable Alternatives

Hence the first and third column have no ”1” element, A₂ and A₄ are dominated by A₁ and A₃. We say, A₂ and A₄ have been eliminated by ELECTRE method.