34
B. Uzun et al.
y 11 > y 21
y 12 > y 22
y 13 < y 23
y 14 = y 24
y 15 < y 25
C 23 = {1, 2, 4}.
(5.7)
In the ELECTRE procedure, for every concordance set, a discordance set exists,
that is the supplement set of the concordance set. The discordance units include the
components j, which aren’t contained inside the comparing concordance set.
In the example, due to the fact that C 23 = {1, 2, 4}, then D 23 = {3, 5}.
When developing the concordance units inside the ELECTRE strategy, the signification and the point of the assessment variables ought to be carefully watched.
For example, if the important assessment figure point is maximization, at that point
Eq. (5.15) will be utilized for the concordance set. However, in case the point of
the assessment is minimization, at that point the circumstance of being inside the
concordance units will be inverse as y k j < y l j
Step 5 Creation of Concordance (C) and Discordance Matrices (D)
Concordance units are utilized for making the concordance matrix (C). Matrix C is
m×m in measure and does now no longer take a esteem wherein k = l. Components
of the lattice C are calculated with the relationship appeared inside the equation
below.
Concordance sets are used for creating the concordance matrix (C). Matrix C is
mxm in size and does not take a value where k = l. Elements of the matrix C are
calculated with the relationship shown in the formula below.
For example, if C 12 = {1, 3} the c 12 element of the matrix C will be calculated as
c 12 = w 1 + w 3 . The matrix C is shown as below:
C =
⎡
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎣
− c 12 c 13 . . . c 1m
c 21 − c 23 . . . c 2m
.
.
.
c m1 c m2 c m3 . . . −
⎤
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎦
(5.8)
The elements of the discordance matrix (D) are calculated by the formula below:
d kl =
max
y k j − y l j
j∈D kl
max
y k j − y l j
∀ j
(5.9)
B. Uzun et al.
y 11 > y 21
y 12 > y 22
y 13 < y 23
y 14 = y 24
y 15 < y 25
C 23 = {1, 2, 4}.
(5.7)
In the ELECTRE procedure, for every concordance set, a discordance set exists,
that is the supplement set of the concordance set. The discordance units include the
components j, which aren’t contained inside the comparing concordance set.
In the example, due to the fact that C 23 = {1, 2, 4}, then D 23 = {3, 5}.
When developing the concordance units inside the ELECTRE strategy, the signification and the point of the assessment variables ought to be carefully watched.
For example, if the important assessment figure point is maximization, at that point
Eq. (5.15) will be utilized for the concordance set. However, in case the point of
the assessment is minimization, at that point the circumstance of being inside the
concordance units will be inverse as y k j < y l j
Step 5 Creation of Concordance (C) and Discordance Matrices (D)
Concordance units are utilized for making the concordance matrix (C). Matrix C is
m×m in measure and does now no longer take a esteem wherein k = l. Components
of the lattice C are calculated with the relationship appeared inside the equation
below.
Concordance sets are used for creating the concordance matrix (C). Matrix C is
mxm in size and does not take a value where k = l. Elements of the matrix C are
calculated with the relationship shown in the formula below.
For example, if C 12 = {1, 3} the c 12 element of the matrix C will be calculated as
c 12 = w 1 + w 3 . The matrix C is shown as below:
C =
⎡
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎣
− c 12 c 13 . . . c 1m
c 21 − c 23 . . . c 2m
.
.
.
c m1 c m2 c m3 . . . −
⎤
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎦
(5.8)
The elements of the discordance matrix (D) are calculated by the formula below:
d kl =
max
y k j − y l j
j∈D kl
max
y k j − y l j
∀ j
(5.9)