32
B. Uzun et al.
5.1 Introduction
ELimination Et Choix Traduisant la REalité (ELECTRE) technique is a multi criteria
decision analysis, which based on the comparison, by criterion putting forward a
preference/indifference of a criteria to another and resulting in an over positioning
matrix (Figueira et al. 2005). It has been presented by the Beneyoun within the mid1960s, and his colleagues at SEMA consultancy company (Roy 1968). Bernard Roy
was called in as a expert and bunch devised the ELECTRE strategy. Because it was
to begin with connected in 1965, the ELECTRE strategy was to select the leading
activity from a given set of activities, but it was soon connected to three fundamental
issues: choosing, positioning and sorting. The strategy got to be more broadly known
when a paper by B. Roy showed up in a French operation research journal.
The ELECTRE strategy is popular for its outranking relations to rank a set of
choices (Dodgson et al. 2020). As an expansion, engineered weight, counting subjective and objective weights, it is developed in result of concordance and no discordance
tests including a particular input preference information. This strategy is considered
to be generally complex strategy, the most reason being that a number of specialized
parameters are considered in this specific strategy additionally the calculation that’s
embraced is marginally complex in comparison (Fei et al. 2019). These strategy
have the advantage of tolerating circumstances of incomparability with subjective
and immense criteria.
The method proceeds to the solution in 8 steps as shown below (Alper and Ba¸ sdar
2017):
Step 1 Obtaining the Decision Matrix (A)
In this step the decision point and the related criteria should be combined in a matrix
form. The alternatives should be presented in raw of the decision matrix and the
criterion should be presented in column of the decision matrix. For example, if there
is m-alternative with n-column, then the decision matrix should be m × n in size as
shown below as A i j where i = 1, 2, . . . , m and j = 1, 2, . . . , n).
A i j =
⎡
⎢
⎣
a 11 · · · a 1n
. . .
. . .
. . .
a m1 · · · a mn
⎤
⎥
⎦
(5.1)
Step 2 Calculating the Standard Decision Matrix (X )
The elements of the Standard Decision Matrix (x i j ) can be calculated by the Formula
below based on the elements of the decision matrix (a i j ).
x i j =
a i j
m
k=1 a
2
k j
(5.2)
B. Uzun et al.
5.1 Introduction
ELimination Et Choix Traduisant la REalité (ELECTRE) technique is a multi criteria
decision analysis, which based on the comparison, by criterion putting forward a
preference/indifference of a criteria to another and resulting in an over positioning
matrix (Figueira et al. 2005). It has been presented by the Beneyoun within the mid1960s, and his colleagues at SEMA consultancy company (Roy 1968). Bernard Roy
was called in as a expert and bunch devised the ELECTRE strategy. Because it was
to begin with connected in 1965, the ELECTRE strategy was to select the leading
activity from a given set of activities, but it was soon connected to three fundamental
issues: choosing, positioning and sorting. The strategy got to be more broadly known
when a paper by B. Roy showed up in a French operation research journal.
The ELECTRE strategy is popular for its outranking relations to rank a set of
choices (Dodgson et al. 2020). As an expansion, engineered weight, counting subjective and objective weights, it is developed in result of concordance and no discordance
tests including a particular input preference information. This strategy is considered
to be generally complex strategy, the most reason being that a number of specialized
parameters are considered in this specific strategy additionally the calculation that’s
embraced is marginally complex in comparison (Fei et al. 2019). These strategy
have the advantage of tolerating circumstances of incomparability with subjective
and immense criteria.
The method proceeds to the solution in 8 steps as shown below (Alper and Ba¸ sdar
2017):
Step 1 Obtaining the Decision Matrix (A)
In this step the decision point and the related criteria should be combined in a matrix
form. The alternatives should be presented in raw of the decision matrix and the
criterion should be presented in column of the decision matrix. For example, if there
is m-alternative with n-column, then the decision matrix should be m × n in size as
shown below as A i j where i = 1, 2, . . . , m and j = 1, 2, . . . , n).
A i j =
⎡
⎢
⎣
a 11 · · · a 1n
. . .
. . .
. . .
a m1 · · · a mn
⎤
⎥
⎦
(5.1)
Step 2 Calculating the Standard Decision Matrix (X )
The elements of the Standard Decision Matrix (x i j ) can be calculated by the Formula
below based on the elements of the decision matrix (a i j ).
x i j =
a i j
m
k=1 a
2
k j
(5.2)