36
B. Uzun et al.
In different words, the
d
value is obtained through multiplying the whole of the
components of the D matrix with 1/m(m−1).
The components of the matrix G (g kl ) moreover take the esteem 1 or 0 as seen in
Eq. (5.14), and there is no value on its diagonal as it shows similar decision points.
If:
g kl =
1, i f d kl ≥ d
0, i f d kl < d
(5.14)
Step 7 Creation of Total Dominance Matrix (E)
Elements of the entire dominance matrix (E) are equal to the cross product of f kl
and g kl components as appeared inside the equation underneath. Here, the matrix E
is m × m-sized relying on the networks C and D, and it comprises of 1 or 0 values.
Step 8 Determining the Importance Order of Decision Points
The rows and columns of lattice E appear decision points. For illustration, E matrix
is calculated as follows,
E =
⎡
⎣
− 0 1
1 − 0
0 0 −
⎤
⎦
(5.15)
e 21 = 1, e 13 = 1. This appears the supreme predominance of the 2-nd choice over
the 1-th choice, and absolute predominance of the 1-th choice over the 3-th choice.
In this case, in case A i (i = 1, 2, 3) indicates the decision points, the significance
arrange will be decided as A 2 , A 1 and A 3 .
References
Alper D, Ba¸ sdar C (2017) A comparison of TOPSIS and ELECTRE methods: an application on the
factoring industry. Bus Econ Res J 8(3):627–646
Dodgson JS, Spackman M, Pearman AD, Phillips LD (2020) (PDF) Multi-criteria analysis: a manual
[Online] Available at https://www.researchgate.net/publication/30529921_Multi-Criteria_Ana
lysis_A_Manual . Accessed 20 October 2020
Fei L, Xia J, Feng Y, Liu L (2019) An ELECTRE-based multiple criteria decision making method
for supplier selection using dempster-shafer theory. IEEE Access 7:84701–84716
Figueira J, Greco S, Ehrgott M (2005) Multiple criteria decision analysis: state of the art surveys.
New York: Springer Science + Business Media, Inc. ISBN 0-387-23081-5
Roy B (1968) Classement et choix en présence de points de vue multiples. Revue Française
D’informatique Et De Recherche Opérationnelle 2(8):57–75. https://doi.org/10.1051/ro/196802
v100571
B. Uzun et al.
In different words, the
d
value is obtained through multiplying the whole of the
components of the D matrix with 1/m(m−1).
The components of the matrix G (g kl ) moreover take the esteem 1 or 0 as seen in
Eq. (5.14), and there is no value on its diagonal as it shows similar decision points.
If:
g kl =
1, i f d kl ≥ d
0, i f d kl < d
(5.14)
Step 7 Creation of Total Dominance Matrix (E)
Elements of the entire dominance matrix (E) are equal to the cross product of f kl
and g kl components as appeared inside the equation underneath. Here, the matrix E
is m × m-sized relying on the networks C and D, and it comprises of 1 or 0 values.
Step 8 Determining the Importance Order of Decision Points
The rows and columns of lattice E appear decision points. For illustration, E matrix
is calculated as follows,
E =
⎡
⎣
− 0 1
1 − 0
0 0 −
⎤
⎦
(5.15)
e 21 = 1, e 13 = 1. This appears the supreme predominance of the 2-nd choice over
the 1-th choice, and absolute predominance of the 1-th choice over the 3-th choice.
In this case, in case A i (i = 1, 2, 3) indicates the decision points, the significance
arrange will be decided as A 2 , A 1 and A 3 .
References
Alper D, Ba¸ sdar C (2017) A comparison of TOPSIS and ELECTRE methods: an application on the
factoring industry. Bus Econ Res J 8(3):627–646
Dodgson JS, Spackman M, Pearman AD, Phillips LD (2020) (PDF) Multi-criteria analysis: a manual
[Online] Available at https://www.researchgate.net/publication/30529921_Multi-Criteria_Ana
lysis_A_Manual . Accessed 20 October 2020
Fei L, Xia J, Feng Y, Liu L (2019) An ELECTRE-based multiple criteria decision making method
for supplier selection using dempster-shafer theory. IEEE Access 7:84701–84716
Figueira J, Greco S, Ehrgott M (2005) Multiple criteria decision analysis: state of the art surveys.
New York: Springer Science + Business Media, Inc. ISBN 0-387-23081-5
Roy B (1968) Classement et choix en présence de points de vue multiples. Revue Française
D’informatique Et De Recherche Opérationnelle 2(8):57–75. https://doi.org/10.1051/ro/196802
v100571