TY - JOUR
T1 - A multi-objective slack based measure of efficiency model for weight derivation in the analytic hierarchy process
AU - Mirhedayatian, Seyed Mostafa
AU - Jafarian, Mostafa
AU - Saen, Reza Farzipoor
PY - 2011
Y1 - 2011
N2 - The DEAHP which is a Data Envelopment Analysis (DEA) model for weight derivation in the Analytic Hierarchy Process (AHP), has been found to have some fundamental drawbacks. The principal drawback of DEAHP is that it is only powerful in weight generation for completely consistent pairwise comparison matrices but it may generate illogical and counterintuitive weights for matrices with acceptable consistency ratio. In this paper, a multi objective non-radial DEA model is proposed for weight derivation and aggregation in AHP. It will be shown that the proposed model generates true weights for completely consistent pairwise comparison matrices in addition to producing logical weights for matrices with satisfactory consistency ratio. The proposed model is applied in a hierarchical structure in order to verify its performance in weight generation and aggregation. Finally, the local weights vector for a large scale pairwise comparison matrix is obtained.
AB - The DEAHP which is a Data Envelopment Analysis (DEA) model for weight derivation in the Analytic Hierarchy Process (AHP), has been found to have some fundamental drawbacks. The principal drawback of DEAHP is that it is only powerful in weight generation for completely consistent pairwise comparison matrices but it may generate illogical and counterintuitive weights for matrices with acceptable consistency ratio. In this paper, a multi objective non-radial DEA model is proposed for weight derivation and aggregation in AHP. It will be shown that the proposed model generates true weights for completely consistent pairwise comparison matrices in addition to producing logical weights for matrices with satisfactory consistency ratio. The proposed model is applied in a hierarchical structure in order to verify its performance in weight generation and aggregation. Finally, the local weights vector for a large scale pairwise comparison matrix is obtained.
KW - Data envelopment analysis
KW - DEAHP
KW - MOLP
KW - Slacks based measure
KW - Weight derivation
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U2 - 10.3923/jas.2011.3338.3350
DO - 10.3923/jas.2011.3338.3350
M3 - Article
AN - SCOPUS:81455136777
SN - 1812-5654
VL - 11
SP - 3338
EP - 3350
JO - Journal of Applied Sciences
JF - Journal of Applied Sciences
IS - 19
ER -