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Title
Using Cross Efficiency with Symmetric Weights for the Method DEAHP
Type of Research Article
Keywords
Data Envelopment Analysis, Analytical Hierarchy Process, Weight Restrictions, Symmetric Weights
Abstract
Data envelopment analysis (DEA) is a useful tool to measure and recognize the effectiveness and performance of decision-making units. On the other hand, analytical hierarchy process (AHP) is a useful tool in the field of multi-criteria decision-making problems (MCDA) and it can be helpful to rank the set of options with distinct criteria and choose the best or most appropriate option among them. In 2004, a hybrid method so-called DEAHP was resulted from AHP and DEA methods proposed or suggested by Ramanatan through which the relative weights of options and criteria can be obtained from the matrix of paired comparisons. However, the weights generated by DEAHP may be quite irrational even wrong for a highly inconsistent pairwise comparison matrix. With a violation example we showed that the proposed model does not preserve the ranking. Therefore, in the current research we use the symmetric weights for a more logical choice of criteria and options.
Researchers sara Hosseienpour (First Researcher)، jafar pourmahmoud (Second Researcher)