Correction in Linear Programming Method for Generating the Most Favorable Weights from a Pairwise Comparison Matrix

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 2008, Wang et al. proposed a linear programming model to determine most desirable weight at the hierarchy process and preserve the ranking model. However, with a violation example we showed that the proposed model does not preserve the ranking, because of substantial problem in their model relevant to ignoring the fourth principle of hierarchy analysis process. Therefore, in the current research a new evaluation process including a new option has been done to save the rank in Wang et al.'s linear programming model.