Efficiency Decomposition in Multi-Stage Network with Inputs and Desirable and Undesirable Outputs in Data Envelopment Analysis

Document Type : Research Paper


Department of Mathematics, Islamic Azad University, South Tehran Branch, Tehran, Iran


In the previous research, two models were suggested to evaluate the efficiency of decision-making units comprising two and three-stage network structures with ‎desirable and undesirable intermediate measures and outputs‎ and also the proposed models were defined with fuzzy data. In this paper, the mentioned models are improved with ‎a multi-stage network structure. These models are then generalized to evaluate the efficiency of network decision-making units‎. ‎ Finally‎, ‎ a practical example will be presented to show the capability of the proposed model over the previous one.