Efficiency measurement for hierarchical network systems using network DEA and intuitionistic fuzzy ANP

Document Type : Research Note


1 Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran

2 Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

3 Department of Mathematics, Shahr-e-Qods Branch, Islamic Azad University, Tehran, Iran


According to the high importance of the university in the growth and development of the country, the evaluation performance of educational and research groups in universities is very important.
The black-box Data Envelopment Analysis (DEA) model is mathematical programming for measuring the relative efficiency of a set of DMUs, without considering the operations of the component processes that may have misleading results. To overcome this defect, network models are recommended. This paper intends to propose a hybrid Intuitionistic Fuzzy Analysis Network Process (IFANP) and Network DEA (NDEA) technique to evaluate the efficiency of the faculty of basic sciences of Islamic Azad University. The IFANP method is used to evaluate the overall weights among all the criteria and sub-criteria and these weights are used in the NDEA model to measure the relative efficiency of a system. The hypothetical example shows that the efficiency of all DMUs is equal to 1 by using the DEA, and there is no ranking between DMUs. The results of the IFANP-NDEA are more meaningful because of the full ranking of DMUs, considering component process operations. Also, it can prioritize efficient DMUs, provide the efficiencies of the DMU’s functions which enables managers to identify areas of weakness.


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