Efficiency measurement for hierarchical network systems by Network DEA-Fuzzy ANP hybrid model
Subject Areas : StatisticsElahe Shariatmadari Serkani 1 * , Farhad Hosseinzadeh Lotfi, 2 , , Esmaeil Najafi 3 * , , Mahnaz Ahadzadeh Namin 4
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 industrial engineering, Science and Research branch, Islamic Azad University, Tehran, Iran
4 - Department of Mathematics, Shahr-e-Qods Branch, Islamic Azad University, Tehran, Iran
Keywords: تحلیل پوششی دادههای شبکهای, کارایی, مجموعه فازی, فرآیند تحلیل شبکه فازی, ساختار سلسهمراتبی,
Abstract :
Universities, like any other organization, urgently need evaluation system to be aware of the desirability of their activities. In this paper, by using a new hybrid model based on the fuzzy set & Analysis Network Process (FANP) and Network Data Envelopment Analysis (NDEA) technique, evaluation of efficiency and ranking is executed. The method is obtaining the weights of the distributed inputs by the FANP model and then using these weights in the NDEA model.Nine basic sciences faculties of Islamic azad university are considered as decision- making units (DMUs) and the efficiency of these DMUs is investigated in both educational and research areas during 2009-2010. In the model the hierarchical structure of the faculty is drawn then groups of mathematical and statistics, biology, chemistry, physics have been studied and input and output indicators are determined. The efficiency of the DMUs is determined by the FANP-NDEA model and classic DEA method and the results are compared with classic DEA. The results of the efficiency calculation using DEA method show the efficiency of each DMUs is equal to one and there is no ranking between the DMUs. Using DEA, DMUs are considered as a black-box where inputs transformed into output, meaning its internal structure is not considered. The FANP-NDEA model is able to consider the total efficiency of the DMU as well as the internal efficiency of the units by considering intermediate products and common inputs. Furthermore, by using this tool, managers can identify potential candidates as the best as best patterns.
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