Efficiency Measurement for Hierarchical Network Systems Using Network DEA and Intuitionistic Fuzzy ANP

Abstract

According to the high importance of the university in the growth and development of the country, the efficiency 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 Decision-making units (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 Analytic Network Process (IFANP) and Network DEA (NDEA) technique to evaluate the efficiency of the faculty of basic sciences of Islamic Azad University. IFANP 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 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.

Comprehensive intuitionistic fuzzy network data envelopment analysis incorporating undesirable outputs and shared resources

“…Mohammadi Ardakani et al [32] developed the best and worst relative returns two-stage DEA models within IF inputs/outputs based on cut and cut approaches. Shariatmadari Serkani et al [33] proposed a hybrid intuitionistic fuzzy analytic and network DEA model to measure the relative efficiency of the Faculty of Basic Sciences of Islamic Azad University. Only a few research papers examine network two-stage DEA in an intuitionistic fuzzy environment.…”

Ranking Agility Factors to Reliably Sustain a Green Industrial Supply Chain Using the Fuzzy Analytic Network Process and Ordinal Priority Approach

“…Satty proposed the analytic hierarchy process (AHP), a highly comprehensive process for MADM. This method can also determine the compatibility or incompatibility of decisions [34]. The ANP method is the general structure of the AHP.…”