Abstract

In this study, the process of efficiency measurement is tackled using multi-attribute decision-making (MADM) processes where a sequential algorithm is proposed. The framework of the study is based on two main stages; first, the data envelopment analysis (DEA), separately formulating each pair of units, formulates the department evaluation problem. DEA is a nonparametric multiple criteria method; no production, cost, or profit function is estimated from the data. In the second stage, the pair-wise evaluation matrix generated in the first stage is utilized to fully rank-scale the units via the fuzzy analytical hierarchical process (FAHP). The FAHP method adopted here uses triangular fuzzy numbers (TFN). Inability of AHP to deal with the impression and subjectiveness in the pair-wise comparison process has been improved in Fuzzy AHP. Instead of a crisp value, Fuzzy AHP a range of value to incorporate the decision maker’s uncertainly.

Key words: Data envelopment analysis (DEA), fuzzy analytical hierarchy process (FAHP), triangular fuzzy numbers (TFN), multi criteria decision-making (MCDM), multi-attribute decision-making (MADM), fully-rank.