Article ID: | iaor20112778 |
Volume: | 211 |
Issue: | 3 |
Start Page Number: | 586 |
End Page Number: | 593 |
Publication Date: | Jun 2011 |
Journal: | European Journal of Operational Research |
Authors: | Kao Chiang, Lin Pei-Huang |
Keywords: | fuzzy sets |
Qualitative factors are difficult to mathematically manipulate when calculating the efficiency in data envelopment analysis (DEA). The existing methods of representing the qualitative data by ordinal variables and assigning values to obtain efficiency measures only superficially reflect the precedence relationship of the ordinal data. This paper treats the qualitative data as fuzzy numbers, and uses the DEA multipliers associated with the decision making units (DMUs) being evaluated to construct the membership functions. Based on Zadeh’s extension principle, a pair of two‐level mathematical programs is formulated to calculate the