Fuzzy assessment of performance of a decision making units using DEA: A non-radial approach

Data Envelopment Analysis (DEA) is recognized as a modern approach to the assessment of performance of a set of homogeneous Decision Making Units (DMUs) that use similar sources to produce similar outputs. While DEA commonly is used with precise data, recently several approaches are introduced for evaluating DMUs with uncertain data. In the existing approaches many information on uncertainties are lost. For example in the defuzzification, the αα-level and fuzzy ranking approaches are not considered. In the tolerance approach the inequality or equality signs are fuzzified but the fuzzy coefficients (inputs and outputs) are not treated directly.The purpose of this paper is to develop a new model to evaluate DMUs under uncertainty using Fuzzy DEA and to include αα-level to the model under fuzzy environment. An example is given to illustrate this method in details.