In DEA (Data Envelopment Analysis), CCR model, BCC model and FDH model are known as representative models incorporating preference structure of decision makers. These DEA models differ in production possibility set when considering dual problems. In this paper, we formulate dual problem (GDEA
D) to generalized data envelopment analysis (GDEA) and define the concept of “α
D-efficiency” for the problem (GDEA
D). Furthermore, we establish theoretical properties on relationships between GDEA
D, model and existing DEA models. Finally, through a numerical example, we show a dominant relation among decision making units with varying α in the problem (GDEA
D) and interpret an implication of the optimal solution to the problem (GDEA
D).
View full abstract