Abstract:

As the data envelopment analysis (DEA) method has close connection with the poset theory, the introduction of proper partial order relation can further depict decision making units and provide a great help for a better understanding of them. With the introduction of new partial order relation into Charnes-Cooper-Rhoes (C²R) model, the special relationship between DEA efficient, weakly efficient, decision making units and the poset theory is revealed. Furthermore, through the introduced poset, a poset theory based projection method for the decision making units is provided. Finally, to confirm the partial order relation of decision making units in C²R model, the non-dimensional processing and unified methods for inputoutput data are proposed. Some recommendations and hypotheses for the further application and development of these theories are given.