Data envelopment analysis method based on poset theory

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.