Data envelopment analysis method based on poset theory
Wei Min Cui · Systems engineering and electronics · 2013
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.