DEA model with generalized reference set and its properties

As the reference set in traditional data envelopment analysis(DEA) method is made of all the effective decision-making units,only the information which is compared with effective decision-making units can be gotten by using traditional DEA methods.In fact,the information which is compared with some average units(such as the enrollment mark),low units(such as the tolerable limit) or some special units(such as the selected samples,standards or some specific objects) is needed by decision-maker,while the traditional DEA method cannot provide this kind of information.For solving all above problems,a DEA model with a generalized reference set is given and its corresponding properties are discussed,which includes a basic DEA model with generalized reference set and its corresponding efficiency conception,the meaning of generalized DEA efficiency and the method for judging the generalized DEA efficiency,and the relationship between the DEA method with generali-zed reference set and the traditional method.