Generalized Data Envelopment Analysis Method by Using Sample Units

Traditional DEA method is evaluation method based on a self-assessment system, decision-makers can not choose a frame of reference freely.In order to solve the DEA method can also based on self-assessment system and other frame of reference for evaluation,the concept of the generalized DEA efficiency is presented at first.Then a class of generalized data envelopment analysis models based on the sample units are given,including generalized DEA model for input-oriented and output-oriented situation,and generalized additive DEA model.Finally,the relationship between these models and the traditional DEA models is analyzed,the relationship between the generalized DEA efficiency and corresponding Pareto efficiency of multi-objective programming is explored,and the property of projection and the method of ranking decision making units are given.