The traditional data envelopment analysis(DEA)model can evaluate the relative efficiencies of a set of decision making units(DMUs)with exact values of inputs and outputs,but it cannot handle imprecise data.Imprecise data,for example,can be expressed in the form of the interval data or mixtures of interval data and ordinal data.In this study,a cross-efficiency method is introduced into the DEA model to calculate the interval of cross-efficiency values,based on which a new TOPSIS method is proposed to rank the DMUs.Two examples are presented to illustrate and validate the proposed method. The traditional data envelopment analysis (DEA) model can evaluate the relative efficiencies of a set of decision making units (DMUs) with exact values ​​of inputs and outputs, but it can not handle imprecise data. Imprecise data, for example, can be expressed in the form of the interval data or mixtures of interval data and ordinal data. this study, a cross-efficiency method is introduced into the DEA model to calculate the interval of cross-efficiency values, based on which a new TOPSIS method is proposed to rank the DMUs.Two examples are presented to illustrate and validate the proposed method.