■-distortion data and characteristic-application of ■-distortion data circle

■ -distortion data is a data pair ((x)■,(x)-) composed of ■ -data (x)■ and loss data (x).It has internal dynamic characteristic and can be applied in a class of information system which has loss characteristic of data element.Based on the visualization question of ■ -distortion data,the concept of ■ -distortion data circle is proposed by ■ -distortion data.The geometrical method of identification and recovery for ■ -distortion data is discussed.The paper gives some theorems such as the positional relation theorem,the identification theorem and the recovery theorem of ■ -distortion data by the method of ■ -distortion data circle.Meanwhile,the identification criterion of ■ -distortion data by the method of ■ -distortion data circle and the application are provided. ■ -distortion data circle is a data circle pair (O■,O-) composed of data circle O■ and O. ■ -distortion data circle provides a geometrical method to research ■ -distortion data.