The incidence model based on the included angle of vectors and its extension

摘要

For the deficiency of the incidence model, the incidence model based on the included angle of vectors is presented and is extended to the panel data. In order to describe the incidence between the sequences, which is projected to n-dimensional vector. The included angle of vectors reacts the difference of the sequences in similarity. The incidence model based on the included angle of vectors is defined, and the properties of normalization and symmetry is satisfied also. The new model is closer to the reality by comparison with the existing incidence model. On the basis of the same theory, the grey incidence coefficient based on panel data is presented, and the degree of incidence model based on panel data is obtained also. In the end, an example is given to verify the rationality and the validity of the incidence model based on panel data.