Formation and application of a new grey incidence degree based on information aggregation

Based on the definition of the stochastic uncertainty number, a new grey incidence degree is proposed and applied in extending service brand. The method expands the application area of the grey incidence degree, and makes two improvements on it. Firstly, a stochastic uncertainty number is defined, which embodies both the characteristic of the stochastic number and convenience for computing; secondly, a new grey incidence degree is constructed based on the stochastic uncertainty number, which overcomes the shortcomings ignoring the information aggregation problem in former studies. In the end, an empirical evaluation of extending service brand is studied to illustrate the use of the new proposed grey incidence degree. The studied results show that the proposed method can not only explore the mechanism of extending service brand dynamically but also show the practicality of the new model.