The equivalence classes of similarity incidence degree and properties of incidence degree in the quotient space

Abstract

According to the concept of complete correlation, based on similarity incidence degree, it is proved that complete correlation is an equivalence relation. At the same time, the convergence of quotient space under the condition of the classification in this equivalence relation is discussed. And it is proved that the incidence degrees between similarity classes in quotient space are closeness incidence degrees. Finally, a new method of similarity incidence degree deriving the closeness incidence degree is given in this paper.