Abstract: The model of variable precision coverage rough set was proposed under certain conditions of relaxing coverage standard which yields diversification of the approximation operators, and the change is in certain laws in addition. Afto introducing the concepts on models of coverage rough set and also of variable precision coverage rough set, we proved the relationships of approximation operators between them. That is,we achieved the results in theorem 1，theorem 2 and related corollaries.

Key words: Covering rough set model, Variable precision covering rough set model,βcovering approximation operators,Covering approximation operators,Relations