The issue of reducts is the basic issue in any rough set model. In the article, we present the notion of the reduct in a pythagorean fuzzy covering table (i.e., pythagorean fuzzy β-covering approximation space (PFCAS)). Moreover, we add and remove several objects of the universe to compute reducts of them. First, the definitions of the PFCAS and it’s reduct are presented. Then, two new PFCASs are proposed when we add and remove some objects from the original universe. Finally, several properties of reducts in pythagorean fuzzy (PF) β-coverings are studied while adding some objects.