Covering Rough Sets in Terms of Topological Bi-Neighbourhoods and Their Applications

Neighbourhoods are one of the important topics in topology that relies on two types neighbours a point and has many applications graph theory sciences medical sciences. In this work, some bi-j-neighbourhoods generalized bicovering approximation space introduced. Moreover, kinds rough sets using relations presented. Some properties these new covering discussed. Pawlaks’ studied case space. More different bi-neighbourhoods such as bi-j-neighbourhoods, complementary bi-j-adhesions investigated. A comparison between bi -neighbourhoods id="M2"> -covering is presented with help counterexamples. Finally, we give an application our results rheumatic fever data information by generated topologies.