New Rough Approximations Based on E‐Neighborhoods
Tareq M. Al-shami, Wen Qing Fu, El-Sayed A. Abo-Tabl · Complexity · 2021
This paper puts forward some rough approximations which are motivated from topology. Given a subset R⊆U × U, we can use 8 types of E‐neighborhoods to construct approximations of an arbitrary X⊆U on the one hand. On the other hand, we can also construct approximations relying on a topology which is induced by an E‐neighborhood. Properties of these approximations and relationships between them are studied. For convenience of use, we also give some useful and easy‐to‐understand examples and make a comparison between our approximations and those in the published literature.