New Rough Approximations Based on <i>E</i>‐Neighborhoods
Tareq M. Al-shami, W. Fu, El-Sayed A. Abo-Tabl
Abstract
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.
Topics & Concepts
Approximations of πConstruct (python library)MathematicsTopology (electrical circuits)Rough setComputer sciencePure mathematicsApplied mathematicsArtificial intelligenceCombinatoricsProgramming languageRough Sets and Fuzzy LogicAdvanced Numerical Analysis TechniquesImage Retrieval and Classification Techniques