ON NEAR APPROXIMATIONS
Somayeh Khodaii, Seyed Mohammad Anvariyeh, Bijan Davvaz, Saeid Alikhani, S. Mirvakili · Rocky Mountain Journal of Mathematics · 2024
We introduce the concept of a natural transformation on a nearness approximation space. We show that natural transformations and the nearness approximation spaces are categories. Also, we characterize an epimorphism and a monomorphism in these categories. In addition, we prove that the category of a nearness approximation space does not necessarily have a product but for some families of an approximation spaces have a coproduct.