Rough action on topological rough groups
Alaa Altassan, Nof T. Alharbi, Hassen Aydi, Cenap Özel · Applied General Topology · 2020
In this paper we explore the interrelations between rough set theory and group theory. To this end, we first define a topological rough group homomorphism and its kernel. Moreover, we introduce rough action and topological rough group homeomorphisms, providing several examples. Next, we combine these two notions in order to define topological rough homogeneous spaces, discussing results concerning open subsets in topological rough groups.