Rough action on topological rough groups
Keywords:rough groups, topological rough groups, topological rough subgroups, product of topological rough groups, topological rough group homomorphisms, topological rough group homeomorphisms, topologically rough homogeneous spaces, rough kernel
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.
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