Rough action on topological rough groups

Alaa Altassan, Nof Alharbi, Hassen Aydi, Cenap Özel


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.


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

Subject classification

22A05; 54A05; 03E25

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Soft Computing  vol: 25  issue: 5  first page: 3441  year: 2021  
doi: 10.1007/s00500-021-05631-6

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