Rough action on topological rough groups


  • Alaa Altassan King Abdulaziz University
  • Nof Alharbi King Abdulaziz University
  • Hassen Aydi Université de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication ; China Medical University Hospital
  • Cenap Özel King Abdulaziz University



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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Author Biographies

Alaa Altassan, King Abdulaziz University

Department of Mathematics

Nof Alharbi, King Abdulaziz University

Department of Mathematics

Cenap Özel, King Abdulaziz University

Department of Mathematics


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How to Cite

A. Altassan, N. Alharbi, H. Aydi, and C. Özel, “Rough action on topological rough groups”, Appl. Gen. Topol., vol. 21, no. 2, pp. 295–304, Oct. 2020.



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