Rough action on topological rough groups

• Altassan, Alaa ^[1] ; Alharbi, Nof ^[1] ; Aydi, Hassen ^[2] ; Özel, Cenap ^[1]
  1. [1] King Abdulaziz University

     King Abdulaziz University

     Arabia Saudí

     
  2. [2] University of Sousse

     University of Sousse

     Túnez

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 21, Nº. 2, 2020, págs. 295-304
• Idioma: inglés
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• Resumen

  • 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.