Rough action on topological rough groups

Author:

Altassan Alaa,Alharbi Nof,Aydi Hassen,Özel Cenap

Abstract

<p>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.</p>

Publisher

Universitat Politecnica de Valencia

Subject

Geometry and Topology

Reference25 articles.

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