− First of all, we focused on soft β-open sets, soft β-closed sets, soft β-interior and soft β-closureover the soft topological space and investigated some properties of them. Secondly, we defined the conceptssoft β-continuity, soft β-irresolute and soft β-homeomorphism on soft topological spaces. We also obtainedsome characterizations of these mappings. Finally, we observed that the collection Sβr-h(X, τ, E) was a softgroup