SOFT β-OPEN SETS AND THEIR APPLICATIONS

Year 2015, Issue: 4, 80 - 89, 01.05.2015

Yunus Yumak Aynur Keskin Kaymakcı

Abstract

− 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

Keywords

− Soft sets, Soft topology, Soft β-open sets, Soft β-interior, Soft β-closure, Soft β-continuity