SOFT Λβ-CLOSED SETS IN SOFT TOPOLOGICAL SPACES
Authors : Rodyna Ahmed Hosny, Alaa Mohamed Abd El-latif
Pages : 98-105
View : 12 | Download : 7
Publication Date : 2015-08-01
Article Type : Research
Abstract :− In this paper, we introduce the notions of soft β-kernel of soft sets, S∧β-closed sets andS∧β-open sets in soft topological spaces. The concept of S∧β-sets, as a generalization to the classof soft β-open sets, is defined. Some of their fundamental properties that illustrated by examplesare studied. Further, the soft topologies defined by families soft β-kernel of soft sets, S∧β-closedsets are investigated. We show that, the collection of S∧β-sets is Alexandroff soft spaceKeywords : − Soft sets, Soft topology, Soft β-open sets, Soft regular-closed sets, Soft ∧β-sets