CHARACTERIZATION OF b-OPEN SOFT SETS IN SOFT TOPOLOGICAL SPACES

Year 2015, Issue: 2, 8 - 18, 01.03.2015

S. A. El-sheikh A. M. Abd El-latif

Abstract

− In this paper, a new class of open soft sets in a soft topological space, called b-open softsets, is introduced and studied. Moreover, the relations this class and these different types of subsetsof soft topological spaces, which introduced in [9], is studied. In particular, this class is contained inthe class of β-open soft sets and contains the classes of open soft sets, pre open soft sets, semi opensoft sets and α-open soft sets. Also, the authors introduce the concept of b-continuous soft functionsand study some of their properties in detail. As a consequence the relations of some soft continuitiesare shown in a diagram

Keywords

− Soft set, Soft topological space, Pre-open soft set, α-open soft set, Semi-open soft set, β-open soft set, b-open soft sets