− 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