Properties of Soft Semi-open and Soft semi-closed Sets

Abstract

Molodstov[10] introduced soft set theory as a new mathematical approach for solving problems having uncertainties. Many researchers worked on the findings of structures of soft set theory and applied to many problems having uncertainties. Recently, Bin Chen [3-4] introduced and explored the properties of soft semi-open sets and soft-semi-closed sets in soft topological spaces. In this paper we continue to investigate the properties of soft semi-open and soft semi-closed sets in soft topological spaces. We define soft semi-exterior, soft semi-boundary, soft semi-open neighbourhood and soft semi-open neighbourhood systems in soft topological spaces. Moreover we discuss the characterizations and properties of soft semi-interior, soft semi-exterior, soft semi-closure and soft semi-boundary. We also develop the relationship between soft semi-clopen sets and soft semi-boundary. The addition of this topic in literature will strengthen the theoretical base for further applications of soft topology in decision analysis and information systems.