THE TOPOLOGICAL STRUCTURE ON SOFT SETS

Soft set theory is a new mathematical tool to deal with uncertain problems. This paper is devoted to investigating relationships between soft sets and topologies. Based on new granulation structures called soft approximation spaces, soft rough approximations are introduced. We give some properties of soft rough approximation. New types of soft sets such as keeping intersection, keeping union and topological soft sets are defined and supported by some illustrative examples. We obtain the topological structure on soft sets and reveal that every topological space on the initial universe is a soft approximating space.