Some new soft sets in soft ideal topological spaces

Abstract

The concept of soft set was presented as a new mathematical technique for dealing with uncertainty. Further soft set was developed and extended in the topological space to resolve certain complicated problems. We present new concepts such as soft ε-open set, soft εI - open set, soft εs-open set, and soft εsI-open set in this paper. The properties of certain known soft sets, as well as their relationships to them, are investigated. We also describe and analyze soft ε-pu continuous functions as well as their fundamental properties.