Abstract :
In this paper, we extend the notions of γ-operation introduced in [12], by using the soft ideal notions. We introduce the notions of Ĩ-open soft sets, pre-Ĩ - open soft sets, α-Ĩ-open soft sets, semi-Ĩ-open soft sets and β-Ĩ-open soft sets to soft topological spaces. We study the relations between these different types of subsets of soft topological spaces with soft ideal. We also introduce the concepts of Ĩ-continuous soft, pre-Ĩ-continuous soft, α-Ĩ -continuous soft, semi-Ĩ- continuous soft and β-Ĩ-continuous soft functions and discuss their properties in detail.
Keywords :
Soft set , Soft topological space , Soft interior , Soft closure , Open soft , Closed soft , gamma , operation , tilde , open soft sets , Pre , tilde , open soft sets , alpha , tilde , open soft sets , Semi , tilde , open soft sets , beta , tilde , open soft sets
