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In the current study the researchers  have been introduced a modern kind of soft separation axioms which is named i-soft separation axioms by using the concept of soft i-open sets [17] in soft topological spaces, the relations among i-soft separation axioms and many examples about it are investigated. Further, they found that soft separation axioms imply i-soft separation axioms, but, the converses may not be true. Also, many theorems have been proved which are clarified the properties of i-soft separation axioms

In this paper, topological ig-Homeomorphisms and topological gi-Homeomorphisms are introduced. Further, the relations between these two classes and some other classes of Homeomorphisms are investigated.

In the present paper, we introduced a new kind of soft generalized closed sets and soft generalized open sets are called soft generalized αi-closed sets and soft generalized αi-open sets. The relations among these two families and some other kinds of soft sets as like as soft generalized closed, soft generalized i-closed, soft generalized α-closed and soft semi-generalized closed sets are investigated and clarify by proofs and evidences.