Abstract

In the current work, we define soft λ-continuous, soft λ-open, soft λ-closed and soft λ-homeomorphism maps via soft topological ordered spaces, where λ ∈ {I,D,B}. The relationships among these soft maps are shown with the help of examples and their main properties are studied. In this regard, the equivalent conditions for each one of these soft maps are investigated, and an enough condition for the equivalent between soft λ-open and soft λ-closed maps is given for each λ. Also, we discuss the interrelations between these soft maps and their counterparts on topological ordered spaces and clarify a significant role of extended soft topologies in this point. In the end, we point out under what conditions the initiated soft maps preserve some soft ordered separation axioms, and conclude the behaviors of these soft maps under some compositions.