Defining and investigating new soft ordered maps by using soft semi open sets

Abstract

Here, we employ soft semi open sets to define new soft ordered maps, namely soft x-semi continuous, soft x-semi open, soft x-semi closed and soft x-semi homeomorphism maps, where x denotes the type of monotonicity. To show the relationships among them, we provide some illustrative examples. Then we give complete descriptions for each one of them. Also, we investigate “transmission” of these maps between soft and classical topological ordered spaces.

Keywords

• soft i(d, b)-semi continuous map
• soft i(d, b)-semi open map
• soft i(d, b)-semi closed map
• soft i(d, b)-semi homeomorphism map
• 54f05
• 54f15