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

Defining and investigating new soft ordered maps by using soft semi open sets AbstractHere, 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Universitatis Sapientiae, Mathematica de Gruyter

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

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Publisher
de Gruyter
Copyright
© 2021 Tareq M. Al-shami, published by Sciendo
eISSN
2066-7752
DOI
10.2478/ausm-2021-0008
Publisher site
See Article on Publisher Site

Abstract

AbstractHere, 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.

Journal

Acta Universitatis Sapientiae, Mathematicade Gruyter

Published: Aug 1, 2021

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

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