TOPOLOGIES INDUCED BY COVERING SOFT APPROXIMATION SPACE

Document Type : Novel Research Articles

Abstract

The concept of covering is considered as a one of fundamental concepts in
topological spaces for its contribution in the study of many of topological
problems. Our goal in this work is to introduce and study the covering
soft approximation space as a new type of approximation space and inves-
tigating some of its properties. Also, we de ne the topology that induced
by the covering of soft approximation space and some concepts related to
this topology such as neighborhood, closure, connectedness and separation
axioms. Finally we de ne several pairs of soft approximation operations
and investigate the relationship among them.

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Assiut University Journal of Multidisciplinary Scientific Research
Volume 46, Issue 2
December 2017
Pages 13-23

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