TOPOLOGIES INDUCED BY COVERING SOFT APPROXIMATION SPACE | ||||
| Assiut University Journal of Multidisciplinary Scientific Research | ||||
| Volume 46, Issue 2, December 2017, Page 13-23 PDF (1.08 MB) | ||||
| Document Type: Novel Research Articles | ||||
| DOI: 10.21608/aunj.2017.221416 | ||||
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| 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. | ||||
| Keywords | ||||
| Soft approximation space; Soft rough sets; Soft open sets; Soft closed sets | ||||
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