Measuring soft roughness of soft rough sets induced by covering

Abstract

In this chapter, important properties of soft rough sets induced by soft covering have been studied and different examples are mentioned. A measure of soft roughness has been introduced via soft covering approximation. Further, integral properties of the measure have been discussed and an example to show the prominence of the measure has been presented. A New approach of soft rough approximation space has been presented via a measure of soft roughness. Moreover, the concepts of soft lower and soft upper approximations via soft roughness have been mentioned. Finally, essential properties of this new approach have been elaborated.