# Topological Extensions of Rough Approximation Spaces

## TL;DR

This paper extends Pawlak rough approximation spaces with topological concepts, introduces new measures for approximation quality, and demonstrates an application in data reduction for information systems.

## Contribution

It introduces topological extensions to rough approximation spaces, along with new measures and an application in data reduction.

## Key findings

- Extended rough measures of accuracy and quality
- Application in data reduction of information systems
- Theoretical framework combining topology and rough sets

## Abstract

In this work, we Extend Pawlak approximation spaces by topological spaces. Also, Rough Membership, equality and inclusion relations are extended using topological near open sets. In addition, new extended measures of accuracy and quality of approximations are defined and studied. An application example of data reduction of information systems is introduced.

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Source: https://tomesphere.com/paper/1902.01770