Topological Extensions of Rough Approximation Spaces
A.S. Salama, O. G. Elbarbary
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.
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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Taxonomy
TopicsRough Sets and Fuzzy Logic · Statistical and Computational Modeling · Advanced Numerical Analysis Techniques