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Topological Extensions of Rough Approximation Spaces

2019/02/05 by A.S. Salama, Salama, A. S., O. G. Elbarbary +1
Computer Science · Engineering · #Advanced Numerical Analysis Techniques #FOS: Mathematics #General Topology (math.GN) #Rough Sets and Fuzzy Logic #Statistical and Computational Modeling

paper · pdf · doi:10.48550/arxiv.1902.01770

openalex publication_date 2019/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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