English

Topological Extensions of Rough Approximation Spaces

General Topology 2019-08-19 v2

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.

Keywords

Cite

@article{arxiv.1902.01770,
  title  = {Topological Extensions of Rough Approximation Spaces},
  author = {A. S. Salama and O. G. Elbarbary},
  journal= {arXiv preprint arXiv:1902.01770},
  year   = {2019}
}

Comments

13 Pages, 4 Tables

R2 v1 2026-06-23T07:32:39.810Z