Abstract

Topology is a strong root for constructs that can be helpful to enrich the original model of approximation spaces. This paper introduces closure spaces on rough sets via a proximity relation on approximation spaces. We have used rough proximity to define the nearness between rough sets. Some results have been proved in this advanced nearness structure named Čech rough proximity. Examples are given to illustrate the proposed approach. Finally, an application of the theory is presented to demonstrate the fruitfulness of this new structure.

Keywords: Rough sets; proximity spaces; closure space.

MSC: 54A05, 54A10, 54C60, 54E05, 54E17

Pages:  6--16     

Volume  72 ,  Issue  1 ,  2020