ČECH ROUGH PROXIMITY SPACES

Authors

  • S. Tiwari Department of Mathematics, Motilal Nehru National Institute of Technology Allahabad, Prayagraj-211004, India Author
  • P. K. Singh Department of Mathematics, Motilal Nehru National Institute of Technology Allahabad, Prayagraj-211004, India Author

Keywords:

Rough sets, proximity spaces, closure space

Subjects:

54A05, 54A10, 54C60, 54E05, 54E17

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.

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Published

2020-01-15

Issue

Vol. 72 No. 1 (2020): Vol. 72, Issue 1

Section

Articles

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This work is licensed under a Creative Commons Attribution 4.0 International License.