An Approach of Proximity in Rough Set Theory

Article type: Research Article

Authors: Tiwari, Surabhi^{; *} | Singh, Pankaj Kumar

Affiliations: Department of Mathematics, Motilal Nehru National Institute of Technology Allahabad, Prayagraj-211004, India. [email protected], [email protected], [email protected]

Correspondence: [*] Address for correspondence: Department of Mathematics, Motilal Nehru National Institute of Technology Allahabad, Prayagraj-211004, India.

Abstract: In this paper, we have constructed topological structures on rough sets by choosing the path of proximity relations on approximation spaces. So, by this virtue of purpose, we have used rough metric to define nearness concept between rough sets. Some basic results have been proved on this new nearness structure named as rough proximity. The study is well supported by examples. Finally, the theory is developed to construct the compactification of a rough proximity space.

Keywords: Rough sets, proximity spaces, grill, ultra filter, cluster, clan

DOI: 10.3233/FI-2019-1802

Journal: Fundamenta Informaticae, vol. 166, no. 3, pp. 251-271, 2019