Topological Structures of Lower and Upper Rough Subsets in a Hyperring

Author:

Abughazalah Nabilah1ORCID,Yaqoob Naveed2ORCID,Shahzadi Kiran2

Affiliation:

1. Mathematical Sciences Department, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

2. Department of Mathematics and Statistics, Riphah International University, I-14, Islamabad, Pakistan

Abstract

In this paper, we study the connection between topological spaces, hyperrings (semi-hypergroups), and rough sets. We concentrate here on the topological parts of the lower and upper approximations of hyperideals in hyperrings and semi-hypergroups. We provide the conditions for the boundary of hyp-ideals of a hyp-ring to become the hyp-ideals of hyp-ring.

Funder

Princess Nourah Bint Abdulrahman University

Publisher

Hindawi Limited

Subject

General Mathematics

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