Rough quotient in topological rough sets-Reference-Cited by-同舟云学术

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Rough quotient in topological rough sets

Published:2019-12-31 Issue:1 Volume:17 Page:1750-1755
ISSN:2391-5455
Container-title:Open Mathematics
language:
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Author:

Alharbi Nof¹,Altassan Alaa¹,Aydi Hassen²³,Özel Cenap¹

Affiliation:

1. Department of Mathematics, King Abdulaziz University, P.O.Box: 80203, Jeddah, 21589, Saudi Arabia

2. Université de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse, 4000 Tunisia

3. China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan

Abstract

Abstract In this paper, we introduce a rough quotient. Also, we present conditions ensuring that G/H are partitions of G. The rough projection map is also presented. We discuss first, second and third rough isomorphism theorems and other related results. At the end, an orbit and a stabilizer in topological rough groups are considered.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2019-0138/pdf

Reference18 articles.

1. A calculus of rough sets of the first order;Bull. Pol. Acad. Sci. Math.,1989

2. Rough anti-homomorphism on a rough group;Global J. Math. Sci. Theory Pract.,2014

3. Topological rough groups;Topol. Algebra Appl.,2016

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