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125127

Topological approximations based on relations induced from differences

Article

Last updated: 23 Jan 2023

Subjects

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Tags

Mathematics

Abstract

The starting point of rough set theory is the indiscernibility relation, which is generated by information about objects of interest. The indiscernibility relation is intended to express the fact that due to the lack of knowledge we are unable to discern some objects employing the available information. Therefore, generally, we are unable to deal with single object. Nevertheless, we have to consider clusters of indiscernible objects. In this paper, a relationship was created through a table of given data. This relationship is based on the expert's opinion in the field of data. Based on this relationship, we constructed a topological under the lowest possible conditions. This topology describes the roughness of the set and shows that the intermittent topology obtained is stronger and more precise than others Other studies, also in this paper, compared the approximations obtained using the precision scale to determine the best

DOI

10.21608/erjeng.2018.125127

Keywords

Topological approximations, indiscernibility relation, topology, precision scale

Authors

First Name

Rukaia

Last Name

Rashed

MiddleName

M.

Affiliation

Department of Mathematics, Faculty of Education, Al-Zawia University,

Email

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City

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Orcid

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First Name

A.

Last Name

Azzam

MiddleName

A.

Affiliation

Department of Mathematics, Faculty of Science, Assuit University, New Valley, Egypt

Email

-

City

-

Orcid

-

Volume

2

Article Issue

August

Related Issue

18727

Issue Date

2018-08-01

Receive Date

2018-02-23

Publish Date

2018-08-01

Page Start

116

Page End

127

Print ISSN

2356-9441

Online ISSN

2735-4873

Link

https://erjeng.journals.ekb.eg/article_125127.html

Detail API

https://erjeng.journals.ekb.eg/service?article_code=125127

Order

10

Type

Research articles

Type Code

1,605

Publication Type

Journal

Publication Title

Journal of Engineering Research

Publication Link

https://erjeng.journals.ekb.eg/

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Details

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Article

Created At

23 Jan 2023