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383797

Multiset concepts in two-universe approximation spaces

Article

Last updated: 31 Dec 2024

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Abstract

Rough set theory over two universes is a generalization of rough set model to find
accurate approximations for uncertain concepts in information systems in which
uncertainty arises from existence of interrelations between the three basic sets:
objects, attributes, and decisions.
In this work, multisets are approximated in a crisp two-universe approximation space
using binary ordinary relation and multi relation. The concept of two universe
approximation is applied for defining lower and upper approximations of multisets.
Properties of these approximations are investigated, and the deviations between
them and corresponding notions are obtained; some counter examples are given.
The suggested notions can help in the modification of the decision-making for
events in which objects have repetitions such as patients visiting a doctor more than
one time; an example for this case is given.

DOI

10.1186/s42787-020-00104-5

Keywords

rough set, Multiset, Two universes approximation space

Authors

First Name

O.

Last Name

Embaby

MiddleName

A.

Affiliation

Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt

Email

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City

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Orcid

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First Name

Nadya

Last Name

Toumi

MiddleName

A.

Affiliation

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Orcid

-

Volume

28

Article Issue

1

Related Issue

50535

Issue Date

2020-06-01

Receive Date

2024-10-03

Publish Date

2020-06-01

Page Start

1

Page End

13

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_383797.html

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https://joems.journals.ekb.eg/service?article_code=383797

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383,797

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

Multiset concepts in two-universe approximation spaces

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Type

Article

Created At

21 Dec 2024