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Research Article | Open Access

A novel pessimistic multigranulation roughness by soft relations over dual universe

Jamalud Din1( ), Muhammad Shabir1, Samir Brahim Belhaouari2( )
Department of Mathematics, Quaid-I-Azam University Islamabad, 44230, Pakistan
Division of Information and Computing Technology, College of Science and Engineering, Hamad Bin Khalifa University, Doha, Qatar
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Abstract

A multigranulation rough set over two universes delivers a unique perspective on the combination of multigranulation information. This paper presents the pessimistic multignualtion rough set over dual universes based on soft binary relations. Firstly, a new pessimistic multigranualtion rough set over dual universes based on two soft binary relations has been developed, and their properties are derived. Then we extend this idea and present pessimistic multigranulation roughness over dual universes based on the finite number of soft binary relations. Finally, we present an example to illustrate our proposed multigranualtion rough set model.

Keywords

rough setsoft setmultigranulation rough setsoft relation and approximation by soft binary relation
CLC number: 03B52, 68T27

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AIMS Mathematics
Volume 8 Issue 4,
April 2023
Pages 7881-7898
DOI: 10.3934/math.2023397

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Cite this article:
Din J, Shabir M, Belhaouari SB. A novel pessimistic multigranulation roughness by soft relations over dual universe. AIMS Mathematics, 2023, 8(4): 7881-7898. https://doi.org/10.3934/math.2023397

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Received: 12 September 2022
Revised: 31 December 2022
Accepted: 10 January 2023
Published: 15 April 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)