A novel pessimistic multigranulation roughness by soft relations over dual universe

Jamalud Din; Muhammad Shabir; Samir Brahim Belhaouari

doi:10.3934/math.2023397

A novel pessimistic multigranulation roughness by soft relations over dual universe

Jamalud Din^*, Muhammad Shabir, Samir Brahim Belhaouari^*

^*Corresponding author for this work

CSE Information & Computing Technology

Quaid-I-Azam University

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	7881-7898
Number of pages	18
Journal	AIMS Mathematics
Volume	8
Issue number	4
DOIs	https://doi.org/10.3934/math.2023397
Publication status	Published - 2023

Keywords

Multigranulation rough set
Rough set
Soft relation and approximation by soft binary relation
Soft set

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10.3934/math.2023397

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title = "A novel pessimistic multigranulation roughness by soft relations over dual universe",

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 = "Multigranulation rough set, Rough set, Soft relation and approximation by soft binary relation, Soft set",

author = "Jamalud Din and Muhammad Shabir and Belhaouari, {Samir Brahim}",

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AB - 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.

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A novel pessimistic multigranulation roughness by soft relations over dual universe

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Keywords

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