Generalized approximation spaces generation from -neighborhoods and ideals with application to Chikungunya disease

TM Al-shami, M Hosny - AIMS Mathematics, 2024 - aimspress.com
Rough set theory is an advanced uncertainty tool that is capable of processing sophisticated
real-world data satisfactorily. Rough approximation operators are used to determine the …

[PDF][PDF] Generalized approximation spaces generation from Ij-neighborhoods and ideals with application to Chikungunya disease

TM Al-shami, M Hosny - aimspress.com
Rough set theory is an advanced uncertainty tool that is capable of processing sophisticated
real-world data satisfactorily. Rough approximation operators are used to determine the …

Approximation operators and accuracy measures of rough sets from an infra-topology view

TM Al-Shami, A Mhemdi - Soft Computing, 2023 - Springer
In this work, our target point is to focus on rough approximation operators generated from
infra-topology spaces and examine their features. First, we show how infra-topology spaces …

[HTML][HTML] Novel approaches of generalized rough approximation spaces inspired by maximal neighbourhoods and ideals

M Hosny, TM Al-shami, A Mhemdi - Alexandria Engineering Journal, 2023 - Elsevier
The theory of rough set is a robust approach to face uncertainty by classifying the data under
study into three main regions. The main principles of this theory are approximation operators …

Rough approximation spaces via maximal union neighborhoods and ideals with a medical application

M Hosny, TM Al-shami, A Mhemdi - Journal of Mathematics, 2022 - Wiley Online Library
One of the most popular and important tools to deal with imperfect knowledge is the rough
set theory. It starts from dividing the universe to obtain blocks utilizing an equivalence …

Approximation spaces inspired by subset rough neighborhoods with applications

TM Al-shami, A Mhemdi - Demonstratio Mathematica, 2023 - degruyter.com
In this manuscript, we first generate topological structures by subset neighborhoods and
ideals and apply to establish some generalized rough-set models. Then, we present other …

Rough sets models inspired by supra-topology structures

TM Al-Shami, I Alshammari - Artificial Intelligence Review, 2023 - Springer
Our aim of writing this manuscript is to found novel rough-approximation operators inspired
by an abstract structure called “supra-topology”. This approach is more relaxed than …

[HTML][HTML] Idealization of rough sets and medical applications in decision-making the impact factors of COVID-19 infections and heart attacks

M Hosny - 2022 - europepmc.org
Rough set theory is a mathematical technique to address the issues of uncertainty and
vagueness in knowledge. It relies mainly on two approximations namely, lower and upper …

[HTML][HTML] Enhancing Dengue fever diagnosis with generalized rough sets: utilizing initial-neighborhoods and ideals

RA Hosny, R Abu-Gdairi, MK El-Bably - Alexandria Engineering Journal, 2024 - Elsevier
This article introduces novel definitions for generalized rough-set models, that using the
concepts of initial neighborhoods and ideals. A comprehensive examination of the …

Idealization of j-approximation spaces

M Hosny - Filomat, 2020 - doiserbia.nb.rs
The current work concentrates on generating different topologies by using the concept of the
ideal. These topologies are used to make more thorough studies on generalized rough set …