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Innovative Rough Set Approaches Using Novel Initial-Neighborhood Systems: Applications in Medical Diagnosis of Covid-19 Variants
Faculty
Science
Year:
2025
Type of Publication:
ZU Hosted
Pages:
Authors:
Rodyna Ahmed Mahmoud
Staff Zu Site
Abstract In Staff Site
Journal:
Information Sciences Elsevier
Volume:
708
Keywords :
Innovative Rough , Approaches Using Novel Initial-Neighborhood
Abstract:
The theory of rough sets produces a potent framework for administrating uncertainty and ambiguity in data, which is crucial for effective decision-making. However, the reliance on equivalence relations within this framework has led to the exploration of various generalizations and extensions. In this paper, we introduce eight new types of initial neighborhoods, expanding on the idea of initial neighborhoods, and examine the relationships and properties of twelve distinct types of neighborhoods derived from binary relations. We define initial-minimal and initial-maximal neighborhoods and develop eight types of rough approximations (-approximations) that generalize Pawlak's theory. These new approximations significantly improve upon previous methods, achieving accuracy rates of up to 100%. Furthermore, we implement Generalized Nano-topological frameworks in conjunction with our novel methodologies to address clinical applications, particularly focusing on advancing diagnostic strategies for Covid-19. By employing a universal binary relation, we clarify the effectiveness for our methodology per enhancing decision-making processes and pinpointing significant risk factors associated with Covid-19. Additionally, we introduce two algorithms for decision-making problems in information systems, emphasizing the broader applicability and significance of our approach across various fields.
Author Related Publications
Rodyna Ahmed Mahmoud, "More Properties on Continuous Multifunctions", American Scientific Publishers, 2018
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Rodyna Ahmed Mahmoud, "Extra strongly generalized closed soft sets", International Information Institute (Tokyo), 2016
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Rodyna Ahmed Mahmoud, "Modification of soft topology via soft stacks", International Information Institute (Tokyo), 2016
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Rodyna Ahmed Mahmoud, "Supra soft separation axioms and supra irresoluteness based on supra b-Soft sets", GU J Sci, 2016
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Rodyna Ahmed Mahmoud, "Supra semi open soft sets and associated soft separation axioms", Natural Sciences Publishing Cor., 2016
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Department Related Publications
Heba Ibrahim Mustafa, "Bi Operation and Rough Sets Generalizations", Dixie W Publishing Corporation, U. S. A., 2008
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Alaa Hassan Attia Hassan, "A New Class of Analytic Functions Defined by Using Salagean Operator", Hindawi Publishing Corporation, USA, 2013
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Usama Abdelhamid Ibrahim, "Fuzzy Pairwise Separation Axioms in fuzzy Bitopological spaces", Jöklarannsóknafélag Íslands, 2013
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Huda Ibrahim Sayed Ahmad, ", Multigrid solution of Three Dimensional Biharmonic Equations With Dirichlet Boundary Conditions of Second Kinds", كوريا, 2010
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Huda Ibrahim Sayed Ahmad, "The two variable (G'/G,1/G) -expansion method for finding exact traveling wave solutions of the (3+1) - dimensional nonlinear potential Yu-Toda-Sasa-Fukuyama equation", الصين, 2013
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