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Topological methodologies for generalized multi-granulation
Faculty
Science
Year:
2025
Type of Publication:
ZU Hosted
Pages:
136-146
Authors:
Rodyna Ahmed Mahmoud
Staff Zu Site
Abstract In Staff Site
Journal:
Bulletin of Faculty of Science ,Zagazig University (BFSZU) Zagazig University; Faculty of Science. Center of Scientific Studies and Researches
Volume:
2024
Keywords :
Topological methodologies , generalized multi-granulation
Abstract:
Technological revolutions, the rapid pace of life, and the rapid development of approximate theory have led to the need for improved methodologies to deal with huge amounts of data in a short period and give results that are more accurate. This article establishes a model for Multi-Granular Rough Sets (MGRS) within neighborhood systems from a topological perspective. The approach involves approximating a target concept using the j-neighborhoods of objects within a given universe set. We propose extending the multi-granular rough sets framework by employing families of binary relations and constructing multi-topological spaces derived from these multi-relations. This method aims to enhance interior structures and minimize closures. Furthermore, the article examines the properties of these novel methodologies and compares them with previous research. It introduces the concept of a topological membership function in relation to j-neighborhoods of m-topologies, which integrates the principles of rough and fuzzy sets. Our findings indicate that the topology generated from multi- granulation offers more precise accuracy measurements compared to conventional topological methods. Finally, the article presents a real-world application involving medical records to demonstrate the effectiveness of our MGRS classification approach.
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
Rodyna Ahmed Mahmoud, "Pre-Open Sets with Ideal", Scientific Research Platform (SRP), 2013
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Rodyna Ahmed Mahmoud, "ON BCL-ALGEBRA", Council for Innovative Research, 2013
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Yasser AbdelAziz Amer Tolba, "The improved (G’/G) - expansion method for constructing exact traveling wave solutions for a nonlinear PDE of nanobiosciences", USA, 2013
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Alaa Hassan Attia Hassan, "A Unified Representation of Some Starlike and Convex Harmonic Functions with Negative Coefficients", AGH University of Science and Technology Press, Krakow 2013, Poland, 2013
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Alaa Hassan Attia Hassan, "Generalizations of Hadamard Procuct of Certain Meromorphic Multivalent Functions with Positive Coefficients", Istanbul Universitesi, Turkey, 2013
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