Mathematical Morphology View of Topological Rough Sets and Its Applications
作者机构：Department of MathematicsFaculty of Science and Arts in Al-MandaqAl-Baha UniversityKingdom of Saudi Arabia Department of MathematicsFaculty of ScienceTanta UniversityTantaEgypt Department of Electrical EngineeringFaculty of EngineeringKafrelsheikh UniversityKafrelsheikh33516Egypt Department of Physics and Engineering MathematicsFaculty of EngineeringKafrelsheikh UniversityKafrelsheikh33516Egypt
出 版 物：《Computers, Materials & Continua》 (计算机、材料和连续体（英文）)
年 卷 期：2023年第74卷第3期
页 面：6893-6908页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Mathematical morphology rough set theory topological spaces COVID-19
摘 要：This article focuses on the relationship between mathematical morphology operations and rough sets,mainly based on the context of image retrieval and the basic image correspondence *** morphological procedures and set approximations in rough set theory have some clear *** initiatives have been made to connect rough sets with mathematical *** significant publications have been written in this *** attempt to show a direct connection between mathematical morphology and rough sets through relations,a pair of dual operations,and neighborhood *** sets are used to suggest a strategy to approximatemathematicalmorphology within the general paradigm of soft computing.A single framework is defined using a different technique that incorporates the key ideas of both rough sets and mathematical *** paper examines rough set theory from the viewpoint of mathematical morphology to derive rough forms of themorphological structures of dilation,erosion,opening,and *** newly defined structures are applied to develop algorithm for the differential analysis of chest X-ray images from a COVID-19 patient with acute pneumonia and a health *** algorithm and rough morphological operations show promise for the delineation of lung occlusion in COVID-19 patients from chest *** foundations of mathematical morphology are covered in this *** that,rough set theory ideas are taken into account,and their connections are ***,a suggested image retrieval application of the concepts from these two fields is provided.
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