On Multi-Granulation Rough Sets with Its Applications  

作　　者：Radwan Abu-Gdairi R.Mareay M.Badr 

机构地区：[1]Department of Mathematics,Faculty of Science,Zarqa University,Zarqa,13132,Jordan [2]Department of Mathematics,Faculty of Science,Kafrelsheikh University,Kafrelsheikh,33516,Egypt [3]Department of Mathematics,Faculty of Science,New Valley University,El Kharga,72713,Egypt

出　　处：《Computers, Materials & Continua》2024年第4期1025-1038,共14页计算机、材料和连续体（英文）

摘　　要：Recently,much interest has been given tomulti-granulation rough sets (MGRS), and various types ofMGRSmodelshave been developed from different viewpoints. In this paper, we introduce two techniques for the classificationof MGRS. Firstly, we generate multi-topologies from multi-relations defined in the universe. Hence, a novelapproximation space is established by leveraging the underlying topological structure. The characteristics of thenewly proposed approximation space are discussed.We introduce an algorithmfor the reduction ofmulti-relations.Secondly, a new approach for the classification ofMGRS based on neighborhood concepts is introduced. Finally, areal-life application from medical records is introduced via our approach to the classification of MGRS.

关 键 词：Multi-granulation rough sets data classifications information systems interior operators closure operators approximation structures 

分 类 号：O17[理学—数学]