{"title":"SOME ROUGH HAUSDORFF LIMIT LAWS FOR SEQUENCES OF SETS","authors":"Ö. Ölmez, Hüseyin Albayrak, S. Aytar","doi":"10.22190/fumi211025043o","DOIUrl":null,"url":null,"abstract":"In this study, we observe the change of roughness degree for the rough Hausdorff convergence of a sequence consisting of the product of a sequence of sets and a sequence of real numbers. Then we prove that the rough Hausdorff convergence is preserved under the operators of addition, union, Cartesian product and convex hull.","PeriodicalId":54148,"journal":{"name":"Facta Universitatis-Series Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2022-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Facta Universitatis-Series Mathematics and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22190/fumi211025043o","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
In this study, we observe the change of roughness degree for the rough Hausdorff convergence of a sequence consisting of the product of a sequence of sets and a sequence of real numbers. Then we prove that the rough Hausdorff convergence is preserved under the operators of addition, union, Cartesian product and convex hull.
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