{"title":"关于数字拓扑中的一些集合","authors":"","doi":"10.46753/pjaa.2021.v08i01(i).001","DOIUrl":null,"url":null,"abstract":"The notions of strong and weak forms of open sets and closed sets in the digital line and digital plane have been used in digital image filtering techniques. The purpose of this paper is to characterize such sets in Digital Topology with special reference to b-closed sets and b-open sets. Key–Words:Digital topology, Khalimsky topology, b#-closed sets, b#-open sets.","PeriodicalId":37079,"journal":{"name":"Poincare Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"ON SOME SETS IN DIGITAL TOPOLOGY\",\"authors\":\"\",\"doi\":\"10.46753/pjaa.2021.v08i01(i).001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The notions of strong and weak forms of open sets and closed sets in the digital line and digital plane have been used in digital image filtering techniques. The purpose of this paper is to characterize such sets in Digital Topology with special reference to b-closed sets and b-open sets. Key–Words:Digital topology, Khalimsky topology, b#-closed sets, b#-open sets.\",\"PeriodicalId\":37079,\"journal\":{\"name\":\"Poincare Journal of Analysis and Applications\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-06-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Poincare Journal of Analysis and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46753/pjaa.2021.v08i01(i).001\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Poincare Journal of Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46753/pjaa.2021.v08i01(i).001","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The notions of strong and weak forms of open sets and closed sets in the digital line and digital plane have been used in digital image filtering techniques. The purpose of this paper is to characterize such sets in Digital Topology with special reference to b-closed sets and b-open sets. Key–Words:Digital topology, Khalimsky topology, b#-closed sets, b#-open sets.