{"title":"由粗糙集确定的伪kleene代数","authors":"J. Järvinen, S. Radeleczki","doi":"10.48550/arXiv.2304.05641","DOIUrl":null,"url":null,"abstract":"We study the pseudo-Kleene algebras of the Dedekind-MacNeille completion of the ordered set of rough set determined by a reflexive relation. We characterize the cases when PBZ and PBZ*-lattices can be defined on these pseudo-Kleene algebras.","PeriodicalId":13685,"journal":{"name":"Int. J. Approx. Reason.","volume":"29 1","pages":"108991"},"PeriodicalIF":0.0000,"publicationDate":"2023-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Pseudo-Kleene algebras determined by rough sets\",\"authors\":\"J. Järvinen, S. Radeleczki\",\"doi\":\"10.48550/arXiv.2304.05641\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the pseudo-Kleene algebras of the Dedekind-MacNeille completion of the ordered set of rough set determined by a reflexive relation. We characterize the cases when PBZ and PBZ*-lattices can be defined on these pseudo-Kleene algebras.\",\"PeriodicalId\":13685,\"journal\":{\"name\":\"Int. J. Approx. Reason.\",\"volume\":\"29 1\",\"pages\":\"108991\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-04-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Int. J. Approx. Reason.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.48550/arXiv.2304.05641\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Int. J. Approx. Reason.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.48550/arXiv.2304.05641","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We study the pseudo-Kleene algebras of the Dedekind-MacNeille completion of the ordered set of rough set determined by a reflexive relation. We characterize the cases when PBZ and PBZ*-lattices can be defined on these pseudo-Kleene algebras.
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