核粗糙代数及其与核正则双石代数的联系

Q4 Mathematics

Journal of the Indian Mathematical Society Pub Date : 2019-08-22 DOI:10.18311/JIMS/2019/23448

A. R. J. Srikanth, R. Kumar, G. Deekshitulu

{"title":"核粗糙代数及其与核正则双石代数的联系","authors":"A. R. J. Srikanth, R. Kumar, G. Deekshitulu","doi":"10.18311/JIMS/2019/23448","DOIUrl":null,"url":null,"abstract":"In this paper a special sub class of rough set algebra (RSA) is identied and coined as core rough set algebra(CRSA). Further we studied the relationship between CRSA and core regular double Stone algebra (CRDSA) introduced in [10]. In fact, a representation theorem for CRDSA in terms of rough sets is established.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"86 1","pages":"325-340"},"PeriodicalIF":0.0000,"publicationDate":"2019-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Core Rough Algebras and its Connection with Core Regular Double Stone Algebra\",\"authors\":\"A. R. J. Srikanth, R. Kumar, G. Deekshitulu\",\"doi\":\"10.18311/JIMS/2019/23448\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper a special sub class of rough set algebra (RSA) is identied and coined as core rough set algebra(CRSA). Further we studied the relationship between CRSA and core regular double Stone algebra (CRDSA) introduced in [10]. In fact, a representation theorem for CRDSA in terms of rough sets is established.\",\"PeriodicalId\":38246,\"journal\":{\"name\":\"Journal of the Indian Mathematical Society\",\"volume\":\"86 1\",\"pages\":\"325-340\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-08-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Indian Mathematical Society\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.18311/JIMS/2019/23448\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Indian Mathematical Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18311/JIMS/2019/23448","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}

引用次数: 1

摘要

本文对粗糙集代数(RSA)中的一个特殊子类进行了识别，并将其命名为核心粗糙集代数(CRSA)。进一步研究了CRSA与[10]中引入的核正则双石代数(CRDSA)之间的关系。实际上，建立了CRDSA在粗糙集上的表示定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Core Rough Algebras and its Connection with Core Regular Double Stone Algebra

In this paper a special sub class of rough set algebra (RSA) is identied and coined as core rough set algebra(CRSA). Further we studied the relationship between CRSA and core regular double Stone algebra (CRDSA) introduced in [10]. In fact, a representation theorem for CRDSA in terms of rough sets is established.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of the Indian Mathematical Society Mathematics-Mathematics (all)

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title ''the Journal of Indian Mathematical Society. The four issues of the Journal constitute a single volume and it is published in two parts: issues 1 and 2 (January to June) as one part and issues 3 and 4 (July to December) as the second part. The four issues of the Mathematics Student (another periodical of the Society) are published as a single yearly volume. Only the original research papers of high quality are published in the Journal of Indian Mathematical Society.