{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T14:20:30Z","timestamp":1777645230745,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2015,5,1]],"date-time":"2015-05-01T00:00:00Z","timestamp":1430438400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Fundamenta Informaticae"],"published-print":{"date-parts":[[2015,5]]},"abstract":"<jats:p>In this paper, a solution is given to the problem proposed by J\u00e4rvinen in [8]. A smallest completion of the rough sets system determined by an arbitrary binary relation is given. This completion, in the case of a quasi order, coincides with the rough sets system which is a Nelson algebra. Further, the algebraic properties of this completion has been studied.<\/jats:p>","DOI":"10.3233\/fi-2015-1188","type":"journal-article","created":{"date-parts":[[2019,12,3]],"date-time":"2019-12-03T01:31:32Z","timestamp":1575336692000},"page":"413-424","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":3,"title":["On the Completion of Rough Sets System Determined by Arbitrary Binary Relations"],"prefix":"10.1177","volume":"137","author":[{"given":"Dwaraganathan","family":"Umadevi","sequence":"first","affiliation":[{"name":"Department of Mathematics, Kamaraj College of Engineering and Technology, Virudhunagar - 626 001, Tamil Nadu, India. umavasanthy@yahoo.com"}]}],"member":"179","published-online":{"date-parts":[[2015,5,1]]},"container-title":["Fundamenta Informaticae"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2015-1188","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2015-1188","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T06:31:42Z","timestamp":1777444302000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/FI-2015-1188"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,5]]},"references-count":0,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2015,5]]}},"alternative-id":["10.3233\/FI-2015-1188"],"URL":"https:\/\/doi.org\/10.3233\/fi-2015-1188","relation":{},"ISSN":["0169-2968","1875-8681"],"issn-type":[{"value":"0169-2968","type":"print"},{"value":"1875-8681","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,5]]}}}