{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T14:25:39Z","timestamp":1777645539938,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"4","license":[{"start":{"date-parts":[[2016,11,17]],"date-time":"2016-11-17T00:00:00Z","timestamp":1479340800000},"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":[[2016,11,17]]},"abstract":"<jats:p>Rough set theory is an important tool to deal with vagueness and granularity in information systems. Lower and upper approximation operators are two important basic concepts in the rough set theory. The classical Pawlak rough set approximations is based on equivalence relations and has been extended to relation-based generalized rough set approximations. In this paper, properties of relation-based generalized rough set approximations are examined, and topological properties of relation-based generalized rough set approximations presents. Necessary and sufficient conditions for the relation-based generalized upper (lower) approximation operators to be topological closure (interior) operators are proposed.<\/jats:p>","DOI":"10.3233\/fi-2016-1418","type":"journal-article","created":{"date-parts":[[2016,11,18]],"date-time":"2016-11-18T10:23:40Z","timestamp":1479464620000},"page":"477-491","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":13,"title":["Topological Structure of Relation-based Generalized Rough Sets"],"prefix":"10.1177","volume":"147","author":[{"given":"Yan-Lan","family":"Zhang","sequence":"first","affiliation":[{"name":"College of Computer, Minnan Normal University, Zhang\u2019zhou, Fu\u2019jian 363000, China."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jinjin","family":"Li","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Minnan Normal University, Zhang\u2019zhou, Fu\u2019jian 363000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Changqing","family":"Li","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Minnan Normal University, Zhang\u2019zhou, Fu\u2019jian 363000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2016,11,17]]},"container-title":["Fundamenta Informaticae"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2016-1418","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2016-1418","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T06:32:30Z","timestamp":1777444350000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/FI-2016-1418"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,11,17]]},"references-count":0,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2016,11,17]]}},"alternative-id":["10.3233\/FI-2016-1418"],"URL":"https:\/\/doi.org\/10.3233\/fi-2016-1418","relation":{},"ISSN":["0169-2968","1875-8681"],"issn-type":[{"value":"0169-2968","type":"print"},{"value":"1875-8681","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,11,17]]}}}