{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:31Z","timestamp":1740134551213,"version":"3.37.3"},"reference-count":17,"publisher":"Wiley","license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11061004","11226085","2011QD015","2012ZD001"],"award-info":[{"award-number":["11061004","11226085","2011QD015","2012ZD001"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11061004","11226085","2011QD015","2012ZD001"],"award-info":[{"award-number":["11061004","11226085","2011QD015","2012ZD001"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Science Research Project of Guangxi University for Nationalities","award":["11061004","11226085","2011QD015","2012ZD001"],"award-info":[{"award-number":["11061004","11226085","2011QD015","2012ZD001"]}]},{"name":"Science Foundation of Guangxi College of Finance and Economics","award":["11061004","11226085","2011QD015","2012ZD001"],"award-info":[{"award-number":["11061004","11226085","2011QD015","2012ZD001"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2013]]},"abstract":"<jats:p>Soft set theory is a newly emerging tool to deal with uncertain problems. Based on soft sets, soft rough approximation operators are introduced, and soft rough sets are defined by using soft rough approximation operators. Soft rough sets, which could provide a better approximation than rough sets do, can be seen as a generalized rough set model. This paper is devoted to investigating soft rough approximation operations and relationships among soft sets, soft rough sets, and topologies. We consider four pairs of soft rough approximation operators and give their properties. Four sorts of soft rough sets are investigated, and their related properties are given. We show that Pawlak's rough set model can be viewed as a special case of soft rough sets, obtain the structure of soft rough sets, give the structure of topologies induced by a soft set, and reveal that every topological space on the initial universe is a soft approximating space.<\/jats:p>","DOI":"10.1155\/2013\/241485","type":"journal-article","created":{"date-parts":[[2013,3,26]],"date-time":"2013-03-26T17:05:24Z","timestamp":1364317524000},"page":"1-15","source":"Crossref","is-referenced-by-count":3,"title":["Soft Rough Approximation Operators and Related Results"],"prefix":"10.1155","volume":"2013","author":[{"given":"Zhaowen","family":"Li","sequence":"first","affiliation":[{"name":"School of Science, Guangxi University for Nationalities, Nanning, Guangxi 530006, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bin","family":"Qin","sequence":"additional","affiliation":[{"name":"School of Information and Statistics, Guangxi College of Finance and Economics, Nanning, Guangxi 530003, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhangyong","family":"Cai","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Guangxi Teachers College, Nanning, Guangxi 530023, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"year":"1991","key":"16"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/S0898-1221(99)00056-5"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/S0898-1221(03)00016-6"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/S0898-1221(02)00216-X"},{"issue":"3","key":"13","first-page":"589","volume":"9","year":"2001","journal-title":"Journal of Fuzzy Mathematics"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2006.04.008"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2009.12.014"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2006.12.008"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-009-0465-6"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2010.11.004"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2011.02.006"},{"issue":"5","key":"8","first-page":"881","volume":"13","year":"2011","journal-title":"Journal of Computational Analysis and Applications"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2006.06.006"},{"issue":"2","key":"23","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1080\/10798587.1996.10750660","volume":"2","year":"1996","journal-title":"Intelligent Automation and Soft Computing"},{"year":"2001","key":"20"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2005.01.001"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-59830-2"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/241485.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/241485.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/241485.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,21]],"date-time":"2017-06-21T06:05:23Z","timestamp":1498025123000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2013\/241485\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"references-count":17,"alternative-id":["241485","241485"],"URL":"https:\/\/doi.org\/10.1155\/2013\/241485","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2013]]}}}