{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,15]],"date-time":"2025-12-15T14:12:09Z","timestamp":1765807929422,"version":"3.41.2"},"reference-count":21,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2021,6,11]],"date-time":"2021-06-11T00:00:00Z","timestamp":1623369600000},"content-version":"vor","delay-in-days":161,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>One of the considerable subjects in mathematics is the study of topology. Deducing topology from arbitrary binary relations has enticed the attention of many researchers. So, we devote this article to generate some kinds of topologies from ideals and <jats:italic>E<\/jats:italic><jats:sub><jats:italic>j<\/jats:italic><\/jats:sub>\u2010neighborhoods which are induced from any binary relation. We define new types of approximations and accuracy measures from these topologies and then compare them with their counterparts induced directly from <jats:italic>E<\/jats:italic><jats:sub><jats:italic>j<\/jats:italic><\/jats:sub>\u2010neighborhoods and ideals. Also, we show that the approximations and accuracy measures given, herein, are better than those introduced in some previous studies under any arbitrary relation.<\/jats:p>","DOI":"10.1155\/2021\/4149368","type":"journal-article","created":{"date-parts":[[2021,6,11]],"date-time":"2021-06-11T18:50:13Z","timestamp":1623437413000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":28,"title":["Various Topologies Generated from <i>E<\/i><sub><i>j<\/i><\/sub>\u2010Neighbourhoods via Ideals"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9861-0074","authenticated-orcid":false,"given":"Rodyna A.","family":"Hosny","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2049-2044","authenticated-orcid":false,"given":"Baravan A.","family":"Asaad","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1206-9326","authenticated-orcid":false,"given":"A. A.","family":"Azzam","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8074-1102","authenticated-orcid":false,"given":"Tareq M.","family":"Al-Shami","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2021,6,11]]},"reference":[{"key":"e_1_2_8_1_2","doi-asserted-by":"publisher","DOI":"10.1007\/bf01001956"},{"volume-title":"Rough Sets, Theoretical Aspects of Reasoning about Data","year":"1991","author":"Pawlak Z.","key":"e_1_2_8_2_2"},{"key":"e_1_2_8_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/0169-4332(88)90010-4"},{"key":"e_1_2_8_4_2","first-page":"89","article-title":"On topological rough sets","volume":"37","author":"Wiweger A.","year":"1989","journal-title":"Bulletin of the Polish Academy of Sciences Mathematics"},{"key":"e_1_2_8_5_2","doi-asserted-by":"publisher","DOI":"10.1007\/s13042-012-0107-7"},{"key":"e_1_2_8_6_2","doi-asserted-by":"publisher","DOI":"10.1155\/2021\/6699092"},{"key":"e_1_2_8_7_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-210272"},{"key":"e_1_2_8_8_2","unstructured":"KozaeA. 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Topological approach for approximation space (TAS) Proceeding of the 5th International Conference INFOS 2007 on Informatics and Systems July 2007 Cairo Egypt Faculty of Computers Information Cairo University 289\u2013302."},{"key":"e_1_2_8_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijar.2004.11.007"},{"key":"e_1_2_8_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2011.12.011"},{"key":"e_1_2_8_11_2","doi-asserted-by":"publisher","DOI":"10.1155\/2021\/5586187"},{"key":"e_1_2_8_12_2","doi-asserted-by":"publisher","DOI":"10.3233\/jifs-201090"},{"key":"e_1_2_8_13_2","doi-asserted-by":"publisher","DOI":"10.15672\/hujms.662711"},{"volume-title":"Topology Vol. I","year":"1966","author":"Kuratowski K.","key":"e_1_2_8_14_2"},{"key":"e_1_2_8_15_2","first-page":"525","article-title":"Generalized rough sets via ideals","volume":"5","author":"Kandil A.","year":"2013","journal-title":"Annals of Fuzzy Mathematics and Informatics"},{"key":"e_1_2_8_16_2","doi-asserted-by":"publisher","DOI":"10.1007\/11548669_7"},{"key":"e_1_2_8_17_2","doi-asserted-by":"crossref","unstructured":"YaoY. 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Rough sets neighborhood systems and granular computing n Proceedings of the IEEE Canadian Conference on Electrical and Computer Engineering May 1999 Edmonton Canada 1553\u20131559.","DOI":"10.1109\/CCECE.1999.804943"},{"key":"e_1_2_8_18_2","doi-asserted-by":"publisher","DOI":"10.1155\/2021\/6666853"},{"key":"e_1_2_8_19_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2021.04.016"},{"key":"e_1_2_8_20_2","doi-asserted-by":"publisher","DOI":"10.1504\/ijgcrsis.2014.068032"},{"key":"e_1_2_8_21_2","doi-asserted-by":"publisher","DOI":"10.2298\/fil2002287h"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2021\/4149368.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2021\/4149368.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2021\/4149368","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,9]],"date-time":"2024-08-09T23:02:01Z","timestamp":1723244521000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2021\/4149368"}},"subtitle":[],"editor":[{"given":"Ahmed Mostafa","family":"Khalil","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2021,1]]},"references-count":21,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2021,1]]}},"alternative-id":["10.1155\/2021\/4149368"],"URL":"https:\/\/doi.org\/10.1155\/2021\/4149368","archive":["Portico"],"relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"type":"print","value":"1076-2787"},{"type":"electronic","value":"1099-0526"}],"subject":[],"published":{"date-parts":[[2021,1]]},"assertion":[{"value":"2021-04-20","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-05-22","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-06-11","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"4149368"}}