{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,6]],"date-time":"2026-01-06T02:16:21Z","timestamp":1767665781999,"version":"3.37.3"},"reference-count":69,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","license":[{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/legalcode"}],"funder":[{"DOI":"10.13039\/501100007446","name":"Deanship of Scientific Research at King Khalid University, Abha, Saudi Arabia, through the Research Groups Program","doi-asserted-by":"publisher","award":["R.G. P-2\/29\/42"],"award-info":[{"award-number":["R.G. P-2\/29\/42"]}],"id":[{"id":"10.13039\/501100007446","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Access"],"published-print":{"date-parts":[[2021]]},"DOI":"10.1109\/access.2021.3116097","type":"journal-article","created":{"date-parts":[[2021,9,28]],"date-time":"2021-09-28T21:31:21Z","timestamp":1632864681000},"page":"135102-135120","source":"Crossref","is-referenced-by-count":9,"title":["A Novel Approach Toward Roughness of Bipolar Soft Sets and Their Applications in MCGDM"],"prefix":"10.1109","volume":"9","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6139-1872","authenticated-orcid":false,"given":"Rizwan","family":"Gul","sequence":"first","affiliation":[{"name":"Department of Mathematics, Quaid-I-Azam University Islamabad, Islamabad, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Muhammad","family":"Shabir","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Quaid-I-Azam University Islamabad, Islamabad, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0299-2395","authenticated-orcid":false,"given":"Munazza","family":"Naz","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, Fatima Jinnah Women University, Rawalpindi, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Muhammad","family":"Aslam","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Sciences, King Khalid University, Abha, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1155\/2013\/241485"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1080\/18756891.2015.1001951"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1142\/S1793830915500548"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-020-04968-8"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1016\/j.matcom.2009.10.003"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1155\/2012\/178159"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.3390\/math7080742"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1007\/s13370-018-0580-6"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-162178"},{"key":"ref34","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1501\/Commua1_0000000747","article-title":"Bipolar soft rough relations","volume":"65","author":"karaaslan","year":"2016","journal-title":"Commun Fac Sci Univ Ankara Ser A1 Math Stat"},{"key":"ref60","first-page":"359","article-title":"Bipolar soft connected, bipolar soft disconnected and bipolar soft compact spaces","volume":"39","author":"shabir","year":"2017","journal-title":"Songklanakari J Sci Technol"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-202958"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-200317"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-020-04776-0"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-61580-1"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1007\/s40815-019-00612-2"},{"key":"ref27","first-page":"1","article-title":"Soft set-based decision making for patients suspected influenza-like illness","volume":"1","author":"herawan","year":"2010","journal-title":"Int J Modern Phys"},{"key":"ref65","doi-asserted-by":"crossref","first-page":"44","DOI":"10.1007\/3-540-45813-1_6","article-title":"Rough set analysis of preference-ordered data","author":"s?owinski","year":"2002","journal-title":"Proc Int Conf Rough Sets Current Trends Comput"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.1057\/jors.2012.75"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2010.07.038"},{"key":"ref67","first-page":"399","article-title":"Notes on rough set approximations and associated measures","volume":"29","author":"yao","year":"2010","journal-title":"J Zhejiang Ocean Univ Natural Sci"},{"key":"ref68","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"ref69","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2008.04.004"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1007\/s41066-018-0132-3"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-131031"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.5120\/14854-3221"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-2217(98)00127-1"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4615-5025-9_14"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1002\/int.10014"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-2217(00)00167-3"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2015.2423707"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1007\/s40314-020-01174-y"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2009.10.010"},{"key":"ref51","first-page":"64","article-title":"On bipolar soft topological spaces","volume":"20","author":"\u00f6zt\u00fcrk","year":"2018","journal-title":"J New Theory"},{"key":"ref59","article-title":"On bipolar soft sets","author":"shabir","year":"2013","journal-title":"arXiv 1303 1344"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2016.07.001"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2012.11.012"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1016\/j.fiae.2015.09.008"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1142\/S1793524519500803"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1080\/18756891.2015.1063244"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2006.06.003"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1007\/BF01001956"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1007\/s00574-018-0103-y"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2010.07.014"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1155\/2020\/4690808"},{"key":"ref12","first-page":"137","article-title":"Fuzzy soft set theory and its applications","volume":"8","author":"\u00e7a?man","year":"2011","journal-title":"Iranian J Fuzzy Syst"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2010.03.015"},{"key":"ref14","first-page":"1","article-title":"Fuzzy soft set theory applied to medical diagnosis using fuzzy arithmetic operations","volume":"2013","author":"yamak","year":"2013","journal-title":"J Inequalities Appl"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2016.12.004"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-017-2838-6"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2010.11.004"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-009-0465-6"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/S0004-3702(01)00147-3"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2008.11.009"},{"key":"ref3","doi-asserted-by":"crossref","first-page":"3329","DOI":"10.1016\/j.asoc.2011.01.003","article-title":"A note on soft sets, rough soft sets and fuzzy soft sets","volume":"11","author":"ali","year":"2011","journal-title":"Appl Soft Comput"},{"key":"ref6","first-page":"679","article-title":"Comments on De Morgan&#x2019;s law in fuzzy soft sets","volume":"18","author":"ali","year":"2010","journal-title":"J Fuzzy Math"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2011.03.011"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-191350"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-18757"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-130844"},{"key":"ref9","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1155\/2021\/6621854","article-title":"Bipolar soft sets: Relations between them and ordinary points and their applications","volume":"2021","author":"al-shami","year":"2021","journal-title":"Complexity"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-181223"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-017-2883-1"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1016\/S0898-1221(99)00056-5"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2011.10.049"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1016\/S0898-1221(03)00016-6"},{"key":"ref41","first-page":"1","article-title":"A novel complex fuzzy N-soft sets and their decision-making algorithm","author":"mahmood","year":"2021","journal-title":"Complex Intell Syst"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2010.09.004"},{"key":"ref43","first-page":"589","article-title":"Fuzzy soft sets","volume":"9","author":"maji","year":"2001","journal-title":"J Fuzzy Math"}],"container-title":["IEEE Access"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/6287639\/9312710\/09551207.pdf?arnumber=9551207","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,9,8]],"date-time":"2024-09-08T23:36:24Z","timestamp":1725838584000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9551207\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"references-count":69,"URL":"https:\/\/doi.org\/10.1109\/access.2021.3116097","relation":{},"ISSN":["2169-3536"],"issn-type":[{"type":"electronic","value":"2169-3536"}],"subject":[],"published":{"date-parts":[[2021]]}}}