{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,21]],"date-time":"2025-11-21T00:46:53Z","timestamp":1763686013053,"version":"3.37.3"},"reference-count":29,"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":["61175055","T201109","2012FFB01101","D20131903","YZZ12061","YC13055"],"award-info":[{"award-number":["61175055","T201109","2012FFB01101","D20131903","YZZ12061","YC13055"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Innovation Term of Higher Education of Hubei Province, China","award":["61175055","T201109","2012FFB01101","D20131903","YZZ12061","YC13055"],"award-info":[{"award-number":["61175055","T201109","2012FFB01101","D20131903","YZZ12061","YC13055"]}]},{"DOI":"10.13039\/501100003819","name":"Natural Science Foundation of Hubei Province","doi-asserted-by":"publisher","award":["61175055","T201109","2012FFB01101","D20131903","YZZ12061","YC13055"],"award-info":[{"award-number":["61175055","T201109","2012FFB01101","D20131903","YZZ12061","YC13055"]}],"id":[{"id":"10.13039\/501100003819","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Natural Science Foundation of Education Committee of Hubei Province","award":["61175055","T201109","2012FFB01101","D20131903","YZZ12061","YC13055"],"award-info":[{"award-number":["61175055","T201109","2012FFB01101","D20131903","YZZ12061","YC13055"]}]},{"name":"Graduate Independent Innovation Foundation of Northwest University","award":["61175055","T201109","2012FFB01101","D20131903","YZZ12061","YC13055"],"award-info":[{"award-number":["61175055","T201109","2012FFB01101","D20131903","YZZ12061","YC13055"]}]},{"name":"Graduate Higher Achievement Foundation of Northwest University","award":["61175055","T201109","2012FFB01101","D20131903","YZZ12061","YC13055"],"award-info":[{"award-number":["61175055","T201109","2012FFB01101","D20131903","YZZ12061","YC13055"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2013]]},"abstract":"<jats:p>We introduce and study rough hyperideals in hyperlattices. First, we give some interesting examples of hyperlattices and introduce hyperideals of hyperlattices. Then, applying the notion of rough sets to hyperlattices, we introduce rough hyperideals in hyperlattices, which are extended notions of hyperideals of hyperlattices. In addition, we consider rough hyperideals in Cartesian products and quotients of hyperlattices. Finally, we investigate some properties about homomorphic images of rough hyperideals in hyperlattices.<\/jats:p>","DOI":"10.1155\/2013\/915217","type":"journal-article","created":{"date-parts":[[2013,8,12]],"date-time":"2013-08-12T17:05:03Z","timestamp":1376327103000},"page":"1-10","source":"Crossref","is-referenced-by-count":10,"title":["On Rough Hyperideals in Hyperlattices"],"prefix":"10.1155","volume":"2013","author":[{"given":"Pengfei","family":"He","sequence":"first","affiliation":[{"name":"Department of Mathematics, Northwest University, Xi'an 710127, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaolong","family":"Xin","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Northwest University, Xi'an 710127, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jianming","family":"Zhan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Hubei University for Nationalities, Enshi 445000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"2","doi-asserted-by":"publisher","DOI":"10.1006\/jabr.1997.6789"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(94)00385-V"},{"key":"4","first-page":"187","volume":"7","year":"1977","journal-title":"Mathematica Balkanica"},{"issue":"25","key":"5","first-page":"61","year":"1989","journal-title":"Annales Scientifiques de l'Universit\u00e9 de Clermont-Ferrand II. Math\u00e9matiques"},{"issue":"5","key":"6","first-page":"53","year":"1999","journal-title":"Italian Journal of Pure and Applied Mathematics"},{"issue":"10","key":"7","first-page":"75","year":"2001","journal-title":"Italian Journal of Pure and Applied Mathematics"},{"issue":"1","key":"8","first-page":"40","volume":"20","year":"2004","journal-title":"Pure and Applied Mathematics"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1080\/00927870903055230"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1007\/s00009-010-0065-9"},{"key":"11","series-title":"Advances in Mathematics","first-page":"xii+322","volume":"5","year":"2003"},{"year":"2007","key":"12"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1007\/BF01001956"},{"issue":"3","key":"14","first-page":"251","volume":"42","year":"1994","journal-title":"Bulletin of Mathematics of Polish Academy of Sciences"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2003.10.001"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2006.02.014"},{"issue":"1","key":"17","first-page":"165","volume":"57","year":"2003","journal-title":"Scientiae Mathematicae Japonicae"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/S0020-0255(96)00274-5"},{"issue":"1","key":"19","first-page":"183","volume":"5","year":"1997","journal-title":"Journal of Fuzzy Mathematics"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0255(95)00282-0"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2012.02.060"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2008.06.019"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2008.05.009"},{"issue":"4","key":"24","doi-asserted-by":"crossref","first-page":"499","DOI":"10.11650\/twjm\/1500407473","volume":"6","year":"2002","journal-title":"Taiwanese Journal of Mathematics"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-005-0031-9"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1007\/s10114-011-9465-4"},{"key":"27","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-010-0465-6"},{"issue":"3","key":"28","first-page":"185","volume":"13","year":"2011","journal-title":"International Journal of Fuzzy Systems"},{"key":"29","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-012-0809-5"},{"key":"30","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2010.04.028"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/915217.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/915217.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2013\/915217.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,7,20]],"date-time":"2019-07-20T17:30:59Z","timestamp":1563643859000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2013\/915217\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"references-count":29,"alternative-id":["915217","915217"],"URL":"https:\/\/doi.org\/10.1155\/2013\/915217","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2013]]}}}