{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,5]],"date-time":"2026-02-05T07:29:44Z","timestamp":1770276584955,"version":"3.49.0"},"reference-count":30,"publisher":"SAGE Publications","issue":"1","license":[{"start":{"date-parts":[[2018,11,14]],"date-time":"2018-11-14T00:00:00Z","timestamp":1542153600000},"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":["Journal of Intelligent &amp; Fuzzy Systems"],"published-print":{"date-parts":[[2019,2,16]]},"abstract":"<jats:p>\n                    In this paper,\n                    <jats:italic>L<\/jats:italic>\n                    -fuzzy rough sets as a further generalization of the notion of fuzzy rough sets are proposed. Moreover, some properties in lattice ordered effect algebra are presented. A group of approximation operators are defined by the new operation in effect algebra, which is introduced by Zhou X.N., Li Q.G. and Wang G.J. And some equivalent statements in an\n                    <jats:italic>L<\/jats:italic>\n                    -fuzzy approximation space are investigated. Finally, the notion of generalized\n                    <jats:italic>L<\/jats:italic>\n                    -fuzzy relational morphism of lattice effect algebra is introduced and the fundamental properties of it are studied.\n                  <\/jats:p>","DOI":"10.3233\/jifs-171920","type":"journal-article","created":{"date-parts":[[2018,11,16]],"date-time":"2018-11-16T12:48:27Z","timestamp":1542372507000},"page":"29-36","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":3,"title":["Fuzzy rough set based on lattice effect algebra"],"prefix":"10.1177","volume":"36","author":[{"given":"Xiujuan","family":"Hua","sequence":"first","affiliation":[{"name":"Department of Mathematics, Xi\u2019an University of Technology, Xi\u2019an, China"}]}],"member":"179","published-online":{"date-parts":[[2018,11,14]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-017-3602-2"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1023\/A:1004192715509"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1080\/03081079008935107"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-015-7975-9_14"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2005.10.001"},{"key":"e_1_3_2_7_2","first-page":"471","article-title":"Approximations in hyperring","volume":"15","author":"Davvaz B.","year":"2009","unstructured":"B.Davvaz, Approximations in hyperring, Journal of Multiple-Value Logic and Soft Computing 15 (2009), 471\u2013488.","journal-title":"Journal of Multiple-Value Logic and Soft Computing"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2006.02.014"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1111\/1468-0262.00193"},{"key":"e_1_3_2_10_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02283036"},{"key":"e_1_3_2_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(67)90189-8"},{"key":"e_1_3_2_12_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-003-0280-4"},{"key":"e_1_3_2_13_2","doi-asserted-by":"publisher","DOI":"10.1007\/s005000100139"},{"key":"e_1_3_2_14_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00668911"},{"key":"e_1_3_2_15_2","first-page":"21","article-title":"D-posets","volume":"44","author":"Kopka F.","year":"1994","unstructured":"F.Kopka and F.Chovanet, D-posets, Math Slovaca 44 (1994), 21\u201334.","journal-title":"Math Slovaca"},{"key":"e_1_3_2_16_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2005.01.001"},{"key":"e_1_3_2_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2007.11.010"},{"key":"e_1_3_2_18_2","first-page":"6","article-title":"Fuzzy filters in effect algebras","volume":"23","author":"Liu D.L.","year":"2009","unstructured":"D.L.Liu and G.J.Wang, Fuzzy filters in effect algebras, Fuzzy Systems and Mathematics 23 (2009), 6\u201316.","journal-title":"Fuzzy Systems and Mathematics"},{"key":"e_1_3_2_19_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(97)00104-8"},{"key":"e_1_3_2_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(92)90114-J"},{"key":"e_1_3_2_21_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01001956"},{"key":"e_1_3_2_22_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(01)00032-X"},{"key":"e_1_3_2_23_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-27778-1_14"},{"key":"e_1_3_2_24_2","first-page":"62","article-title":"On the definition of model operators in fuzzy logic","author":"Thiele H.","year":"1993","unstructured":"H.Thiele, On the definition of model operators in fuzzy logic, in: ProcISMVL-93, Sacramento CA, 1993, pp. 62\u201367.","journal-title":"ProcISMVL-93"},{"key":"e_1_3_2_25_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0020-0255(02)00379-1"},{"key":"e_1_3_2_26_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2005.02.011"},{"key":"e_1_3_2_27_2","first-page":"617","article-title":"The properties of L-fuzzy rough set based on complete residuated lattice","author":"Wu Z.","year":"2008","unstructured":"Z.Wu, W.Du and K.Qin, The properties of L-fuzzy rough set based on complete residuated lattice, in: International Symposium on Information Science and Engineering, 2008, pp. 617\u2013621.","journal-title":"International Symposium on Information Science and Engineering"},{"key":"e_1_3_2_28_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2013.03.051"},{"key":"e_1_3_2_29_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2006.12.014"},{"key":"e_1_3_2_30_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2008.09.015"},{"key":"e_1_3_2_31_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"}],"container-title":["Journal of Intelligent &amp; 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