{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,30]],"date-time":"2026-06-30T21:53:17Z","timestamp":1782856397140,"version":"3.54.5"},"reference-count":19,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2020,7,14]],"date-time":"2020-07-14T00:00:00Z","timestamp":1594684800000},"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":[[2020,10,7]]},"abstract":"<jats:p>\n                    Multisets are the nature extension of classical sets. Rough multisets are multisets in rough set context. This note studies rough multisets. We illustrate that Definition 9.1 in [\n                    <jats:xref ref-type=\"bibr\">4<\/jats:xref>\n                    ] is imperfect or irrational via an example. In order to improve this definition, we redefine rough multisets along with a illustrative example. Moreover, we obtain some properties of rough multisets based on new definition. Finally, we give applications of rough multisets.\n                  <\/jats:p>","DOI":"10.3233\/jifs-200015","type":"journal-article","created":{"date-parts":[[2020,7,16]],"date-time":"2020-07-16T10:44:59Z","timestamp":1594896299000},"page":"3899-3906","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":1,"title":["A note on rough multisets"],"prefix":"10.1177","volume":"39","author":[{"given":"Yan","family":"Song","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Yulin Normal University, Yulin, Guangxi, P.R. China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xun","family":"Ge","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Soochow University, Suzhou, Jiangsu, P.R. China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhaowen","family":"Li","sequence":"additional","affiliation":[{"name":"Key Laboratory of Complex System Optimization and Big Data Processing in Department of Guangxi Education, Yulin Normal University, Yulin, Guangxi, P.R. China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"179","published-online":{"date-parts":[[2020,7,14]]},"reference":[{"key":"e_1_3_2_2_2","first-page":"36","article-title":"Multiset theory","volume":"30","author":"Blizard W.D.","year":"1989","unstructured":"BlizardW.D., Multiset theory, Notre Dame Journal of Logic 30 (1989), 36\u201365.","journal-title":"Notre Dame Journal of Logic"},{"key":"e_1_3_2_3_2","unstructured":"CerfV. FernandezE. GostelowK. and VolauskyS. 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