{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,8]],"date-time":"2026-02-08T21:57:56Z","timestamp":1770587876795,"version":"3.49.0"},"reference-count":16,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2017,2,24]],"date-time":"2017-02-24T00:00:00Z","timestamp":1487894400000},"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":[[2017,2,24]]},"abstract":"<jats:p>In many cases, the uncertain factor influencing dynamic systems is not single. Multifactor uncertain differential equation is a type of differential equation driven by the multiple Liu processes. Some concepts of stability in measure and stability in mean for multifactor uncertain differential equations have been proposed. This paper focuses on presenting a concept of the almost sure stability of multifactor uncertain differential equation. A sufficient condition for a multifactor uncertain differential equation being almost surely stable are provided. In addition, this paper discusses some examples to illustrate the theoretical considerations.<\/jats:p>","DOI":"10.3233\/jifs-162024","type":"journal-article","created":{"date-parts":[[2017,2,28]],"date-time":"2017-02-28T11:31:50Z","timestamp":1488281510000},"page":"2187-2194","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":11,"title":["Almost sure stability for multifactor uncertain differential equation"],"prefix":"10.1177","volume":"32","author":[{"given":"Yuhong","family":"Sheng","sequence":"first","affiliation":[{"name":"College of Mathematical and System Sciences, Xinjiang University, Urumqi, China"}]},{"given":"Gang","family":"Shi","sequence":"additional","affiliation":[{"name":"School of Information Science and Engineering, Xinjiang University, Urumqi, China"}]},{"given":"Qing","family":"Cui","sequence":"additional","affiliation":[{"name":"School of Information Science and Engineering, Xinjiang University, Urumqi, China"}]}],"member":"179","published-online":{"date-parts":[[2017,2,24]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.2307\/1914185"},{"key":"e_1_3_2_3_2","first-page":"2007","volume-title":"Uncertainty Theory","author":"Liu B.","unstructured":"LiuB., Uncertainty Theory, 2nd ed, Springer-Verlag, Berlin, 2007.","edition":"2"},{"issue":"1","key":"e_1_3_2_4_2","first-page":"3","article-title":"Some research problems in uncertainty theory","volume":"3","author":"Liu B.","year":"2009","unstructured":"LiuB., Some research problems in uncertainty theory, Journal of Uncertain Systems 3(1) (2009), 3\u201310.","journal-title":"Journal of Uncertain Systems"},{"issue":"1","key":"e_1_3_2_5_2","first-page":"3","article-title":"Fuzzy process, hybrid process and uncertain process","volume":"2","author":"Liu B.","year":"2008","unstructured":"LiuB., Fuzzy process, hybrid process and uncertain process, Journal of Uncertain Systems 2(1) (2008), 3\u201316.","journal-title":"Journal of Uncertain Systems"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1186\/2195-5468-1-3"},{"issue":"4","key":"e_1_3_2_7_2","first-page":"250","article-title":"Uncertain integral with respect to multiple canonical processes","volume":"6","author":"Liu B.","year":"2012","unstructured":"LiuB. and YaoK., Uncertain integral with respect to multiple canonical processes, Journal of Uncertain Systems 6(4) (2012), 250\u2013255.","journal-title":"Journal of Uncertain Systems"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10700-010-9073-2"},{"issue":"3","key":"e_1_3_2_9_2","first-page":"223","article-title":"Existence and uniqueness theorem on uncertain differential equations with local Lipschitz condition","volume":"6","author":"Gao Y.","year":"2012","unstructured":"GaoY., Existence and uniqueness theorem on uncertain differential equations with local Lipschitz condition, Journal of Uncertain Systems 6(3) (2012), 223\u2013232.","journal-title":"Journal of Uncertain Systems"},{"key":"e_1_3_2_10_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10700-012-9139-4"},{"key":"e_1_3_2_11_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10700-014-9204-2"},{"key":"e_1_3_2_12_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-130812"},{"key":"e_1_3_2_13_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-015-1727-0"},{"key":"e_1_3_2_14_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10700-014-9188-y"},{"key":"e_1_3_2_15_2","doi-asserted-by":"publisher","DOI":"10.1186\/s40467-015-0031-y"},{"key":"e_1_3_2_16_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-152076"},{"key":"e_1_3_2_17_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-13959-8"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-162024","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.3233\/JIFS-162024","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-162024","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,2,8]],"date-time":"2026-02-08T02:17:08Z","timestamp":1770517028000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/JIFS-162024"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,2,24]]},"references-count":16,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2017,2,24]]}},"alternative-id":["10.3233\/JIFS-162024"],"URL":"https:\/\/doi.org\/10.3233\/jifs-162024","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,2,24]]}}}