{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,3]],"date-time":"2026-02-03T22:59:50Z","timestamp":1770159590604,"version":"3.49.0"},"reference-count":17,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2020,7,2]],"date-time":"2020-07-02T00:00:00Z","timestamp":1593648000000},"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                    In this paper, limit theory of set-valued functions defined on an interval (for short,\n                    <jats:italic>isv<\/jats:italic>\n                    -functions) is preliminarily established. Firstly, the concept of\n                    <jats:italic>isv<\/jats:italic>\n                    -functions is introduced. Secondly, limits of\n                    <jats:italic>isv<\/jats:italic>\n                    -functions are proposed and their properties are obtained. Thirdly, point-wise continuity of\n                    <jats:italic>isv<\/jats:italic>\n                    -functions and continuous\n                    <jats:italic>isv<\/jats:italic>\n                    -functions are discussed. Finally, an application of this theory for rough sets is given.\n                  <\/jats:p>","DOI":"10.3233\/jifs-192142","type":"journal-article","created":{"date-parts":[[2020,7,3]],"date-time":"2020-07-03T13:49:11Z","timestamp":1593784151000},"page":"3805-3823","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":1,"title":["Limit theory of\n                    <i>isv<\/i>\n                    -functions and its application for rough sets"],"prefix":"10.1177","volume":"39","author":[{"given":"Zhiming","family":"Luo","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Key Laboratory of Hunan Province for Statistical Learning and Intelligent Computation, Hunan University of Technology and Business, Changsha, Hunan, P.R. China"}]},{"given":"Pei","family":"Wang","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"}]}],"member":"179","published-online":{"date-parts":[[2020,7,2]]},"reference":[{"key":"e_1_3_2_2_2","unstructured":"AubinJ.P. and FrankowskaH. Set-valued analysis Birkh\u00e4user Berlin 1990."},{"key":"e_1_3_2_3_2","unstructured":"DaiM. ChenW. and ZhangG. Real analysis and functional analysis Chinese Scientific Publishers Beijing 2007."},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.2298\/FIL1813755E"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-019-04295-7"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","unstructured":"El-ShafeiM.E. and Al-shamiT.M. 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Rough set theory and methods Chinese Scientific Publishers Beijing 2001."}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-192142","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.3233\/JIFS-192142","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-192142","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,2,3]],"date-time":"2026-02-03T09:56:31Z","timestamp":1770112591000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/JIFS-192142"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,7,2]]},"references-count":17,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2020,10,7]]}},"alternative-id":["10.3233\/JIFS-192142"],"URL":"https:\/\/doi.org\/10.3233\/jifs-192142","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,7,2]]}}}