{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,11]],"date-time":"2026-02-11T13:54:17Z","timestamp":1770818057831,"version":"3.50.1"},"reference-count":0,"publisher":"SAGE Publications","issue":"5","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"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":[[2014,11]]},"abstract":"<jats:p>In this paper, a completion theorem for gradual metric space and a completion theorem for gradual normed linear space are proved. The completion spaces are defined by means of an equivalence relation obtained by convergence of sequences via the gradual metrics and the gradual norms, respectively.<\/jats:p>","DOI":"10.3233\/ifs-141232","type":"journal-article","created":{"date-parts":[[2019,12,2]],"date-time":"2019-12-02T19:07:57Z","timestamp":1575313677000},"page":"2597-2602","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["Completion of gradual metric spaces"],"prefix":"10.1177","volume":"27","author":[{"given":"Bing","family":"Wang","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P.R. China"},{"name":"School of Science, Mudanjiang Normal University, Mudanjiang, P.R. China"}]},{"given":"Bin","family":"Pang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P.R. China"}]},{"given":"Guiyan","family":"Ding","sequence":"additional","affiliation":[{"name":"School of Science, University of Science and Technology Liaoning, P.R. China"}]}],"member":"179","published-online":{"date-parts":[[2014,1]]},"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/IFS-141232","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/IFS-141232","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,2,11]],"date-time":"2026-02-11T11:52:54Z","timestamp":1770810774000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/IFS-141232"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,1]]},"references-count":0,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2014,11]]}},"alternative-id":["10.3233\/IFS-141232"],"URL":"https:\/\/doi.org\/10.3233\/ifs-141232","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,1]]}}}