{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:47:22Z","timestamp":1777704442035,"version":"3.51.4"},"reference-count":45,"publisher":"SAGE Publications","issue":"4","license":[{"start":{"date-parts":[[2018,8,31]],"date-time":"2018-08-31T00:00:00Z","timestamp":1535673600000},"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":[[2018,10,27]]},"abstract":"<jats:p>\n                    In this paper, a new definition of\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying derived operators on matroids is introduced and their characterizations are given. What\u2019s more, it is shown that there is a one-to-one correspondence between\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying matroids and\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying derived operators, and there is also a one-to-one correspondence between\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying closure operators and\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying derived operators. Besides, we can obtain an\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying closure operator induced by an\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying matroid directly.\n                  <\/jats:p>","DOI":"10.3233\/jifs-17789","type":"journal-article","created":{"date-parts":[[2018,8,31]],"date-time":"2018-08-31T12:00:54Z","timestamp":1535716854000},"page":"4673-4683","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":5,"title":["Derived operators of\n                    <i>M<\/i>\n                    -fuzzifying matroids"],"prefix":"10.1177","volume":"35","author":[{"given":"Yu","family":"Zhong","sequence":"first","affiliation":[{"name":"College of Science, North China University of Technology, Beijing, P. R. China"},{"name":"School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P. R. 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