{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:33:02Z","timestamp":1777703582838,"version":"3.51.4"},"reference-count":41,"publisher":"SAGE Publications","issue":"2","license":[{"start":{"date-parts":[[2019,7,5]],"date-time":"2019-07-05T00:00:00Z","timestamp":1562284800000},"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":[[2019,9,9]]},"abstract":"<jats:p>\n                    \u00a0The main objective of this paper is to provide some characterizations of\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying convex structures in terms of derived operators. We first introduce the notion of\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying convexly derived operators, and then establish the one-to-one correspondence between\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying convexly derived operators and\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying convex structures. Additionally, it is proved that\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying CP mappings can be expressed as formulas of derived sets. Finally, we introduce the notion of\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying restricted convexly derived operators and prove that it is isomorphic to\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying convex structures.\n                  <\/jats:p>","DOI":"10.3233\/jifs-182910","type":"journal-article","created":{"date-parts":[[2019,7,9]],"date-time":"2019-07-09T15:04:10Z","timestamp":1562684650000},"page":"2687-2696","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":7,"title":["Derived operators on\n                    <i>M<\/i>\n                    -fuzzifying convex spaces"],"prefix":"10.1177","volume":"37","author":[{"given":"Chong","family":"Shen","sequence":"first","affiliation":[{"name":"Beijing Key Laboratory on MCAACI, School of Mathematics and Statistics, Beijing Institute of Technology, P.R. 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