{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:18:01Z","timestamp":1777702681061,"version":"3.51.4"},"reference-count":34,"publisher":"SAGE Publications","issue":"2","license":[{"start":{"date-parts":[[2018,8,27]],"date-time":"2018-08-27T00:00:00Z","timestamp":1535328000000},"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":[[2019,3,16]]},"abstract":"<jats:p>\n                    In the present paper we introduce the notion of\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying median algebras, which is an extended notion of median algebras in van de Vel. It can further induce\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying convex spaces and\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying interval spaces, respectively. We study some mapping relations of these concepts. Some characterizations and properties of\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying median algebras,\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying convex spaces and\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying interval spaces are given. Specially, an\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying median algebra can not only induce an\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying geometric interval operator but also obtain a special\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying modular space.\n                  <\/jats:p>","DOI":"10.3233\/jifs-172271","type":"journal-article","created":{"date-parts":[[2018,8,28]],"date-time":"2018-08-28T13:04:04Z","timestamp":1535461444000},"page":"1927-1935","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":6,"title":["<i>M<\/i>\n                    -fuzzifying median algebras and its induced convexities"],"prefix":"10.1177","volume":"36","author":[{"given":"Qi","family":"Liu","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P.R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fu-Gui","family":"Shi","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P.R. 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