{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:30:47Z","timestamp":1777703447066,"version":"3.51.4"},"reference-count":29,"publisher":"SAGE Publications","issue":"4","license":[{"start":{"date-parts":[[2018,4,19]],"date-time":"2018-04-19T00:00:00Z","timestamp":1524096000000},"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":[[2018,4,19]]},"abstract":"<jats:p>\n                    This paper attempts to study circuit axioms and connectedness of\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying matroids. Based on the results of circuit-maps given by Yao and Shi, remarks concerning circuit-maps and connectedness of fuzzifying matroids are shown, and thus the useful notion of an\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying matroid induced by an\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzy family of circuits is introduced. Circuit axioms of an\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying matroid induced by an\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzy family of circuits are established, which are the generalizations of circuit axioms for a matroid in a normal way. Connectedness of an\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying matroid induced by an\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzy family of circuits is then defined by its\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzy family of circuits, a fuzzy analog of connectedness of a matroid. Additionally, two kinds of\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying matroids are compared.\n                  <\/jats:p>","DOI":"10.3233\/jifs-171239","type":"journal-article","created":{"date-parts":[[2018,4,20]],"date-time":"2018-04-20T11:03:21Z","timestamp":1524222201000},"page":"2223-2234","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":3,"title":["<i>M<\/i>\n                    -fuzzifying matroids induced by\n                    <i>M<\/i>\n                    -fuzzy families of ciruits"],"prefix":"10.1177","volume":"34","author":[{"given":"Xiu","family":"Xin","sequence":"first","affiliation":[{"name":"Department of Mathematics, Tianjin University of Technology, Tianjin, P.R. 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