{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:26:24Z","timestamp":1777703184405,"version":"3.51.4"},"reference-count":26,"publisher":"SAGE Publications","issue":"6","license":[{"start":{"date-parts":[[2017,12,1]],"date-time":"2017-12-01T00:00:00Z","timestamp":1512086400000},"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 & Fuzzy Systems"],"published-print":{"date-parts":[[2017,12]]},"abstract":"\n In\n M<\/jats:italic>\n -fuzzifying interval spaces, the notion of\n M<\/jats:italic>\n -fuzzifying base-point orders is introduced, by which some characterizations of\n M<\/jats:italic>\n -fuzzifying geometric (resp. Peano, Pasch) interval spaces are obtained. Then notions of\n M<\/jats:italic>\n -fuzzifying gated sets,\n M<\/jats:italic>\n -fuzzifying gate maps and\n M<\/jats:italic>\n -fuzzifying gated amalgamations are introduced. It is shown that\n M<\/jats:italic>\n -fuzzifying gated sets are preserved by\n M<\/jats:italic>\n -fuzzifying IP-surjective mappings, and that the\n M<\/jats:italic>\n -fuzzifying Peano (resp. Pasch, modular, JHC) property is preserved by\n M<\/jats:italic>\n -fuzzifying gated amalgamations. In particular, the\n M<\/jats:italic>\n -fuzzifying sand-glass property is also preserved by\n M<\/jats:italic>\n -fuzzifying gated amalgamations provided that the corresponding\n M<\/jats:italic>\n -fuzzifying gate maps are\n M<\/jats:italic>\n -fuzzifying II-mappings.\n <\/jats:p>","DOI":"10.3233\/jifs-17903","type":"journal-article","created":{"date-parts":[[2017,12,1]],"date-time":"2017-12-01T12:41:32Z","timestamp":1512132092000},"page":"4017-4029","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":8,"title":["M<\/i>\n -fuzzifying gated amalgamations of\n M<\/i>\n -fuzzifying geometric interval spaces"],"prefix":"10.1177","volume":"33","author":[{"given":"Xiu-Yun","family":"Wu","sequence":"first","affiliation":[{"name":"School of Science, Hunan University of Science and Engineering, Hunan, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shi-Zhong","family":"Bai","sequence":"additional","affiliation":[{"name":"School of Mathematics and Computational Science, Wuyi University, Guangdong, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2017,12]]},"reference":[{"key":"e_1_3_2_2_2","first-page":"289","article-title":"Geometric convexity, i","volume":"2","author":"Cantwell J.","year":"1974","unstructured":"CantwellJ. and KayD.C., Geometric convexity, i, Bull Inst Math Acad Sinica2 (1974), 289\u2013307.","journal-title":"Bull Inst Math Acad Sinica"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2003.07.014"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.5269\/bspm.v32i2.19868"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.5666\/KMJ.2014.54.3.413"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2007.05.001"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.1080\/00029890.1962.11989897"},{"key":"e_1_3_2_8_2","first-page":"22","article-title":"Lattice-valued fuzzy convex geometry","volume":"164","author":"Maruyama Y.","year":"2009","unstructured":"MaruyamaY., Lattice-valued fuzzy convex geometry, Optimization164 (2009), 22\u201337.","journal-title":"Optimization"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(78)90199-1"},{"key":"e_1_3_2_10_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4613-9438-9"},{"key":"e_1_3_2_11_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00940467"},{"key":"e_1_3_2_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(94)90076-0"},{"key":"e_1_3_2_13_2","first-page":"65","article-title":"Theory of L\n \n \u03b2\n -nested sets and L\n \n \u03b1\n -nested sets and its applications","volume":"9","author":"Shi F.G.","year":"1997","unstructured":"ShiF.G., Theory of L\u03b2-nested sets and L\u03b1-nested sets and its applications, Fuzzy Syst Math9 (1997), 65\u201372. 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