{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:45:28Z","timestamp":1777704328148,"version":"3.51.4"},"reference-count":39,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2018,8,17]],"date-time":"2018-08-17T00:00:00Z","timestamp":1534464000000},"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]]},"abstract":"<jats:p>\n                    In\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying interval spaces, some properties, including\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying dense property,\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying decomposable property,\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying ramification property and\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying straight property, are introduced and their relations are studied. Based on these properties, notions of\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying Bryant-Webster spaces and\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying join spaces are introduced. It is proved that the category of\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying Bryant-Webster spaces and\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying convexity preserving mappings can be characterized by the category of\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying join spaces and\n                    <jats:italic>M<\/jats:italic>\n                    -fuzzifying join preserving mappings.\n                  <\/jats:p>","DOI":"10.3233\/jifs-18690","type":"journal-article","created":{"date-parts":[[2018,8,17]],"date-time":"2018-08-17T11:24:09Z","timestamp":1534505049000},"page":"3807-3819","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":3,"title":["<i>M<\/i>\n                    -fuzzifying Bryant-Webster spaces and\n                    <i>M<\/i>\n                    -fuzzifying join spaces"],"prefix":"10.1177","volume":"35","author":[{"given":"Xiu-Yun","family":"Wu","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China"},{"name":"School of Science, Hunan Institute of Science and Engineering, Yongzhou, China"}]},{"given":"Fu-Gui","family":"Shi","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China"}]}],"member":"179","published-online":{"date-parts":[[2018,8,17]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-1765(02)00117-9"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1080\/00029890.1990.11995655"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.1998.5918"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(72)90268-5"},{"key":"e_1_3_2_6_2","first-page":"289","article-title":"Geometric convexity, i","volume":"2","author":"Cantwell J.","year":"1974","unstructured":"CantwellJ. and KayD.C., Geometric convexity, i, Inst Math Acad Sinica 2 (1974), 289\u2013307.","journal-title":"Inst Math Acad Sinica"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2003.07.014"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1017\/S0004972700012417"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1080\/00029890.1962.11989897"},{"key":"e_1_3_2_10_2","unstructured":"KubisW. Abstract convex structures in topology and set theory PhD thesis University of Silesia Katowice Poland 1999."},{"key":"e_1_3_2_11_2","doi-asserted-by":"publisher","DOI":"10.1080\/0233193021000015587"},{"key":"e_1_3_2_12_2","first-page":"22","article-title":"Lattice-valued fuzzy convex geometry","volume":"1641","author":"Maruyama Y.","year":"2009","unstructured":"MaruyamaY., Lattice-valued fuzzy convex geometry, Optimization 1641 (2009), 22\u201337.","journal-title":"Optimization"},{"key":"e_1_3_2_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/0012-365X(78)90199-1"},{"issue":"3","key":"e_1_3_2_14_2","first-page":"229","article-title":"On the convexity of sets","volume":"40","author":"Nachbin L.","year":"1992","unstructured":"NachbinL., On the convexity of sets, Acad Sci Math 40(3) (1992), 229\u2013234.","journal-title":"Acad Sci Math"},{"key":"e_1_3_2_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2016.02.014"},{"issue":"4","key":"e_1_3_2_16_2","first-page":"51","article-title":"Characterizations of L-convex spaces","volume":"13","author":"Pang B.","year":"2016","unstructured":"PangB. and ZhaoY., Characterizations of L-convex spaces, Iran J Fuzzy Syst 13(4) (2016), 51\u201361.","journal-title":"Iran J Fuzzy Syst"},{"key":"e_1_3_2_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijar.2017.07.003"},{"key":"e_1_3_2_18_2","first-page":"100","article-title":"Geometries and join spaces","volume":"257","author":"Prenowitz W.","year":"1972","unstructured":"PrenowitzW. and JantosciakW., Geometries and join spaces, J Reine Angew Math 257 (1972), 100\u2013128.","journal-title":"J Reine Angew Math"},{"key":"e_1_3_2_19_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00940467"},{"key":"e_1_3_2_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(94)90076-0"},{"key":"e_1_3_2_21_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10203-010-0103-x"},{"key":"e_1_3_2_22_2","unstructured":"ShenC. and ShiF.G. L-convex systems and the categorical isomorphism to scott-hull operators Iran J Fuzzy Syst 15(2) (2018) 23\u201340."},{"issue":"4","key":"e_1_3_2_23_2","article-title":"Theory of L\n                  \n                     \u03b2\n                  -nested sets and L\n                  \n                     \u03b2\n                  -nested sets and its applications,65\u201372. (Chinese)","volume":"9","author":"Shi F.G.","year":"1995","unstructured":"ShiF.G., Theory of L\u03b2-nested sets and L\u03b2-nested sets and its applications,65\u201372. (Chinese), Fuzzy Syst Math 9(4) (1995), .","journal-title":"Fuzzy Syst Math"},{"key":"e_1_3_2_24_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2008.09.002"},{"issue":"5","key":"e_1_3_2_25_2","first-page":"127","article-title":"Categories isomorphic to the category of L-fuzzy closure system spaces","volume":"10","author":"Shi F.G.","year":"2013","unstructured":"ShiF.G. and PangB., Categories isomorphic to the category of L-fuzzy closure system spaces, Iran J Fuzzy Syst 10(5) (2013), 127\u2013146.","journal-title":"Iran J Fuzzy Syst"},{"key":"e_1_3_2_26_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-151765"},{"key":"e_1_3_2_27_2","doi-asserted-by":"crossref","unstructured":"ShiF.G. and XiuZ.Y. A new approach to the fuzzification of convex structures 1\u201312 Article ID J Appl Math (2014) 249183.","DOI":"10.1155\/2014\/249183"},{"key":"e_1_3_2_28_2","doi-asserted-by":"publisher","DOI":"10.22436\/jnsa.010.07.25"},{"key":"e_1_3_2_29_2","doi-asserted-by":"publisher","DOI":"10.1112\/plms\/s3-48.1.1"},{"key":"e_1_3_2_30_2","first-page":"1993","article-title":"Noth-Holland, New-York","author":"de Vel van M.L.J.","unstructured":"de Vel vanM.L.J., Noth-Holland, New-York, Theory of Convex structures 1993.","journal-title":"Theory of Convex structures"},{"key":"e_1_3_2_31_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(98)00078-5"},{"key":"e_1_3_2_32_2","article-title":"Shanxi Normal University Press, Xi\u2019an, (in chinese)","author":"Wang G.J.","year":"1988","unstructured":"WangG.J., Shanxi Normal University Press, Xi\u2019an, (in chinese), Theory of L-fuzzy topological spaces (1988), .","journal-title":"Theory of L-fuzzy topological spaces"},{"key":"e_1_3_2_33_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-152015"},{"key":"e_1_3_2_34_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-16667"},{"key":"e_1_3_2_35_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-161589"},{"key":"e_1_3_2_36_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-17903"},{"key":"e_1_3_2_37_2","unstructured":"WuX.Y. and LiE.Q. Category and subcategories of (L M)-fuzzy convex spaces online Iran J Fuzzy Syst (2018) . doi: 10.22111\/ijfs.2018.3857."},{"issue":"1","key":"e_1_3_2_38_2","first-page":"145","article-title":"M-fuzzifying interval spaces","volume":"14","author":"Xiu Z.Y.","year":"2017","unstructured":"XiuZ.Y. and ShiF.G., M-fuzzifying interval spaces, Iran J Fuzzy Syst 14(1) (2017), 145\u2013162.","journal-title":"Iran J Fuzzy Syst"},{"key":"e_1_3_2_39_2","unstructured":"XiuZ.Y. and PangB. Base axioms and subbase axioms in Mfuzzifying convex spaces online Iran J Fuzzy Syst 15(2) (2018) 75\u201387."},{"key":"e_1_3_2_40_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-16661"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-18690","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.3233\/JIFS-18690","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-18690","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:40:57Z","timestamp":1777455657000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/JIFS-18690"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,8,17]]},"references-count":39,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2018,10]]}},"alternative-id":["10.3233\/JIFS-18690"],"URL":"https:\/\/doi.org\/10.3233\/jifs-18690","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,8,17]]}}}