{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:39:57Z","timestamp":1777703997948,"version":"3.51.4"},"reference-count":27,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2017,7,12]],"date-time":"2017-07-12T00:00:00Z","timestamp":1499817600000},"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: Applications in Engineering and Technology"],"published-print":{"date-parts":[[2017,8,24]]},"abstract":"<jats:p>\n                    With a complete Heyting algebra\n                    <jats:italic toggle=\"yes\">L<\/jats:italic>\n                    as the truth value table, we introduce\n                    <jats:italic toggle=\"yes\">L<\/jats:italic>\n                    -ordered convex spaces,\n                    <jats:italic toggle=\"yes\">L<\/jats:italic>\n                    -semilattice convex spaces,\n                    <jats:italic toggle=\"yes\">L<\/jats:italic>\n                    -lattice convex spaces and\n                    <jats:italic toggle=\"yes\">L<\/jats:italic>\n                    -standard convex spaces. These kinds of structures can be extracted from posets, semilattices, lattices and vector spaces. Above all, we obtain their corresponding\n                    <jats:italic toggle=\"yes\">L<\/jats:italic>\n                    -convex hull formulae and analyze their corresponding\n                    <jats:italic toggle=\"yes\">L<\/jats:italic>\n                    -convexity-preserving (resp.,\n                    <jats:italic toggle=\"yes\">L<\/jats:italic>\n                    -convex-to-convex) mappings.\n                  <\/jats:p>","DOI":"10.3233\/jifs-161927","type":"journal-article","created":{"date-parts":[[2017,7,14]],"date-time":"2017-07-14T13:41:14Z","timestamp":1500039674000},"page":"1385-1395","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":14,"title":["Formulations of\n                    <i>L<\/i>\n                    -convex hulls on some algebraic structures"],"prefix":"10.1177","volume":"33","author":[{"given":"Yu","family":"Zhong","sequence":"first","affiliation":[{"name":"Beijing Institute of Technology","place":["P.R. China"]},{"name":"Beijing Institute of Technology","place":["P.R. China"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fu-Gui","family":"Shi","sequence":"additional","affiliation":[{"name":"Beijing Institute of Technology","place":["P.R. China"]},{"name":"Beijing Institute of Technology","place":["P.R. China"]}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2017,7,12]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0255(94)90124-4"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1017\/S0004972700012417"},{"key":"e_1_3_2_4_2","volume-title":"Introduction to Lattices and Order","author":"Davey B.A.","year":"1990","unstructured":"DaveyB.A. and PriestleyH.A., Introduction to Lattices and Order, Cambridge University Press, Cambridge, 1990."},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/S1385-7258(63)50021-3"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2011.05.051"},{"key":"e_1_3_2_7_2","unstructured":"JamisonR.E. A general theory of convexity Dissertation University of Washington Seattle Washington 1974."},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.2140\/pjm.1971.38.471"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00147781"},{"key":"e_1_3_2_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(85)90205-7"},{"key":"e_1_3_2_11_2","doi-asserted-by":"publisher","DOI":"10.1080\/0233193021000015587"},{"key":"e_1_3_2_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(80)90025-1"},{"key":"e_1_3_2_13_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, RIMS Kokyuroku 1641 (2009), 22\u201337.","journal-title":"RIMS Kokyuroku"},{"key":"e_1_3_2_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2016.02.014"},{"key":"e_1_3_2_15_2","first-page":"51","article-title":"Characterizatons of L-convex spaces","volume":"13","author":"Pang B.","year":"2016","unstructured":"PangB. and ZhaoY., Characterizatons of L-convex spaces, Iranian Journal of Fuzzy Systems 13 (2016), 51\u201361.","journal-title":"Iranian Journal of Fuzzy Systems"},{"key":"e_1_3_2_16_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4615-5079-2_3"},{"key":"e_1_3_2_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(94)90076-0"},{"key":"e_1_3_2_18_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-151765"},{"key":"e_1_3_2_19_2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1155\/2014\/249183","article-title":"A new approach to the fuzzification of convex structures","volume":"2014","author":"Shi F.G.","year":"2014","unstructured":"ShiF.G. and XiuZ.Y., A new approach to the fuzzification of convex structures, Journal of Applied Mathematics 2014 (2014), 1\u201312.","journal-title":"Journal of Applied Mathematics"},{"key":"e_1_3_2_20_2","article-title":"(L, M)-fuzzy convex structures","author":"Shi F.G.","unstructured":"ShiF.G., XiuZ.Y., (L, M)-fuzzy convex structures, Journal of Nonlinear Science and Applications, in press.","journal-title":"Journal of Nonlinear Science and Applications"},{"key":"e_1_3_2_21_2","doi-asserted-by":"publisher","DOI":"10.1016\/1385-7258(84)90045-3"},{"key":"e_1_3_2_22_2","volume-title":"Theory of Convex Structures","author":"van de Vel M.","year":"1993","unstructured":"van de VelM., Theory of Convex Structures, North Holland, Amsterdam, 1993."},{"key":"e_1_3_2_23_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-152015"},{"key":"e_1_3_2_24_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-130996"},{"key":"e_1_3_2_25_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(94)00285-F"},{"key":"e_1_3_2_26_2","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0255(87)90035-1"},{"key":"e_1_3_2_27_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"e_1_3_2_28_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-2005-00246"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems: Applications in Engineering and Technology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-161927","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.3233\/JIFS-161927","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-161927","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:40:11Z","timestamp":1777455611000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/JIFS-161927"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,7,12]]},"references-count":27,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2017,8,24]]}},"alternative-id":["10.3233\/JIFS-161927"],"URL":"https:\/\/doi.org\/10.3233\/jifs-161927","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,7,12]]}}}