{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:21:40Z","timestamp":1777702900507,"version":"3.51.4"},"reference-count":35,"publisher":"SAGE Publications","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2019,3,26]]},"DOI":"10.3233\/jifs-18891","type":"journal-article","created":{"date-parts":[[2019,3,26]],"date-time":"2019-03-26T18:54:03Z","timestamp":1553626443000},"page":"2705-2713","source":"Crossref","is-referenced-by-count":0,"title":["A natural method of constructing many-valued convex structures"],"prefix":"10.1177","volume":"36","author":[{"given":"Kai","family":"Wang","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P.R. China"},{"name":"Beijing Key Laboratory on MCAACI, 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. China"},{"name":"Beijing Key Laboratory on MCAACI, Beijing Institute of Technology, Beijing, P.R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","reference":[{"key":"10.3233\/JIFS-18891_ref1","unstructured":"Ad\u00e1mek J. , Herrlich H. , Strecker G.E. , Abstract and Concrete Categories, Wiley, New York, 1990."},{"key":"10.3233\/JIFS-18891_ref2","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4615-0633-1","volume-title":"Fuzzy Relational Systems","author":"B\u011belohl\u00e1vek","year":"2002"},{"key":"10.3233\/JIFS-18891_ref3","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1070\/RM1978v033n01ABEH003730","article-title":"Combinatorial geometry and convexity class","volume":"33","author":"Boltyanskii","year":"1978","journal-title":"Russian Mathematical Surveys"},{"key":"10.3233\/JIFS-18891_ref4","volume-title":"The geometry of geodesics","author":"Busemann","year":"1955"},{"key":"10.3233\/JIFS-18891_ref5","doi-asserted-by":"crossref","first-page":"190","DOI":"10.1016\/0022-247X(68)90057-7","article-title":"Fuzzy topological spaces","volume":"24","author":"Chang","year":"1968","journal-title":"J Math Anal Appl"},{"key":"10.3233\/JIFS-18891_ref6","doi-asserted-by":"crossref","first-page":"2359","DOI":"10.1016\/j.fss.2007.05.001","article-title":"I-fuzzy Alexandrov topologies and specialization orders","volume":"158","author":"Fang","year":"2007","journal-title":"Fuzzy Sets Syst"},{"key":"10.3233\/JIFS-18891_ref7","doi-asserted-by":"crossref","first-page":"292","DOI":"10.1016\/j.fss.2010.07.010","article-title":"Relationships between L-ordered convergence structures and strong L-topologies","volume":"161","author":"Fang","year":"2010","journal-title":"Fuzzy Sets Syst"},{"key":"10.3233\/JIFS-18891_ref8","doi-asserted-by":"crossref","first-page":"395","DOI":"10.1016\/0165-0114(94)90162-7","article-title":"Some results in fuzzy metric spaces","volume":"64","author":"George","year":"1994","journal-title":"Fuzzy Sets Syst"},{"key":"10.3233\/JIFS-18891_ref9","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511542725","volume-title":"Continuous Lattices and Domains","author":"Gierz","year":"2003"},{"key":"10.3233\/JIFS-18891_ref10","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-011-5300-3","volume-title":"Metamathematics of Fuzzy Logic","author":"H\u00e1jek","year":"1998"},{"key":"10.3233\/JIFS-18891_ref11","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1016\/0022-247X(77)90233-5","article-title":"Fuzzy vector spaces and fuzzy topological vector spaces","volume":"68","author":"Katsaras","year":"1977","journal-title":"J Math Anal Appl"},{"key":"10.3233\/JIFS-18891_ref12","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-015-9540-7","volume-title":"Triangular Norms, Trends in Logic","author":"Klement","year":"2000"},{"key":"10.3233\/JIFS-18891_ref13","first-page":"336","article-title":"Fuzzy metrics and statistical metric spaces","volume":"11","author":"Kramosil","year":"1975","journal-title":"Kybernetika"},{"key":"10.3233\/JIFS-18891_ref14","doi-asserted-by":"crossref","first-page":"1865","DOI":"10.1016\/j.fss.2006.02.013","article-title":"Fuzzy preorder and fuzzy topology","volume":"157","author":"Lai","year":"2006","journal-title":"Fuzzy Sets Syst"},{"key":"10.3233\/JIFS-18891_ref15","doi-asserted-by":"crossref","first-page":"3209","DOI":"10.3233\/JIFS-161491","article-title":"On the category of enriched (L,M)-convex spaces","volume":"33","author":"Li","year":"2017","journal-title":"J Intell Fuzzy Syst"},{"key":"10.3233\/JIFS-18891_ref16","first-page":"22","article-title":"Lattice-valued fuzzy convex geometry","volume":"1641","author":"Maruyama","year":"2009","journal-title":"RIMS Kokyuroku"},{"issue":"5","key":"10.3233\/JIFS-18891_ref17","doi-asserted-by":"crossref","first-page":"661","DOI":"10.2989\/16073606.2017.1308976","article-title":"Stratified L-ordered filter spaces","volume":"40","author":"Pang","year":"2017","journal-title":"Quaest Math"},{"issue":"20","key":"10.3233\/JIFS-18891_ref18","doi-asserted-by":"crossref","first-page":"6293","DOI":"10.2298\/FIL1720293P","article-title":"Degrees of separation properties in stratified L-generalized convergence spaces using residual implication","volume":"31","author":"Pang","year":"2017","journal-title":"Filomat"},{"key":"10.3233\/JIFS-18891_ref19","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2018.05.012"},{"issue":"8","key":"10.3233\/JIFS-18891_ref20","doi-asserted-by":"crossref","first-page":"1021","DOI":"10.2989\/16073606.2018.1436613","article-title":"Strong inclusion orders between L-subsets and its applications in L-convex spaces","volume":"41","author":"Pang","year":"2018","journal-title":"Quaest Math"},{"key":"10.3233\/JIFS-18891_ref21","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2018.08.002"},{"issue":"4","key":"10.3233\/JIFS-18891_ref22","first-page":"51","article-title":"Characterizations of L-convex spaces","volume":"13","author":"Pang","year":"2016","journal-title":"Iran J Fuzzy Syst"},{"key":"10.3233\/JIFS-18891_ref23","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/j.ijar.2017.07.003","article-title":"A new definition of order relation for the introduction of algebraic fuzzy closure operators","volume":"92","author":"Pang","year":"2018","journal-title":"Int J Approx Reason"},{"key":"10.3233\/JIFS-18891_ref24","volume-title":"Foundations of Topology\u2013An Approach to Convenient Topology","author":"Preuss","year":"2002"},{"key":"10.3233\/JIFS-18891_ref25","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1016\/0165-0114(94)90076-0","article-title":"On fuzzy topology fuzzy convexity spaces and fuzzy local convexity","volume":"62","author":"Rosa","year":"1994","journal-title":"Fuzzy Sets Syst"},{"issue":"2","key":"10.3233\/JIFS-18891_ref26","first-page":"23","article-title":"L-convex systems and the categorical isomorphism to Scott-hull operators","volume":"15","author":"Shen","year":"2018","journal-title":"Iran J Fuzzy Syst"},{"key":"10.3233\/JIFS-18891_ref27","unstructured":"Shi F.-G. , Xiu Z.-Y. , A new approach to the fuzzification of convex spaces, J Appl Math (2014), Article ID 249183. https:\/\/doi.org\/10.1155\/2014-249183"},{"key":"10.3233\/JIFS-18891_ref28","doi-asserted-by":"crossref","first-page":"409","DOI":"10.3233\/IFS-151765","article-title":"The restricted hull operator of M-fuzzifying convex structures","volume":"30","author":"Shi","year":"2016","journal-title":"J Intell Fuzzy Syst"},{"key":"10.3233\/JIFS-18891_ref29","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1112\/plms\/s3-48.1.1","article-title":"Binary convexities and distributive lattices","volume":"48","author":"van de Vel","year":"1984","journal-title":"Proc London Math Soc"},{"key":"10.3233\/JIFS-18891_ref30","volume-title":"Theory of convex spaces","author":"van de Vel","year":"1993"},{"key":"10.3233\/JIFS-18891_ref31","doi-asserted-by":"crossref","first-page":"2447","DOI":"10.3233\/IFS-152015","article-title":"On M-fuzzifying JHC convex structures and M-fuzzifying Peano interval spaces","volume":"30","author":"Wu","year":"2016","journal-title":"J Intell Fuzzy Syst"},{"key":"10.3233\/JIFS-18891_ref32","doi-asserted-by":"crossref","first-page":"4273","DOI":"10.3233\/JIFS-16667","article-title":"Geometric properties of M-fuzzifying convex structures","volume":"32","author":"Wu","year":"2017","journal-title":"J Intell Fuzzy Syst"},{"issue":"2","key":"10.3233\/JIFS-18891_ref33","first-page":"75","article-title":"Base axioms and subbase axioms in M-fuzzifying convex spaces","volume":"15","author":"Xiu","year":"2018","journal-title":"Iran J Fuzzy Syst"},{"issue":"1","key":"10.3233\/JIFS-18891_ref34","first-page":"145","article-title":"M-fuzzifying interval spaces","volume":"14","author":"Xiu","year":"2017","journal-title":"Iran J Fuzzy Syst"},{"key":"10.3233\/JIFS-18891_ref35","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","article-title":"Fuzzy sets","volume":"8","author":"Zadeh","year":"1965","journal-title":"Inf Control"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"link":[{"URL":"https:\/\/content.iospress.com\/download?id=10.3233\/JIFS-18891","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:37:05Z","timestamp":1777455425000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/full\/10.3233\/JIFS-18891"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,3,26]]},"references-count":35,"journal-issue":{"issue":"3"},"URL":"https:\/\/doi.org\/10.3233\/jifs-18891","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,3,26]]}}}