{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,20]],"date-time":"2025-11-20T12:47:21Z","timestamp":1763642841421},"reference-count":25,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2020,3,29]],"date-time":"2020-03-29T00:00:00Z","timestamp":1585440000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,3,29]],"date-time":"2020-03-29T00:00:00Z","timestamp":1585440000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comp. Appl. Math."],"published-print":{"date-parts":[[2020,5]]},"DOI":"10.1007\/s40314-020-1139-3","type":"journal-article","created":{"date-parts":[[2020,3,29]],"date-time":"2020-03-29T19:02:25Z","timestamp":1585508545000},"update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["The existence of fuzzy Dedekind completion of Archimedean fuzzy Riesz space"],"prefix":"10.1007","volume":"39","author":[{"given":"Mobashir","family":"Iqbal","sequence":"first","affiliation":[]},{"given":"Zia","family":"Bashir","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,3,29]]},"reference":[{"issue":"3","key":"1139_CR1","doi-asserted-by":"publisher","first-page":"287","DOI":"10.1007\/s11117-004-7543-x","volume":"9","author":"Y Abramovich","year":"2005","unstructured":"Abramovich Y, Sirotkin G (2005) On order convergence of nets. Positivity 9(3):287\u2013292","journal-title":"Positivity"},{"key":"1139_CR2","doi-asserted-by":"publisher","first-page":"271","DOI":"10.1016\/0020-0255(94)90124-4","volume":"79","author":"N Ajmal","year":"1994","unstructured":"Ajmal N, Thomas KV (1994) Fuzzy lattices. Inf Sci 79:271\u2013291","journal-title":"Inf Sci"},{"key":"1139_CR3","doi-asserted-by":"crossref","unstructured":"Aliprantis CD, Burkinshaw O (2003) Locally solid Riesz spaces with applications to economics, 2nd edn. Mathematical Surveys and Monographs, vol 105. American Mathematical Society, Providence","DOI":"10.1090\/surv\/105"},{"key":"1139_CR4","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4020-5008-4","volume-title":"Positive operator","author":"CD Aliprintis","year":"2006","unstructured":"Aliprintis CD, Burkinshaw O (2006) Positive operator. Spriger, Dordrecht"},{"key":"1139_CR5","doi-asserted-by":"publisher","first-page":"292","DOI":"10.1007\/BF03322166","volume":"31","author":"I Beg","year":"1997","unstructured":"Beg I (1997) $${\\sigma }$$-complete fuzzy Riesz spaces. Results Math 31:292\u2013299","journal-title":"Results Math"},{"key":"1139_CR6","first-page":"849","volume":"6","author":"I Beg","year":"1998","unstructured":"Beg I (1998) Extenssion of fuzzy positive linear operator. J Fuzzy Math 6:849\u2013855","journal-title":"J Fuzzy Math"},{"key":"1139_CR7","first-page":"211","volume":"2","author":"I Beg","year":"1994","unstructured":"Beg I, Islam M (1994) Fuzzy Riesz spaces. J Fuzzy Math 2:211\u2013241","journal-title":"J Fuzzy Math"},{"key":"1139_CR8","first-page":"659","volume":"3","author":"I Beg","year":"1995","unstructured":"Beg I, Islam M (1995) Fuzzy ordered linear spaces. J Fuzzy Math 3:659\u2013670","journal-title":"J Fuzzy Math"},{"key":"1139_CR9","first-page":"413","volume":"5","author":"I Beg","year":"1997","unstructured":"Beg I, Islam M (1997) Fuzzy Archimedean spaces. J Fuzzy Math 5:413\u2013423","journal-title":"J Fuzzy Math"},{"key":"1139_CR10","doi-asserted-by":"publisher","first-page":"113","DOI":"10.1016\/S0165-0114(02)00436-0","volume":"137","author":"U Bodenhofer","year":"2003","unstructured":"Bodenhofer U (2003) Representations and constructions of similarity-based fuzzy orderings. Fuzzy Sets Syst 137:113\u2013137","journal-title":"Fuzzy Sets Syst"},{"issue":"4","key":"1139_CR11","first-page":"361","volume":"17","author":"I Chon","year":"2009","unstructured":"Chon I (2009) Partial order relations and fuzzy lattices. Korean J Math 17(4):361\u2013374","journal-title":"Korean J Math"},{"issue":"1","key":"1139_CR12","first-page":"55","volume":"13","author":"B Davvaz","year":"2011","unstructured":"Davvaz B, Kazanci O (2011) A new kind of fuzzy sublattice (ideal, filter) of a lattice. Int J Fuzzy Syst 13(1):55\u201363","journal-title":"Int J Fuzzy Syst"},{"key":"1139_CR13","doi-asserted-by":"publisher","first-page":"649","DOI":"10.1007\/s11856-017-1530-y","volume":"220","author":"N Gao","year":"2017","unstructured":"Gao N, Triostsky VG, Xanthos F (2017) UO-convergence and its applications to Cesaro mean in Banach lattices. Isr J Math 220:649\u2013689","journal-title":"Isr J Math"},{"key":"1139_CR14","first-page":"77","volume":"1","author":"L Hong","year":"2015","unstructured":"Hong L (2015) Fuzzy Riesz subspaces, fuzzy ideals, fuzzy bands and fuzzy band projections. Analele Universitatii de Vest din Timisoara: Seria Matematica-Informatica 1:77\u2013108","journal-title":"Analele Universitatii de Vest din Timisoara: Seria Matematica-Informatica"},{"key":"1139_CR15","doi-asserted-by":"publisher","first-page":"971","DOI":"10.3390\/sym11080971","volume":"11","author":"M Iqbal","year":"2019","unstructured":"Iqbal M, Malik MGA, Bashir Y, Bashir Z (2019) The unbounded fuzzy order convergence in fuzzy Riesz spaces. Symmetry 11:971","journal-title":"Symmetry"},{"key":"1139_CR16","volume-title":"Riesz spaces, I","author":"WAJ Luxemburg","year":"1971","unstructured":"Luxemburg WAJ, Zaanen AC (1971) Riesz spaces, I. North-Holland, Amsterdam"},{"issue":"3","key":"1139_CR17","first-page":"569","volume":"24","author":"C Park","year":"2018","unstructured":"Park C, Movahednia E, Mosadegh SMSM, Mursaleen M (2018) Riesz fuzzy normed spaces and stability of a lattice preserving functional equation. J Comput Anal Appl 24(3):569\u2013579","journal-title":"J Comput Anal Appl"},{"key":"1139_CR18","doi-asserted-by":"publisher","first-page":"221","DOI":"10.1016\/0165-0114(92)90134-P","volume":"46","author":"P Venugopalan","year":"1992","unstructured":"Venugopalan P (1992) Fuzzy ordered sets. Fuzzy Sets Syst 46:221\u2013226","journal-title":"Fuzzy Sets Syst"},{"key":"1139_CR19","doi-asserted-by":"publisher","first-page":"138","DOI":"10.1016\/j.indag.2011.02.004","volume":"21","author":"JH Walt","year":"2011","unstructured":"Walt JH (2011) The order convergence structure. Indag Math 21:138\u2013155","journal-title":"Indag Math"},{"key":"1139_CR20","doi-asserted-by":"publisher","first-page":"2292","DOI":"10.1016\/j.fss.2008.12.002","volume":"160","author":"W Xie","year":"2009","unstructured":"Xie W, Zhang Q, Fan L (2009) The Dedekind\u2013MacNeille completions for fuzzy posets. Fuzzy Sets Syst 160:2292\u20132316","journal-title":"Fuzzy Sets Syst"},{"key":"1139_CR21","doi-asserted-by":"publisher","first-page":"223","DOI":"10.1016\/j.fiae.2014.08.006","volume":"6","author":"W Yang","year":"2014","unstructured":"Yang W (2014) Fuzzy weak regular, strong and preassociative filters in residuated lattices. Fuzzy Inf Eng 6:223\u2013233","journal-title":"Fuzzy Inf Eng"},{"key":"1139_CR22","doi-asserted-by":"publisher","first-page":"231","DOI":"10.1016\/0165-0114(90)90196-D","volume":"35","author":"B Yuan","year":"1990","unstructured":"Yuan B, Wu W (1990) Fuzzy ideals on a distributive lattice. Fuzzy Sets Syst 35:231\u2013240","journal-title":"Fuzzy Sets Syst"},{"key":"1139_CR23","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-60637-3","volume-title":"Introduction to operator theory in Riesz spaces","author":"AC Zaanen","year":"1997","unstructured":"Zaanen AC (1997) Introduction to operator theory in Riesz spaces. Springer, New York"},{"key":"1139_CR24","doi-asserted-by":"publisher","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","volume":"8","author":"LA Zadeh","year":"1965","unstructured":"Zadeh LA (1965) Fuzzy sets. Inf Control 8:338\u2013353","journal-title":"Inf Control"},{"key":"1139_CR25","doi-asserted-by":"publisher","first-page":"177","DOI":"10.1016\/S0020-0255(71)80005-1","volume":"8","author":"LA Zadeh","year":"1971","unstructured":"Zadeh LA (1971) Similarity relations and fuzzy ordering. Inf Sci 8:177\u2013200","journal-title":"Inf Sci"}],"container-title":["Computational and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-020-1139-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s40314-020-1139-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-020-1139-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,3,28]],"date-time":"2021-03-28T23:26:44Z","timestamp":1616974004000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s40314-020-1139-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,3,29]]},"references-count":25,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2020,5]]}},"alternative-id":["1139"],"URL":"https:\/\/doi.org\/10.1007\/s40314-020-1139-3","relation":{},"ISSN":["2238-3603","1807-0302"],"issn-type":[{"value":"2238-3603","type":"print"},{"value":"1807-0302","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,3,29]]},"assertion":[{"value":"15 June 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"4 February 2020","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 March 2020","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 March 2020","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Compliance with ethical standards"}},{"value":"The authors declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflictof interest"}}],"article-number":"116"}}