{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,2]],"date-time":"2026-02-02T11:57:27Z","timestamp":1770033447542,"version":"3.49.0"},"reference-count":51,"publisher":"SAGE Publications","issue":"2","license":[{"start":{"date-parts":[[2021,7,24]],"date-time":"2021-07-24T00:00:00Z","timestamp":1627084800000},"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":[[2021,9,15]]},"abstract":"<jats:p>\n                    Statistical convergence of sequences has been studied in neutrosophic normed spaces (NNS) by Kiri\u015fci and \u015eim\u015fek [\n                    <jats:xref ref-type=\"bibr\">39<\/jats:xref>\n                    ]. Ideal convergence is more general than statistical convergence for sequences. This has motivated us to study the ideal convergence in NNS. In this paper, we study the concept of ideal convergence and ideal Cauchy for sequences in NNS.\n                  <\/jats:p>","DOI":"10.3233\/jifs-201568","type":"journal-article","created":{"date-parts":[[2021,7,27]],"date-time":"2021-07-27T13:12:28Z","timestamp":1627391548000},"page":"2581-2590","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":14,"title":["Ideal convergence of sequences in neutrosophic normed spaces"],"prefix":"10.1177","volume":"41","author":[{"given":"\u00d6mer","family":"Ki\u015fi","sequence":"first","affiliation":[{"name":"Bart\u0131n University","place":["Turkey"]}]}],"member":"179","published-online":{"date-parts":[[2021,7,24]]},"reference":[{"key":"e_1_3_1_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"e_1_3_1_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(86)80034-3"},{"key":"e_1_3_1_4_2","first-page":"115","article-title":"Intuitionistic fuzzyinterpretations of multi-person multicriteria decision making","volume":"1","author":"Atanassov K.T.","year":"2002","unstructured":"AtanassovK.T., PasiG. and YagerR., Intuitionistic fuzzyinterpretations of multi-person multicriteria decision making, Proceedings of First International IEEE Symposium IntelligentSystems 1 (2002), 115\u2013119.","journal-title":"Proceedings of First International IEEE Symposium IntelligentSystems"},{"key":"e_1_3_1_5_2","first-page":"336","article-title":"Fuzzy metric and statistical metricspaces","volume":"11","author":"Kramosil I.","year":"1975","unstructured":"KramosilI. and MichalekJ., Fuzzy metric and statistical metricspaces, Kybernetika 11 (1975), 336\u2013344.","journal-title":"Kybernetika"},{"key":"e_1_3_1_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(84)90069-1"},{"key":"e_1_3_1_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(94)90162-7"},{"key":"e_1_3_1_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(96)00207-2"},{"key":"e_1_3_1_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2004.02.051"},{"key":"e_1_3_1_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2005.03.019"},{"key":"e_1_3_1_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(86)90077-1"},{"key":"e_1_3_1_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(89)90205-4"},{"key":"e_1_3_1_13_2","unstructured":"SmarandacheF. A unifying field in logics: Neutrosophic logic. Neutrosophy Neutrosophic Set Neutrosophic Probability and Statistics Phoenix: Xiquan (2003)."},{"key":"e_1_3_1_14_2","doi-asserted-by":"crossref","unstructured":"YagerR.R. Pythagorean fuzzy subsets In Proceedings of joint IFSAWorld Congress and NAFIPS annual meeting Edmonton Canada (2013) 57\u201361.","DOI":"10.1109\/IFSA-NAFIPS.2013.6608375"},{"issue":"2005","key":"e_1_3_1_15_2","first-page":"287","article-title":"Neutrosophic set, a generalisation of theintuitionistic fuzzy sets","volume":"24","author":"Smarandache F.","unstructured":"SmarandacheF., Neutrosophic set, a generalisation of theintuitionistic fuzzy sets, Int J Pure Appl Math 24(2005), 287\u2013297.","journal-title":"Int J Pure Appl Math"},{"key":"e_1_3_1_16_2","unstructured":"SmarandacheF. Neutrosophy. Neutrosophic Probability Set and Logic ProQuest Information & Learning Ann Arbor Michigan USA (1998)."},{"issue":"2009","key":"e_1_3_1_17_2","first-page":"2414","article-title":"Soft set theory-First results","volume":"41","author":"Molodtsov D.","unstructured":"MolodtsovD., Soft set theory-First results, Computer andMathematics with Applications Solitons and Fractals 41(2009), 2414\u20132421.","journal-title":"Computer andMathematics with Applications Solitons and Fractals"},{"key":"e_1_3_1_18_2","first-page":"429","article-title":"Fuzzy linear operators and fuzzynormed linear spaces","volume":"86","author":"Cheng S.C.","year":"1994","unstructured":"ChengS.C. and MordesonJ.N., Fuzzy linear operators and fuzzynormed linear spaces, Bull Cal Math Soc 86 (1994), 429\u2013436.","journal-title":"Bull Cal Math Soc"},{"key":"e_1_3_1_19_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(84)90034-4"},{"key":"e_1_3_1_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(92)90338-5"},{"key":"e_1_3_1_21_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2004.05.004"},{"issue":"3","key":"e_1_3_1_22_2","first-page":"687","article-title":"Finite dimensional fuzzy normed linearspaces","volume":"11","author":"Bag T.","year":"2003","unstructured":"BagT. and SamantaS.K., Finite dimensional fuzzy normed linearspaces, The Journal of Fuzzy Math 11(3) (2003), 687\u2013705.","journal-title":"The Journal of Fuzzy Math"},{"issue":"2007","key":"e_1_3_1_23_2","first-page":"291","article-title":"Intuitionisticfuzzy n-normed linear space","volume":"44","author":"Vijayabalaji S.","unstructured":"VijayabalajiS., ThillaigovindanN. and JunY.B., Intuitionisticfuzzy n-normed linear space, Bull Korean Math Soc 44(2007), 291\u2013308.","journal-title":"Bull Korean Math Soc"},{"issue":"4","key":"e_1_3_1_24_2","first-page":"574","article-title":"Finite dimensional intuitionisticfuzzy normed linear spaces","volume":"2","author":"Samanta T.K.","year":"2009","unstructured":"SamantaT.K. and JebrilI.H., Finite dimensional intuitionisticfuzzy normed linear spaces, Int J Open Problems Compt Math 2(4) (2009), 574\u2013591.","journal-title":"Int J Open Problems Compt Math"},{"key":"e_1_3_1_25_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.fiae.2017.09.004"},{"key":"e_1_3_1_26_2","first-page":"52","article-title":"Neutrosophic soft normed linear spaces","volume":"23","author":"Bera T.","year":"2018","unstructured":"BeraT. and MahapatraN.K., Neutrosophic soft normed linear spaces, Neutrosophic Sets and Systems 23 (2018), 52\u201371.","journal-title":"Neutrosophic Sets and Systems"},{"issue":"2","key":"e_1_3_1_27_2","first-page":"156","article-title":"Continuity and convergence onneutrosophic soft normed linear spaces","volume":"3","author":"Bera T.","year":"2020","unstructured":"BeraT. and MahapatraN.K., Continuity and convergence onneutrosophic soft normed linear spaces, Intl J Fuzzy CompModel 3(2) (2020), 156\u2013186.","journal-title":"Intl J Fuzzy CompModel"},{"key":"e_1_3_1_28_2","unstructured":"SmarandacheF. Introduction to neutrosophicmeasure neutrosophic integral and neutrosophic probability sitech & educational Columbus: Craiova (2013)."},{"issue":"1951","key":"e_1_3_1_29_2","first-page":"241","article-title":"Sur la convergence statistique","volume":"2","author":"Fast H.","unstructured":"FastH., Sur la convergence statistique, Colloq Math 2(1951), 241\u2013244.","journal-title":"Colloq Math"},{"key":"e_1_3_1_30_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2006.05.046"},{"key":"e_1_3_1_31_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2011.11.034"},{"key":"e_1_3_1_32_2","doi-asserted-by":"publisher","DOI":"10.1155\/2012\/926193"},{"key":"e_1_3_1_33_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-181455"},{"key":"e_1_3_1_34_2","doi-asserted-by":"publisher","DOI":"10.2298\/FIL1102109K"},{"key":"e_1_3_1_35_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2009.03.086"},{"key":"e_1_3_1_36_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2009.07.005"},{"key":"e_1_3_1_37_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2008.09.018"},{"key":"e_1_3_1_38_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2009.11.002"},{"key":"e_1_3_1_39_2","doi-asserted-by":"publisher","DOI":"10.1007\/s40096-020-00335-8"},{"key":"e_1_3_1_40_2","doi-asserted-by":"publisher","unstructured":"KirisciM. and \u015eim\u015fekN. Neutrosophic normed spaces and statistical convergence The Journal of Analysis doi: 10.1007\/s41478-020-00234-0.","DOI":"10.1007\/s41478-020-00234-0"},{"issue":"2","key":"e_1_3_1_41_2","first-page":"221","article-title":"Fixed point theorems inneutrosophic metric spaces","volume":"10","author":"\u015eim\u015fek N.","year":"2019","unstructured":"\u015eim\u015fekN. and Kiri\u015fciM., Fixed point theorems inneutrosophic metric spaces, Sigma J Eng Nat Sci 10(2) (2019), 221\u2013230.","journal-title":"Sigma J Eng Nat Sci"},{"key":"e_1_3_1_42_2","doi-asserted-by":"publisher","unstructured":"KirisciM. \u015eim\u015fekN. and Akyi\u011fitM. Fixed point results for a new metric space Math Meth Appl Sci (2020) 1\u20137. doi: 10.1002\/mma.6189.","DOI":"10.1002\/mma.6189"},{"issue":"2010","key":"e_1_3_1_43_2","first-page":"410","article-title":"Singlevalued neutrosophic sets","volume":"4","author":"Wang H.","unstructured":"WangH., SmarandacheF., ZhangY.Q. and SunderramanR., Singlevalued neutrosophic sets, Multispace Multistruct 4(2010), 410\u2013413.","journal-title":"Multispace Multistruct"},{"key":"e_1_3_1_44_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-130916"},{"key":"e_1_3_1_45_2","doi-asserted-by":"crossref","unstructured":"SmarandacheF. and Vl\u0103d\u0103reanuL. Applications of neutrosophic logic to robotics: An introduction IEEE International Conference on Granular Computing 2011 Kaohsiung Taiwan.","DOI":"10.1109\/GRC.2011.6122666"},{"key":"e_1_3_1_46_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-16598-1_4"},{"issue":"3","key":"e_1_3_1_47_2","first-page":"421","article-title":"Multi-criteria group decision makingmodel using single-valued neutrosophic set","volume":"16","author":"Das S","year":"2020","unstructured":"DasS, DasR and TripathyB.C., Multi-criteria group decision makingmodel using single-valued neutrosophic set, Log Forum 16(3) (2020), 421\u2013429.","journal-title":"Log Forum"},{"key":"e_1_3_1_48_2","first-page":"142","article-title":"Neutrosophic multiset topological space","volume":"35","author":"Das R.","year":"2020","unstructured":"DasR. and TripathyB.C., Neutrosophic multiset topological space, Neutrosophic Sets and Systems 35 (2020), 142\u2013152.","journal-title":"Neutrosophic Sets and Systems"},{"key":"e_1_3_1_49_2","first-page":"135","article-title":"Pairwise neutrosophic-b-open set inneutrosophic bitopological spaces","volume":"38","author":"Das S.","year":"2020","unstructured":"DasS. and TripathyB.C., Pairwise neutrosophic-b-open set inneutrosophic bitopological spaces, Neutrosophic Sets andSystems 38 (2020), 135\u2013144.","journal-title":"Neutrosophic Sets andSystems"},{"key":"e_1_3_1_50_2","doi-asserted-by":"publisher","DOI":"10.2307\/44154069"},{"key":"e_1_3_1_51_2","first-page":"443","article-title":"I-convergence and extremal I-limit points","volume":"55","author":"Kostyrko P.","year":"2005","unstructured":"KostyrkoP., MacajM., \u0160 Sal\u00e1tT. and SleziakM., I-convergence and extremal I-limit points, Math Slovaca 55 (2005), 443\u2013464.","journal-title":"Math Slovaca"},{"key":"e_1_3_1_52_2","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.28.12.535"}],"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-201568","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.3233\/JIFS-201568","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-201568","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,2,2]],"date-time":"2026-02-02T01:21:36Z","timestamp":1769995296000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/JIFS-201568"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,7,24]]},"references-count":51,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2021,9,15]]}},"alternative-id":["10.3233\/JIFS-201568"],"URL":"https:\/\/doi.org\/10.3233\/jifs-201568","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,7,24]]}}}