{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:54:17Z","timestamp":1777704857811,"version":"3.51.4"},"reference-count":23,"publisher":"SAGE Publications","issue":"6","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2021,6,21]]},"abstract":"<jats:p>We define statistical Ces\u00e0ro and statistical logarithmic summability methods of sequences in intuitionistic fuzzy normed spaces(IFNS) and give slowly oscillating type and Hardy type Tauberian conditions under which statistical Ces\u00e0ro summability and statistical logarithmic summability imply convergence in IFNS. Besides, we obtain analogous results for the higher order summability methods as corollaries. Also, two theorems concerning the convergence of statistically convergent sequences in IFNS are proved in the paper.<\/jats:p>","DOI":"10.3233\/jifs-210596","type":"journal-article","created":{"date-parts":[[2021,5,5]],"date-time":"2021-05-05T04:54:24Z","timestamp":1620190464000},"page":"12433-12442","source":"Crossref","is-referenced-by-count":3,"title":["Tauberian theorems for statistical Ces\u00e0ro and statistical logarithmic summability of sequences in intuitionistic fuzzy normed spaces"],"prefix":"10.1177","volume":"40","author":[{"given":"Enes","family":"Yavuz","sequence":"first","affiliation":[{"name":"Department of Mathematics, Manisa Celal Bayar University, Manisa, Turkey"}]}],"member":"179","reference":[{"key":"10.3233\/JIFS-210596_ref1","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"},{"key":"10.3233\/JIFS-210596_ref3","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/S0165-0114(86)80034-3","article-title":"Intuitionistic fuzzy sets","volume":"20","author":"Atanassov","year":"1986","journal-title":"Fuzzy Sets Syst"},{"key":"10.3233\/JIFS-210596_ref4","doi-asserted-by":"crossref","first-page":"1039","DOI":"10.1016\/j.chaos.2004.02.051","article-title":"Intuitionistic fuzzy metric spaces","volume":"22","author":"Park","year":"2004","journal-title":"Chaos Solitons Fractals"},{"key":"10.3233\/JIFS-210596_ref5","doi-asserted-by":"crossref","first-page":"331","DOI":"10.1016\/j.chaos.2005.03.019","article-title":"On the intuitionistic fuzzy topological spaces","volume":"27","author":"Saadati","year":"2006","journal-title":"Chaos Solitons Fractals"},{"key":"10.3233\/JIFS-210596_ref6","doi-asserted-by":"crossref","first-page":"763","DOI":"10.1016\/j.chaos.2006.05.046","article-title":"Statistical convergence on intuitionistic fuzzy normed spaces","volume":"35","author":"Karaku\u015f","year":"2008","journal-title":"Chaos Solitons Fractals"},{"key":"10.3233\/JIFS-210596_ref7","doi-asserted-by":"crossref","first-page":"142","DOI":"10.1016\/j.cam.2009.07.005","article-title":"On lacunary statistical convergence with respect to the intuitionistic fuzzy normed space","volume":"233","author":"Mursaleen","year":"2009","journal-title":"J Comput Appl Math"},{"key":"10.3233\/JIFS-210596_ref8","doi-asserted-by":"crossref","first-page":"1731","DOI":"10.1016\/j.chaos.2009.03.086","article-title":"On generalized statistical convergence in intuitionistic fuzzy normed space","volume":"42","author":"Mohiuddine","year":"2009","journal-title":"Chaos Solitons Fractals"},{"key":"10.3233\/JIFS-210596_ref9","doi-asserted-by":"crossref","first-page":"603","DOI":"10.1016\/j.camwa.2009.11.002","article-title":"On the ideal convergence of double sequences in intuitionistic fuzzy normed spaces","volume":"59","author":"Mursaleen","year":"2010","journal-title":"Comput Math Appl"},{"issue":"4","key":"10.3233\/JIFS-210596_ref10","doi-asserted-by":"crossref","first-page":"725","DOI":"10.3233\/IFS-2012-0592","article-title":"\u03bb-ideal convergence in intuitionistic fuzzy 2-normed linear space","volume":"24","author":"Esi","year":"2013","journal-title":"J Intell Fuzzy Syst"},{"issue":"3","key":"10.3233\/JIFS-210596_ref11","doi-asserted-by":"crossref","first-page":"1289","DOI":"10.3233\/IFS-130815","article-title":"Lacunary statistical convergence of sequences of functions in intuitionistic fuzzy normed space","volume":"26","author":"Karakaya","year":"2014","journal-title":"J Intell Fuzzy Syst"},{"issue":"4","key":"10.3233\/JIFS-210596_ref12","doi-asserted-by":"crossref","first-page":"1621","DOI":"10.3233\/IFS-141128","article-title":"Certain summability methods in intuitionistic fuzzy normed spaces","volume":"27","author":"Sava\u015f","year":"2014","journal-title":"J Intell Fuzzy Syst"},{"issue":"3","key":"10.3233\/JIFS-210596_ref13","doi-asserted-by":"crossref","first-page":"1299","DOI":"10.3233\/IFS-141415","article-title":"Results on lacunary difference ideal convergence in intuitionistic fuzzy normed linear spaces","volume":"28","author":"Debnath","year":"2015","journal-title":"J Intell Fuzzy Syst"},{"key":"10.3233\/JIFS-210596_ref14","first-page":"113","article-title":"Weighted statistical convergence in intuitionistic fuzzy normed linear spaces","volume":"8","author":"Altunda\u011f","year":"2017","journal-title":"J Inequal Spec Funct"},{"issue":"6","key":"10.3233\/JIFS-210596_ref15","doi-asserted-by":"crossref","first-page":"5597","DOI":"10.3233\/JIFS-181455","article-title":"Fibonacci statistical convergence on intuitionistic fuzzy normed spaces","volume":"36","author":"Kiri\u015fci","year":"2019","journal-title":"J Intell Fuzzy Syst"},{"key":"10.3233\/JIFS-210596_ref16","doi-asserted-by":"crossref","first-page":"2315","DOI":"10.1007\/s00500-020-05301-z","article-title":"Ces\u00e0ro summability of sequences in intuitionistic fuzzy normed spaces and related Tauberian theorems","volume":"25","author":"Talo","year":"2021","journal-title":"Soft Comput"},{"issue":"2","key":"10.3233\/JIFS-210596_ref17","doi-asserted-by":"crossref","first-page":"101","DOI":"10.33401\/fujma.792994","article-title":"On the logarithmic summability of sequences in intuitionistic fuzzy normed spaces","volume":"3","author":"Yavuz","year":"2020","journal-title":"FUJMA"},{"key":"10.3233\/JIFS-210596_ref18","doi-asserted-by":"crossref","first-page":"931","DOI":"10.1016\/j.chaos.2006.10.019","article-title":"Some results on the IF-normed spaces","volume":"37","author":"Lael","year":"2008","journal-title":"Chaos Solitons Fractals"},{"issue":"2","key":"10.3233\/JIFS-210596_ref19","first-page":"449","article-title":"Compact and bounded sets in intuitionistic fuzzy metric spaces","volume":"40","author":"Efe","year":"2007","journal-title":"Demonstr Math"},{"issue":"1","key":"10.3233\/JIFS-210596_ref20","first-page":"8","article-title":"Ces\u00e0ro summability of double sequences of sets","volume":"25","author":"Nuray","year":"2014","journal-title":"Gen Math Notes"},{"issue":"2","key":"10.3233\/JIFS-210596_ref21","first-page":"176","article-title":"Lacunary statistical summability of sequences of sets","volume":"3","author":"Ulusu","year":"2015","journal-title":"Konuralp J Math"},{"issue":"1","key":"10.3233\/JIFS-210596_ref22","first-page":"561","article-title":"I 2 -Ces\u00e0ro summability of double sequences of sets","volume":"9","author":"Ulusu","year":"2020","journal-title":"PJM"},{"issue":"2","key":"10.3233\/JIFS-210596_ref23","doi-asserted-by":"crossref","first-page":"207","DOI":"10.4064\/cm99-2-6","article-title":"Ordinary convergence follows from statistical summability (C, 1) in the case of slowly decreasing or oscillating sequences","volume":"99","author":"M\u00f3ricz","year":"2004","journal-title":"Colloq Math"},{"key":"10.3233\/JIFS-210596_ref24","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1524\/anly.2004.24.14.127","article-title":"Theorems relating to statistical harmonic summability and ordinary convergence of slowly decreasing or oscillating sequences","volume":"24","author":"M\u00f3ricz","year":"2004","journal-title":"Analysis"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"link":[{"URL":"https:\/\/content.iospress.com\/download?id=10.3233\/JIFS-210596","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:42:11Z","timestamp":1777455731000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/full\/10.3233\/JIFS-210596"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,6,21]]},"references-count":23,"journal-issue":{"issue":"6"},"URL":"https:\/\/doi.org\/10.3233\/jifs-210596","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,6,21]]}}}