{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,13]],"date-time":"2026-02-13T23:41:24Z","timestamp":1771026084802,"version":"3.50.1"},"reference-count":24,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2019,7,15]],"date-time":"2019-07-15T00:00:00Z","timestamp":1563148800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In the present paper some different types of boundedness in fuzzy normed linear spaces of type     ( X , N , \u2217 )    , where \u2217 is an arbitrary t-norm, are considered. These boundedness concepts are very general and some of them have no correspondent in the classical topological metrizable linear spaces. Properties of such bounded sets are given and we make a comparative study among these types of boundedness. Among them there are various concepts concerning symmetrical properties of the studied objects arisen from the classical setting appropriate for this journal topics. We establish the implications between them and illustrate by examples that these concepts are not similar.<\/jats:p>","DOI":"10.3390\/sym11070923","type":"journal-article","created":{"date-parts":[[2019,7,16]],"date-time":"2019-07-16T02:23:16Z","timestamp":1563243796000},"page":"923","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["A Study of Boundedness in Fuzzy Normed Linear Spaces"],"prefix":"10.3390","volume":"11","author":[{"given":"Tudor","family":"B\u00eenzar","sequence":"first","affiliation":[{"name":"Department of Mathematics, Politehnica University of Timi\u015foara, Regina Maria 1, RO-300004 Timi\u015foara, Romania"}]},{"given":"Flavius","family":"Pater","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Politehnica University of Timi\u015foara, Regina Maria 1, RO-300004 Timi\u015foara, Romania"}]},{"given":"Sorin","family":"N\u0103d\u0103ban","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, Aurel Vlaicu University of Arad, Elena Dr\u0103goi 2, RO-310330 Arad, Romania"}]}],"member":"1968","published-online":{"date-parts":[[2019,7,15]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1016\/0165-0114(81)90082-8","article-title":"Fuzzy topological vector spaces I","volume":"6","author":"Katsaras","year":"1981","journal-title":"Fuzzy Sets Syst."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1016\/0165-0114(84)90034-4","article-title":"Fuzzy topological vector spaces II","volume":"12","author":"Katsaras","year":"1984","journal-title":"Fuzzy Sets Syst."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1016\/0165-0114(92)90338-5","article-title":"Finite dimensional fuzzy normed linear space","volume":"48","author":"Felbin","year":"1992","journal-title":"Fuzzy Sets Syst."},{"key":"ref_4","first-page":"429","article-title":"Fuzzy linear operator and fuzzy normed linear spaces","volume":"86","author":"Cheng","year":"1994","journal-title":"Bull. 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