{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T22:43:41Z","timestamp":1775083421768,"version":"3.50.1"},"reference-count":31,"publisher":"SAGE Publications","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2023,8,24]]},"abstract":"<jats:p>In this study, we define soft quasilinear functionals on soft normed quasilinear spaces and we examine some of its qualities. By using the soft quasilinear operator defined in [6] we specify and prove some theorem related to the continuity and boundedness of soft quasilinear operators and functionals. Furthermore, we give some examples in favor of the soft quasilinear functionals.<\/jats:p>","DOI":"10.3233\/jifs-230035","type":"journal-article","created":{"date-parts":[[2023,7,11]],"date-time":"2023-07-11T10:17:57Z","timestamp":1689070677000},"page":"4847-4856","source":"Crossref","is-referenced-by-count":1,"title":["Soft quasilinear operators in soft normed quasilinear spaces"],"prefix":"10.1177","volume":"45","author":[{"given":"Fatma","family":"Onat Bulak","sequence":"first","affiliation":[{"name":"Department of Mathematics, Batman University, Batman, Turkey"}]},{"given":"Hacer","family":"Bozkurt","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Batman University, Batman, Turkey"}]}],"member":"179","reference":[{"key":"10.3233\/JIFS-230035_ref1","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1016\/S0898-1221(99)00056-5","article-title":"Soft set-theory first results","volume":"37","author":"Molodtsov","year":"1999","journal-title":"Computational and Applied Mathematics"},{"issue":"1","key":"10.3233\/JIFS-230035_ref2","first-page":"37","article-title":"Some new properties of inner product quasilinear spaces","volume":"8","author":"Bozkurt","year":"2016","journal-title":"Bulletin of Mathematical Analysis and Applications"},{"issue":"3","key":"10.3233\/JIFS-230035_ref3","first-page":"10","article-title":"Some new results on inner product qusilinear spaces","author":"Bozkurt","year":"2016","journal-title":"Cogent Mathematics"},{"key":"10.3233\/JIFS-230035_ref4","first-page":"9","article-title":"New inner product quasilinear spaces on interval numbers","author":"Bozkurt","year":"2016","journal-title":"Journal of Function Spaces"},{"issue":"2","key":"10.3233\/JIFS-230035_ref5","first-page":"506","article-title":"Soft quasilinear spaces and soft normed quasilinear spaces,yaman University Journal of Science}","volume":"10","author":"Bozkurt","year":"2020","journal-title":"Ad\u0131yaman University Journal of Science"},{"issue":"2","key":"10.3233\/JIFS-230035_ref6","first-page":"82","article-title":"Soft quasilinear operator","volume":"10","author":"Bozkurt","year":"2022","journal-title":"Mathematical Sciences And Applications e-Notes"},{"issue":"1","key":"10.3233\/JIFS-230035_ref7","doi-asserted-by":"crossref","first-page":"143","DOI":"10.15330\/cmp.10.1.143-164","article-title":"Translation, modulation and dilation systems set-valued signal processing","volume":"10","author":"Levent","year":"2018","journal-title":"Carpathian Mathematical Publications"},{"issue":"4","key":"10.3233\/JIFS-230035_ref8","doi-asserted-by":"publisher","first-page":"125","DOI":"10.32513\/asetmj\/1932200818","article-title":"Inner-product quasilinear spaces with applications in signal processing","volume":"14","author":"Levent","year":"2021","journal-title":"Advanced Studies: Euro-Tbilisi Mathematical Journal"},{"key":"10.3233\/JIFS-230035_ref9","doi-asserted-by":"crossref","first-page":"1635","DOI":"10.1007\/s41478-022-00422-0","article-title":"Analysis of signals with inexact data by using interval valued functions","volume":"30","author":"Levent","year":"2022","journal-title":"The Journal of Analysis"},{"issue":"2","key":"10.3233\/JIFS-230035_ref10","doi-asserted-by":"crossref","first-page":"19","DOI":"10.20852\/ntmsci.2018.266","article-title":"Hahn- Banach extension theorem for interval-valued functions and existence of quasilinear functionals","volume":"6","author":"Levent","year":"2018","journal-title":"New Trends in Mathematical Sciences"},{"key":"10.3233\/JIFS-230035_ref11","unstructured":"G\u00f6nci M.S. and Bozkurt H. , Soft Inner Product Quasilinear Spaces, Turkic Word Mathematical Society Journal of Applied and engineering Mathematics, V.N., (2022), pp. (Accepted)."},{"issue":"24","key":"10.3233\/JIFS-230035_ref12","doi-asserted-by":"crossref","first-page":"1149","DOI":"10.12988\/imf.2014.4470","article-title":"A new view on soft normed spaces","volume":"9","author":"Yazar","year":"2014","journal-title":"International Mathematical Forum"},{"issue":"1","key":"10.3233\/JIFS-230035_ref13","first-page":"159","article-title":"Results on Hilbert spaces","volume":"9","author":"Yazar","year":"2019","journal-title":"TWMS J App Eng Math"},{"key":"10.3233\/JIFS-230035_ref14","doi-asserted-by":"crossref","first-page":"555","DOI":"10.1016\/S0898-1221(03)00016-6","article-title":"Soft set theory","volume":"45","author":"Maji","year":"2003","journal-title":"Comput Math Appl"},{"key":"10.3233\/JIFS-230035_ref15","first-page":"23","article-title":"Quasilinear operators and their application in the theory of multivalued mappings","volume":"2","author":"Aseev","year":"1986","journal-title":"Proceedings of the Steklov Institute of Mathematics"},{"key":"10.3233\/JIFS-230035_ref16","doi-asserted-by":"crossref","first-page":"816","DOI":"10.22436\/jnsa.008.05.32","article-title":"Normed proper quasilinear spaces","volume":"8","author":"\u00c7akan","year":"2015","journal-title":"Journal of Nonlinear Sciences and Applications"},{"key":"10.3233\/JIFS-230035_ref17","unstructured":"\u00c7akan S. , Some New Results Related to Theory of Normed Quasilinear Spaces, Ph.D. Thesis, \u0130n\u00f6n\u00fc \u00dcniversity, Malatya, 2016."},{"key":"10.3233\/JIFS-230035_ref18","first-page":"707","article-title":"On soft metric spaces","volume":"21","author":"Das","year":"2013","journal-title":"J Fuzzy Math"},{"issue":"2","key":"10.3233\/JIFS-230035_ref19","first-page":"551","article-title":"Soft real sets, soft real numbers and their properties","volume":"6","author":"Das","year":"2012","journal-title":"J Fuzzy Math, Inform"},{"issue":"1","key":"10.3233\/JIFS-230035_ref20","first-page":"77","article-title":"Soft metric","volume":"6","author":"Das","year":"2013","journal-title":"Annals of Fuzzy Math and Inform"},{"issue":"1","key":"10.3233\/JIFS-230035_ref21","first-page":"91","article-title":"On soft linear spaces and soft normed linear spaces","volume":"9","author":"Das","year":"2015","journal-title":"Annals of Fuzzy Math and Inform"},{"issue":"2","key":"10.3233\/JIFS-230035_ref22","first-page":"295","article-title":"Soft linear operators in soft normed linear spaces","volume":"6","author":"Das","year":"2013","journal-title":"Ann Fuzzy Math Inform"},{"issue":"1","key":"10.3233\/JIFS-230035_ref23","first-page":"151","article-title":"On soft inner product spaces","volume":"6","author":"Das","year":"2013","journal-title":"Annals of Fuzzy Math and Inform"},{"key":"10.3233\/JIFS-230035_ref24","doi-asserted-by":"crossref","unstructured":"Al-Shami T.M. , Soft somewhat open sets: Soft separation axioms and medical application to nutrition, Computational and Applied Mathematics 41(216) (2022). https:\/\/doi.org\/10.1007\/s40314-022-01919-x","DOI":"10.1007\/s40314-022-01919-x"},{"issue":"1","key":"10.3233\/JIFS-230035_ref25","doi-asserted-by":"crossref","first-page":"815","DOI":"10.3934\/math.2023040","article-title":"Compactness and connectedness via the class of soft somewhat open sets","volume":"8","author":"Al-Shami","year":"2023","journal-title":"AIMS Mathematics"},{"issue":"23","key":"10.3233\/JIFS-230035_ref26","doi-asserted-by":"crossref","first-page":"4488","DOI":"10.3390\/math10234488","article-title":"Two new families of supra-Soft topological spaces defined by separation axioms","volume":"10","author":"Al-Shami","year":"2022","journal-title":"Mathematics"},{"issue":"8","key":"10.3233\/JIFS-230035_ref27","doi-asserted-by":"crossref","first-page":"15107","DOI":"10.3934\/math.2022828","article-title":"Soft separation axioms via soft topological operators","volume":"7","author":"Al-Shami","year":"2022","journal-title":"AIMS Mathematics"},{"issue":"4","key":"10.3233\/JIFS-230035_ref28","doi-asserted-by":"crossref","first-page":"840","DOI":"10.3390\/math11040840","article-title":"A novel framework for generalizations of soft open sets and its applications via soft topologies","volume":"11","author":"Al-Shami","year":"2023","journal-title":"Mathematics"},{"key":"10.3233\/JIFS-230035_ref29","doi-asserted-by":"crossref","first-page":"10","DOI":"10.1155\/2012\/951374","article-title":"Topological quasilinear spaces","volume":"2012","author":"Y\u0131lmaz","year":"2012","journal-title":"Abstract and Applied Analysis"},{"issue":"2","key":"10.3233\/JIFS-230035_ref30","doi-asserted-by":"crossref","first-page":"237","DOI":"10.37193\/CMI.2016.02.15","article-title":"On orthonormal sets in inner product quasilinear spaces","volume":"25","author":"Y\u0131lmaz","year":"2016","journal-title":"Creat Math and Inform"},{"key":"10.3233\/JIFS-230035_ref31","doi-asserted-by":"crossref","unstructured":"Y\u0131lmaz Y. , Bozkurt H. , Levent H. and \u00c7etinkaya \u00dc. , Inner product fuzzy quasilinear spaces and some fuzzy sequence spaces,15. Article ID 817., Journal of Mathematics 2022 (2466) https:\/\/doi.org\/10.1155\/2022\/246681","DOI":"10.1155\/2022\/2466817"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"link":[{"URL":"https:\/\/content.iospress.com\/download?id=10.3233\/JIFS-230035","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,1,29]],"date-time":"2026-01-29T08:56:36Z","timestamp":1769676996000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/full\/10.3233\/JIFS-230035"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,8,24]]},"references-count":31,"journal-issue":{"issue":"3"},"URL":"https:\/\/doi.org\/10.3233\/jifs-230035","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,8,24]]}}}