Soft \(n\)-Normed Linear Spaces: Generalizations and Extensions from Soft Normed Spaces
DOI:
https://doi.org/10.26713/cma.v15i1.2427Keywords:
Soft sets, Soft linear spaces, Soft NDLS, Soft \(n\)-NDLSAbstract
This article presents the notion of soft 2-normed linear space (NDLS) and extends it to soft \(n\)-NDLS, providing a versatile framework beyond traditional soft NDLS and \(n\)-normed spaces (NDS). Established results in soft NDLS are adapted to soft \(n\)-NDLS, bolstered by practical examples.
Downloads
References
T. Bera and N. K. Mahapatra, Neutrosophic soft normed linear spaces, Neutrosophic Sets and Systems 23 (2018), 52 – 71, URL: https://digitalrepository.unm.edu/cgi/viewcontent.cgi?article=1332&context=nss_journal.
T. Bera and N. K. Mahapatra, On neutrosophic soft linear spaces, Fuzzy Information and Engineering 9(3) (2017), 299 – 324, DOI: 10.1016/j.fiae.2017.09.004.
S. Das and S. K. Samanta, On soft complex sets and soft complex numbers, The Journal of Fuzzy Mathematics 21(1) (2013), 195 – 216.
S. Das and S. K. Samanta, On soft inner product spaces, Annals of Fuzzy Mathematics and Informatics 6(1) (2013), 151 – 170, URL: http://www.afmi.or.kr/papers/2013/Vol-06_No-01/AFMI-6-1(1--226)/AFMI-6-1(151--170)-H-120914-1R1.pdf.
S. Das and S. K. Samanta, Soft linear operators in soft normed linear spaces, Annals of Fuzzy Mathematics and Informatics 6(2) (2013), 295 – 314, URL: http://www.afmi.or.kr/papers/2013/Vol-06_No-02/AFMI-6-2(227--453)/AFMI-6-2(295--314)-H-121204R1.pdf.
S. Das, P. Majumdar and S. K. Samanta, On soft linear spaces and soft normed linear spaces, arXiv preprint arXiv:1308.1016, (2013), DOI: 10.48550/arXiv.1308.1016.
S. Gähler, Lineare 2-normierte Räume, Mathematische Nachrichten 28(1-2) (1964), 1 – 43, DOI: 10.1002/mana.19640280102.
H. Gunawan and M. Mashadi, On n-normed spaces, International Journal of Mathematics and Mathematical Sciences 27 (2001), 965397, 9 pages, DOI: 10.1155/S0161171201010675.
Y. B. Jun, Soft BCK/BCI-algebras, Computers & Mathematics with Applications 56(5) (2008), 1408 – 1413, DOI: 10.1016/j.camwa.2008.02.035.
D. Molodtsov, Soft set theory – First results, Computers & Mathematics with Applications 37(4-5) (1999), 19 – 31, DOI: 10.1016/S0898-1221(99)00056-5.
A. L. Narayanan and S. Vijayabalaji, Fuzzy n-normed linear space, International Journal of Mathematics and Mathematical Sciences 2005 (2005), 640286, 15 pages, DOI: 10.1155/IJMMS.2005.3963.
N. Thillaigovindan, S. Vijayabalaji and S. A. Shanthi, Fuzzy n-Normed Linear Spaces, Lambert Academic Publishing, Germany, 196 pages (2010).
S. Vijayabalaji, Cubic n-Normed Linear Spaces, 1st edition, Lambert Academic Publishing, Germany, 76 pages (2017).
M. I. Yazar, T. Bilgin, S. Bayramov and C. Gunduz (Aras), A new view on soft normed spaces, International Mathematical Forum 9(24) (2014), 1149 – 1159, DOI: 10.12988/imf.2014.4470.
Downloads
Published
How to Cite
Issue
Section
License
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.