Soft n-Normed Linear Spaces: Generalizations and Extensions from Soft Normed Spaces

Authors

  • Surender Reddy Bokka Osmania University
  • vijayabalaji S
  • Punniyamoorthy K
  • Raghavendra Rao A.V

Keywords:

soft sets, soft linear spaces, soft NDLS, soft n- NDLS

Abstract

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.

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References

Bera, T & Mahapatra, N. K, Neutrosophic Soft Normed Linear Spaces, Neutrosophic Sets and Systems 23 (2018), 52 – 71,

https://digitalrepository.unm.edu/nss_journal/vol23/iss1/6.

Bera. T and Mahapatra. N. K, On neutrosophic soft linear spaces, Fuzzy Information and Engineering 9 (2017), 299 – 324, https://doi.org/10.1016/j.fiae.2017.09.004.

Das. S and Samanta. S. K, On soft inner product spaces, Annals of Fuzzy Mathematics and Informatics 6(1) (2013), 151 – 170, http://www.afmi.or.kr.

Das, S., Majumdar, P., & Samanta, S. K, On soft linear spaces and soft normed linear spaces, arXiv preprint arXiv : 1308.1016 (2013), https://doi.org/10.48550/arXiv.1308.1016.

Das, S., & Samanta, S. K, Soft linear operators in soft normed linear spaces, Annals of Fuzzy Mathematics and Informatics 6(2) (2013), 295 – 314, http://www.afmi.or.kr.

Das, S., & Samanta, S. K, Soft real sets, soft real numbers and their properties, The Journal of fuzzy Mathematics 20(3) (2012), 551– 576, https://www.researchgate.net/publication/268995256.

Gähler, S, Lineare 2-normierte Räume. Mathematische Nachrichten 28(1-2) (1964), 1 – 43, DOI: 10.1002/mana.19640280102.

Gunawan, H., & Mashadi, M, On n-normed spaces, International Journal of Mathematics and Mathematical Sciences 27(10) (2001), 631– 639, DOI: 10.1155/S0161171201010675.

Jun. Y. B, Soft BCK/BCI – algebras, Computers & Mathematics with Applications 56 (2008), 1408 – 1413, https://doi.org/10.1016/j.camwa.2008.02.035.

Molodtsov D, Soft set theory—first results, Computers & Mathematics with Applications 37(4-5) (1999), 19 – 31, https://doi.org/10.1016/S0898-1221(99)00056-5.

Narayanan, A, & Vijayabalaji.S, Fuzzy n-normed linear space, International Journal of Mathematics and Mathematical Sciences 24 (2005), 3963 – 3977, DOI: 10.1155/IJMMS.2005.3963.

Thillaigovindan, N., Vijayabalaji S., and Anita Shanthi A, Fuzzy n- normed linear spaces, ( 2010 ), LAP Publishing, Germany.

Vijayabalaji S, Cubic n- normed linear spaces, ( 2017 ), LAP Publishing, Germany.

Yazar, M. I, Bilgin, T, Bayramov, S., & Gunduz, C, A new view on soft normed spaces, International Mathematical Forum 9( 24) (2014), 1149 – 1159, DOI: 10.12988/imf.2014.4470.

Published

24-04-2024

How to Cite

Bokka, S. R., S, vijayabalaji, K, P., & A.V, R. R. (2024). Soft n-Normed Linear Spaces: Generalizations and Extensions from Soft Normed Spaces . Communications in Mathematics and Applications, 15(1). Retrieved from http://www.rgnpublications.com/journals/index.php/cma/article/view/2427

Issue

Section

Research Article