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Journal of Neutrosophic and Fuzzy Systems

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Journal of Neutrosophic and Fuzzy Systems
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Volume 7 • Issue 1 • PP: 37-50 • 2023

New Notion for Neutrosophic Soft Normed Linear Spaces

Jeyaraman M. 1*
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,
Muthuraj R. 2
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,
Nachammal K. 3
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,
Iswariya S. 4
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1PG and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamilnadu, India
2Assistant Professor, PG & Research Department of Mathematics, H.H. The Rajah’s College, Pudukkottai – 622 001, Tamilnadu, India
3PG and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai. Affiliated to Alagappa University, Karaikudi, Tamilnadu, India.
4Research Scholar, P.G. and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamilnadu, India
* Corresponding Author.
DOI https://doi.org/10.54216/JNFS.070105
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© 2023 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: January 26, 2023 Revised: May 21, 2023 Accepted: June 26, 2023
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Abstract

An idea about neutrosophic soft normed space with linear tends to every soft points set throughout the field with scalar  that can be examined using a different approach in this study. Additionally, the terms Cauchy and Convergence are defined. A few theorems are proved that is related to these ideas.

Keywords

Neutrosophic set Neutrosophic soft normed spaces Soft set Soft normed spaces.

References

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[2]    T. Beaula and M. Merlin priyanga, A New Notion For Fuzzy Soft Normed Linear Space, International Journal of Fuzzy Mathematical Archive, Vol. 9, N. 1, 81-90, 2015.

[3]    S. Das, P. Majumdar and S. K. Samanta, On soft linear spaces and soft normed linear spaces [Math.GM.], 2011.

[4]    Jeyaraman M., “Generalized Hyers-Ulam-Rassias Stability in Neutrosophic Normed Spaces,” Octogon Mathematical Magazine, vol. (30), (2), (2022), 773 – 792.

[5]    Jeyaraman M., Jenifer P., Statistical  m-Convergence in Neutrosophic Normed Spac Journal of Computational Mathematica, vol. (7), (1), (2023), 46-60.

[6]    Jeyaraman M., Ramachandran A., Shakila VB., Approximate fixed point theorems for weak     contractions on neutrosophic normed spaces, Journal of Computational Mathematica, vol. (6), (1), (2022), 134-158. 

[7]    A. K. Katsaras, “Fuzzy topological vector spaces II,” Fuzzy Sets and Systems, vol. 12, no. 2,pp. 143–154, 1984.   

[8]    A. Z. Khameneh, A. Kilieman and A. RazakSallah, Parameterized norm and parameterized fixed point theorem by using fuzzy soft set theory, arXiv preprint arXiv: 1309-4921, 2013.

[9]    P. K. Maji, R. Biswas and A. R. Roy, soft sets theory, Comput, Math. Appl., 3(45), 555-562, 2003.

[10] D. Molodtsov, soft set theory first results, Comput. Math. Appl., 3(37), 19-31, 1999.

[11] R. Saadati, J. H. Park, On the intuitionistic fuzzy topological spaces, Chaos, Solitons and Fractals, 27, 331–344, 2006.

[12] R. Saadati and M. Vaezapour, Some Results On Fuzzy Banach Spaces, J. Appl. Math. & computing, Vol. 17, N.1-2, 2005.

[13] Smarandache F., Neutrosophy. Neutrosophic Probability, Set, and Logic, Pro Quest Information & Learning, Ann Arbor, Michigan, USA, (1998).

[14] Smarandache F., Neutrosophic set a generalization of the intuitionistic Fuzzy sets, Inter J Pure Appl Math, vol. (24), 287297.

[15] M. I. Yazar, T. Bilgin and Sadi, A New View On Soft Normed Spaces, Intr. Math. Forum, Vol. 9, No. 24, 1149-1159, 2014.

[16] Zadeh, L. A., Fuzzy sets, Inform Control, (8), 1965, 338-353.

[17] T Bera, NK Mahapatra, Neutrosophic Soft Linear Spaces, Fuzzy Information and Engineering, 2017; 9:299- 324.

[18] T Bera, NK Mahapatra, Neutrosophic Soft Normed Linear Spaces, neutrosohic Sets and Systems, 2018;23:52-71.

Cite This Article

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format_quote
M., Jeyaraman, R., Muthuraj, K., Nachammal, S., Iswariya. "New Notion for Neutrosophic Soft Normed Linear Spaces." Journal of Neutrosophic and Fuzzy Systems, vol. Volume 7, no. Issue 1, 2023, pp. 37-50. DOI: https://doi.org/10.54216/JNFS.070105
M., J., R., M., K., N., S., I. (2023). New Notion for Neutrosophic Soft Normed Linear Spaces. Journal of Neutrosophic and Fuzzy Systems, Volume 7(Issue 1), 37-50. DOI: https://doi.org/10.54216/JNFS.070105
M., Jeyaraman, R., Muthuraj, K., Nachammal, S., Iswariya. "New Notion for Neutrosophic Soft Normed Linear Spaces." Journal of Neutrosophic and Fuzzy Systems Volume 7, no. Issue 1 (2023): 37-50. DOI: https://doi.org/10.54216/JNFS.070105
M., J., R., M., K., N., S., I. (2023) 'New Notion for Neutrosophic Soft Normed Linear Spaces', Journal of Neutrosophic and Fuzzy Systems, Volume 7(Issue 1), pp. 37-50. DOI: https://doi.org/10.54216/JNFS.070105
M. J, R. M, K. N, S. I. New Notion for Neutrosophic Soft Normed Linear Spaces. Journal of Neutrosophic and Fuzzy Systems. 2023;Volume 7(Issue 1):37-50. DOI: https://doi.org/10.54216/JNFS.070105
J. M., M. R., N. K., I. S., "New Notion for Neutrosophic Soft Normed Linear Spaces," Journal of Neutrosophic and Fuzzy Systems, vol. Volume 7, no. Issue 1, pp. 37-50, 2023. DOI: https://doi.org/10.54216/JNFS.070105
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