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Title

New Notion for Neutrosophic Soft Normed Linear Spaces

  Jeyaraman M. 1 * ,   Muthuraj R. 2 ,   Nachammal K. 3 ,   Iswariya S. 4

1  PG and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamilnadu, India
    (jeya.math@gmail.com)

2  Assistant Professor, PG & Research Department of Mathematics, H.H. The Rajah’s College, Pudukkottai – 622 001, Tamilnadu, India
    (Orchid: 0000-0002-0364-1845)

3  PG and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai. Affiliated to Alagappa University, Karaikudi, Tamilnadu, India.
    (nachammal1976@gmail.com)

4  Research Scholar, P.G. and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamilnadu, India
    (Orchid: 0009-0007-5264-3824)


Doi   :   https://doi.org/10.54216/JNFS.070105

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

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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[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. 

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[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 as :
Style #
MLA Jeyaraman M., Muthuraj R., Nachammal K., Iswariya S.. "New Notion for Neutrosophic Soft Normed Linear Spaces." Full Length Article, Vol. 7, No. 1, 2023 ,PP. 37-50 (Doi   :  https://doi.org/10.54216/JNFS.070105)
APA Jeyaraman M., Muthuraj R., Nachammal K., Iswariya S.. (2023). New Notion for Neutrosophic Soft Normed Linear Spaces. Journal of Full Length Article, 7 ( 1 ), 37-50 (Doi   :  https://doi.org/10.54216/JNFS.070105)
Chicago Jeyaraman M., Muthuraj R., Nachammal K., Iswariya S.. "New Notion for Neutrosophic Soft Normed Linear Spaces." Journal of Full Length Article, 7 no. 1 (2023): 37-50 (Doi   :  https://doi.org/10.54216/JNFS.070105)
Harvard Jeyaraman M., Muthuraj R., Nachammal K., Iswariya S.. (2023). New Notion for Neutrosophic Soft Normed Linear Spaces. Journal of Full Length Article, 7 ( 1 ), 37-50 (Doi   :  https://doi.org/10.54216/JNFS.070105)
Vancouver Jeyaraman M., Muthuraj R., Nachammal K., Iswariya S.. New Notion for Neutrosophic Soft Normed Linear Spaces. Journal of Full Length Article, (2023); 7 ( 1 ): 37-50 (Doi   :  https://doi.org/10.54216/JNFS.070105)
IEEE Jeyaraman M., Muthuraj R., Nachammal K., Iswariya S., New Notion for Neutrosophic Soft Normed Linear Spaces, Journal of Full Length Article, Vol. 7 , No. 1 , (2023) : 37-50 (Doi   :  https://doi.org/10.54216/JNFS.070105)