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Journal of Neutrosophic and Fuzzy Systems

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https://doi.org/10.54216/JNFS

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Journal of Neutrosophic and Fuzzy Systems

Volume 7 , Issue 1 , PP: 37-50, 2023 | Cite this article as | XML | Html | PDF

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

    [1]    K. Atanassov, Intuitionistic fuzzy sets, Fuzzy sets and Systems 20, 87-96, 1986.

    [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 As :
    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)
    Jeyaraman M., Muthuraj R., Nachammal K., Iswariya S.. (2023). New Notion for Neutrosophic Soft Normed Linear Spaces. Journal of , 7 ( 1 ), 37-50 (Doi   :  https://doi.org/10.54216/JNFS.070105)
    Jeyaraman M., Muthuraj R., Nachammal K., Iswariya S.. "New Notion for Neutrosophic Soft Normed Linear Spaces." Journal of , 7 no. 1 (2023): 37-50 (Doi   :  https://doi.org/10.54216/JNFS.070105)
    Jeyaraman M., Muthuraj R., Nachammal K., Iswariya S.. (2023). New Notion for Neutrosophic Soft Normed Linear Spaces. Journal of , 7 ( 1 ), 37-50 (Doi   :  https://doi.org/10.54216/JNFS.070105)
    Jeyaraman M., Muthuraj R., Nachammal K., Iswariya S.. New Notion for Neutrosophic Soft Normed Linear Spaces. Journal of , (2023); 7 ( 1 ): 37-50 (Doi   :  https://doi.org/10.54216/JNFS.070105)
    Jeyaraman M., Muthuraj R., Nachammal K., Iswariya S., New Notion for Neutrosophic Soft Normed Linear Spaces, Journal of , Vol. 7 , No. 1 , (2023) : 37-50 (Doi   :  https://doi.org/10.54216/JNFS.070105)

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