International Journal of Neutrosophic Science

Journal DOI

https://doi.org/10.54216/IJNS

Submit Your Paper

2690-6805ISSN (Online) 2692-6148ISSN (Print)

Volume 14 , Issue 1 , PP: 9-23, 2021 | Cite this article as | XML | PDF | Full Length Article

Quadripartitioned Neutrosophic Pythagorean Soft Set

R.Radha 1 * , A. Stanis Arul Mary 2 , Florentin Smarandache 3

  • 1 Department of Mathematics,Nirmala College for Women, Coimbatore, India - (radharmat2020@gmail.com)
  • 2 Department of Mathematics,Nirmala College for Women, Coimbatore, India - (stanisarulmary@gmail.com)
  • 3 Departement of Mathematic and Sciences, University of New Mexico, Gallup, NM, USA - (smarand@unm.edu)
  • Doi: https://doi.org/10.54216/IJNS.140101

    Received: November 15, 2020 Accepted: March 02 2021
    Abstract

    The aim of this paper is to introduce the new concept of Quadripartitioned Neutrosophic Pythagorean soft set with T, C, U, F as dependent neutrosophic components and have also discussed some of its properties

    Keywords :

    Neutrosophic pythagorean soft set, Quadripartioned Neutrosophic Pythagorean set and Quadripartioned Neutrosophic Pythagorean soft set .

    References

     

    [1]   I. Arockiarani, R. Dhavaseelan, S.Jafari,M.Parimala,On some notations and functions in neutrosophic topological spaces, Neutrosophic sets and systems,vol 16, pp. 16-19, 2017.

    [2]  I. Arockiarani, I.R. Sumathi and J, Martina Jency, Fuzzy neutrosophic soft topological spaces, IJMA-4[10], oct-2013.

    [3]  K. Atanassov, Intuitionistic fuzzy sets, in V. Sgurev, ed., vii ITKRS Session, Sofia (June 1983 central Sci. and Techn. Library, Bulg. Academy of Sciences, 1983.

    [4]  Chahhtterjee, R.; Majumdar, P.; Samanta, S.K. On some similarity measures and entropy on quadripartithioned single valued neutrosophic sets. J. Int. Fuzzy Syst, 30, 2475–2485, 2016.

    [5]  M. Irfan Ali, F. Feng, X. Liu, W. K. Min and M. Shabir, “On some new operations in soft set theory”, Comput. Math Appl, 57, pp.1547-1553, 2009.  

    [6]  D. Molodtsov, Soft set Theory - First Results, 37,pp.19-31,1999.

    [7]  P.K.Maji , R. Biswas ans A. R. Roy, Fuzzy soft sets, Journal of Fuzzy Mathematics, Vol. 9, no.3, pp – 589-602, 2001

    [8]  P. K. Maji, R. Biswas ans A. R. Roy, Intuitionistic Fuzzy soft sets, The journal of fuzzy Mathematics, Vol. 9, (3), pp.677 – 692, 2001.

    [9]  Pabitra Kumar Maji, Neutrosophic soft set, Annals of Fuzzy Mathematics and Informatics, Volume 5, No.1, ,pp.157-168, 2013.

    [10] R. Radha ,A. Stanis Arul Mary,Quadripartitioned neutrosophic pythagorean sets(Communicated)

    [11]R. Radha, A. Stanis Arul Mary, F. Smarandache, Neutrosophic pythagorean soft set with T and F as dependent components, Neutrosophic Sets and Systems, (submitted)

    [12]A.A. Salama and S.A. Al – Blowi, Neutrosophic Set and Neutrosophic topological spaces, IOSR Journal of Math., Vol. (3) ISSUE4 ,pp. 31 – 35, 2012.

    [13]M. Shabir and M. Naz, On soft topological spaces, Comput.Math.Appl. 61,pp.1786 – 1799, 2011.

    [14]F. Smarandache, Degree of Dependence and independence of the sub components of fuzzy set and neutrosophic set, Neutrosophic sets and systems, vol 11,pp. 95-97, 2016.

    [15] F. Smarandache, Neutrosophy and Neutrosophic Logic, First International Conference on Neutrosophy, Neutrosophic Logic, Set, Probability and Statistics University of New Mexico, Gallup, NM 87301, USA 2002.

    [16] F. Smarandache, Neutrosophic set, A generialization of the intuituionistics fuzzy sets, Inter. J. Pure Appl. Math., 24, pp.287 – 297, 2005.

    [17] F. Smarandache: Extension of Soft Set to Hypersoft Set and then to Plithogenic Hypersoft Set, Neutrosophic Sets and Systems, vol. 22, pp. 168-170, 2018. 

    [18] B. Tanay and M.B. Kandemir, Topological structure of fuzzy soft sets, Comput.Math.Appl, 61, pp.2952 – 2957, 2001.

    [19] Xindong Peng, Yong Yang, Some results for pythagorean fuzzy sets, International Journal of Intelligent systems,30,pp.1133-1160, 2015.

    [20] L. A. Zadeh, Fuzzy Sets, Inform and Control , vol8, pp.338 – 353, 1965.

    [21] Zhaowen Li, Rongchen cui, On the topological structure of intuitionistic fuzzy soft sets, Annals of Fuzzy Mathematics and Informatics, Volume 5, No.1, pp. 229-239, 2013.

    [22] Zorlutuna, M. Akdag, W. K. Min, S. Atmaca, “Remarks on soft topological spaces”, Annals of Fuzzy Mathematics and Informatics, Volume3, No.2, pp.171-185, 2012.

     

    Cite This Article As :
    , R.Radha. , Stanis, A.. , Smarandache, Florentin. Quadripartitioned Neutrosophic Pythagorean Soft Set. International Journal of Neutrosophic Science, vol. , no. , 2021, pp. 9-23. DOI: https://doi.org/10.54216/IJNS.140101
    , R. Stanis, A. Smarandache, F. (2021). Quadripartitioned Neutrosophic Pythagorean Soft Set. International Journal of Neutrosophic Science, (), 9-23. DOI: https://doi.org/10.54216/IJNS.140101
    , R.Radha. Stanis, A.. Smarandache, Florentin. Quadripartitioned Neutrosophic Pythagorean Soft Set. International Journal of Neutrosophic Science , no. (2021): 9-23. DOI: https://doi.org/10.54216/IJNS.140101
    , R. , Stanis, A. , Smarandache, F. (2021) . Quadripartitioned Neutrosophic Pythagorean Soft Set. International Journal of Neutrosophic Science , () , 9-23 . DOI: https://doi.org/10.54216/IJNS.140101
    R. , Stanis A. , Smarandache F. [2021]. Quadripartitioned Neutrosophic Pythagorean Soft Set. International Journal of Neutrosophic Science. (): 9-23. DOI: https://doi.org/10.54216/IJNS.140101
    , R. Stanis, A. Smarandache, F. "Quadripartitioned Neutrosophic Pythagorean Soft Set," International Journal of Neutrosophic Science, vol. , no. , pp. 9-23, 2021. DOI: https://doi.org/10.54216/IJNS.140101