ASPG Menu
search

American Scientific Publishing Group

verified Journal

International Journal of Neutrosophic Science

ISSN
Online: 2690-6805 Print: 2692-6148
Frequency

Continuous publication

Publication Model

Open access journal. All articles are freely available online with no APC.

International Journal of Neutrosophic Science
Full Length Article

Volume 14Issue 1PP: 9-23 • 2021

Quadripartitioned Neutrosophic Pythagorean Soft Set

R.Radha 1* ,
A. Stanis Arul Mary 1 ,
Florentin Smarandache 2
1Department of Mathematics,Nirmala College for Women, Coimbatore, India
2Departement of Mathematic and Sciences, University of New Mexico, Gallup, NM, USA
* Corresponding Author.
verified

Open Access & Copyright

© 2021 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

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

Choose your preferred format

format_quote
, R.Radha, Mary, A. Stanis Arul, Smarandache, Florentin. "Quadripartitioned Neutrosophic Pythagorean Soft Set." International Journal of Neutrosophic Science, vol. Volume 14, no. Issue 1, 2021, pp. 9-23. DOI: https://doi.org/10.54216/IJNS.140101
, R., Mary, A., Smarandache, F. (2021). Quadripartitioned Neutrosophic Pythagorean Soft Set. International Journal of Neutrosophic Science, Volume 14(Issue 1), 9-23. DOI: https://doi.org/10.54216/IJNS.140101
, R.Radha, Mary, A. Stanis Arul, Smarandache, Florentin. "Quadripartitioned Neutrosophic Pythagorean Soft Set." International Journal of Neutrosophic Science Volume 14, no. Issue 1 (2021): 9-23. DOI: https://doi.org/10.54216/IJNS.140101
, R., Mary, A., Smarandache, F. (2021) 'Quadripartitioned Neutrosophic Pythagorean Soft Set', International Journal of Neutrosophic Science, Volume 14(Issue 1), pp. 9-23. DOI: https://doi.org/10.54216/IJNS.140101
R, Mary A, Smarandache F. Quadripartitioned Neutrosophic Pythagorean Soft Set. International Journal of Neutrosophic Science. 2021;Volume 14(Issue 1):9-23. DOI: https://doi.org/10.54216/IJNS.140101
R. , A. Mary, F. Smarandache, "Quadripartitioned Neutrosophic Pythagorean Soft Set," International Journal of Neutrosophic Science, vol. Volume 14, no. Issue 1, pp. 9-23, 2021. DOI: https://doi.org/10.54216/IJNS.140101
policy

Publisher's Note

The statements, opinions, and data presented in this article are solely those of the author(s) and do not necessarily represent those of ASPG, the journal, or its editors. ASPG and the editors disclaim responsibility for any harm arising from the use of any ideas, methods, instructions, or products described in this article, to the fullest extent permitted by applicable law.

Digital Archive Ready