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International Journal of Neutrosophic Science
Volume 19 , Issue 1, PP: 242-249 , 2022 | Cite this article as | XML | Html |PDF

Title

Neutrosophic Borda method

  T. Witczak 1 *

1  Institute of Mathematics, Faculty of Science and Technology, University of Silesia, Bankowa 14, 40-007 Katowice, Poland Email: tm.witczak@gmail.
    (tm.witczak@gmail.com)


Doi   :   https://doi.org/10.54216/IJNS.190119

Received: March 18, 2022 Accepted: September 26, 2022

Abstract :

In this paper we introduce and then study the general concept of neutrosophic Borda method. The idea is to

combine Borda count (in one of its most typical versions) with neutrosophic sets (which allow us to deal with

uncertainty in a very broad sense). We show the whole algorithm which is then illustrated with some numerical

examples. Finally, we discuss several possible extensions of the proposed method. For example, we present

neutrosophic approach to the problem of weights.

Keywords :

Neutrosophic Borda; Neutrosophic Set; Uncertainty

References :

[1] Atanassov K., Intuitionistic fuzzy sets, VII ITKR’s Session, Sofia 1983.

[2] Broumi S., Witczak T., Heptapartitioned neutrosophic soft set, (to appear).

[3] Chatterjee R.; Majumdar P., Samanta S.K., On some similarity measures and entropy on quadripartithioned

single valued neutrosophic sets, J. Int. Fuzzy Syst. 2016, 30, 2475–2485.

[4] Imamura T., Note on the Definition of Neutrosophic Logic, https://arxiv.org/pdf/1811.

02961.pdf.

[5] Maji P. K., Neutrosophic soft set, Annals of Fuzzy Mathematics and Informatics, Volume 5, No.1,

(2013).,157-168.

[6] Malik R., Pramanik S., Pentapartitioned neutrosophic set and its properties, Neutrosophic Sets and Systems,

Vol 36, 2020.

[7] Molodtsov D., Soft set Theory - First Results, Computers and Mathematics with Applications, 37 (1999)

19-31.

[8] Radha R., Stanis A. M., Heptapartitioned neutrosophic sets, IRJCT, volume 2, 222-230.

[9] Radha R., Stanis A. M., Quadripartitioned neutrosophic pythagorean sets, International Journal of Research

Publication and Reviews Vol. (2), Issue (4) (2020), 276-281.

[10] Smarandache F., Neutrosophic set, a generalization of the intuitionistic fuzzy sets, Inter. J. Pure Appl.

Math., 24 (2005), 287 - 297.

[11] Smarandache F., About non-standard neutrosophic logic (answers to Imamura’s ”Note on the

definition of neutrosophic logic”), https://arxiv.org/ftp/arxiv/papers/1812/1812.

02534.pdf.

[12] Smarandache F., n-Valued Refined Neutrosophic Logic and its Application in

Physics, Progress in Physics, Vol. 4, 2013, pp. 143-146, http://fs.unm.edu/

n-ValuedNeutrosophicLogic-PiP.pdf.

[13] Wang H., F. Smarandache, Y. Zhang, R. Sunderraman, Single valued neutrosophic sets, Multi-space and

Multi-structure, 4 (2010), 410-413.

[14] Zadeh L.A., Fuzzy Sets, Information and Control, vol. 8(1965) 338 – 353.


Cite this Article as :
Style #
MLA T. Witczak. "Neutrosophic Borda method." International Journal of Neutrosophic Science, Vol. 19, No. 1, 2022 ,PP. 242-249 (Doi   :  https://doi.org/10.54216/IJNS.190119)
APA T. Witczak. (2022). Neutrosophic Borda method. Journal of International Journal of Neutrosophic Science, 19 ( 1 ), 242-249 (Doi   :  https://doi.org/10.54216/IJNS.190119)
Chicago T. Witczak. "Neutrosophic Borda method." Journal of International Journal of Neutrosophic Science, 19 no. 1 (2022): 242-249 (Doi   :  https://doi.org/10.54216/IJNS.190119)
Harvard T. Witczak. (2022). Neutrosophic Borda method. Journal of International Journal of Neutrosophic Science, 19 ( 1 ), 242-249 (Doi   :  https://doi.org/10.54216/IJNS.190119)
Vancouver T. Witczak. Neutrosophic Borda method. Journal of International Journal of Neutrosophic Science, (2022); 19 ( 1 ): 242-249 (Doi   :  https://doi.org/10.54216/IJNS.190119)
IEEE T. Witczak, Neutrosophic Borda method, Journal of International Journal of Neutrosophic Science, Vol. 19 , No. 1 , (2022) : 242-249 (Doi   :  https://doi.org/10.54216/IJNS.190119)