Volume 19 • Issue 1 • PP: 242-249 • 2022
Neutrosophic Borda method
View PDF 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
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
Choose your preferred format