Volume 12
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2020 |
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Full Length Article
True-False Set is a particular case of the Refined Neutrosophic Set
Florentin Smarandache
1
,
Said Broumi
2
1
Dept. Math and Sciences, University of New Mexico, Gallup, NM 87301, USA - (smarand@unm.edu)
2
Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Casablanca, Morocco - (broumisaid78@gmail.com)
Doi:
https://doi.org/10.54216/IJNS.0120102
Received: Octobre 30, 2020 Accepted: Novembre 05, 2020
Abstract
Borzooei, Mohseni Takallo, and Jun recently proposed a new type of set, called True-False Set [1], and they claimed it is a generalization of Neutrosophic Set [2]. We prove that this assertion is untrue. Actually it’s the opposite, the True-False Set is a particular case of the Refined Neutrosophic Set..
Keywords :
Refined Neutrosophic Set, True-False Set, Neutrosophic Set, Indeterminacy.
References
[1] R. A Borzooei, M. Mohseni Taakallo, Y. B. Yun: True-False Sets, 2020 8th Iranian Joint Congress on Fuzzy and Intelligent Systems (FIS), September 204, 2020, Mashad, Iran, 5 pages.
[2] F. Smarandache: Neutrosophy. Neutrosophic Probability, Set, and Logic. Rehoboth: American Research Press, 1998; http://fs.unm.edu/eBook-Neutrosophics6.pdf
[3] F. Smarandache, Neutrosophic Overset, Neutrosophic Underset, and Neutrosophic Offset. Similarly for Neutrosophic Over-/Under-/Off- Logic, Probability, and Statistics, 168 p., Pons Editions, Bruxelles, Belgique, 2016; https://arxiv.org/ftp/arxiv/papers/1607/1607.00234.pdf,https://hal.archives-ouvertes.fr/hal-01340830
[4] F. Smarandache: n-Valued Refined Neutrosophic Logic and Its Applications to Physics. Progress in Physics, 143-146, Vol. 4, 2013; arXiv:1407.1041 [cs.AI] 2013; http://fs.unm.edu/RefinedNeutrosophicSet.pdf
Cite This Article As :
Smarandache, Florentin.
,
Broumi, Said.
True-False Set is a particular case of the Refined Neutrosophic Set.
International Journal of Neutrosophic Science,
vol. , no. ,
2020,
pp. 9-12.
DOI: https://doi.org/10.54216/IJNS.0120102
Smarandache, F.
Broumi, S.
(2020).
True-False Set is a particular case of the Refined Neutrosophic Set.
International Journal of Neutrosophic Science,
(),
9-12.
DOI: https://doi.org/10.54216/IJNS.0120102
Smarandache, Florentin.
Broumi, Said.
True-False Set is a particular case of the Refined Neutrosophic Set.
International Journal of Neutrosophic Science
, no. (2020):
9-12.
DOI: https://doi.org/10.54216/IJNS.0120102
Smarandache, F.
,
Broumi, S.
(2020)
.
True-False Set is a particular case of the Refined Neutrosophic Set.
International Journal of Neutrosophic Science
,
()
,
9-12
.
DOI: https://doi.org/10.54216/IJNS.0120102
Smarandache F.
,
Broumi S.
[2020].
True-False Set is a particular case of the Refined Neutrosophic Set.
International Journal of Neutrosophic Science.
():
9-12.
DOI: https://doi.org/10.54216/IJNS.0120102
Smarandache, F.
Broumi, S.
"True-False Set is a particular case of the Refined Neutrosophic Set,"
International Journal of Neutrosophic Science,
vol. , no. , pp. 9-12,
2020.
DOI: https://doi.org/10.54216/IJNS.0120102
