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)
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
Style | # |
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MLA | Florentin Smarandache, Said Broumi. "True-False Set is a particular case of the Refined Neutrosophic Set." International Journal of Neutrosophic Science, Vol. 12, No. 1, 2020 ,PP. 9-12 (Doi : https://doi.org/10.54216/IJNS.0120102) |
APA | Florentin Smarandache, Said Broumi. (2020). True-False Set is a particular case of the Refined Neutrosophic Set. Journal of International Journal of Neutrosophic Science, 12 ( 1 ), 9-12 (Doi : https://doi.org/10.54216/IJNS.0120102) |
Chicago | Florentin Smarandache, Said Broumi. "True-False Set is a particular case of the Refined Neutrosophic Set." Journal of International Journal of Neutrosophic Science, 12 no. 1 (2020): 9-12 (Doi : https://doi.org/10.54216/IJNS.0120102) |
Harvard | Florentin Smarandache, Said Broumi. (2020). True-False Set is a particular case of the Refined Neutrosophic Set. Journal of International Journal of Neutrosophic Science, 12 ( 1 ), 9-12 (Doi : https://doi.org/10.54216/IJNS.0120102) |
Vancouver | Florentin Smarandache, Said Broumi. True-False Set is a particular case of the Refined Neutrosophic Set. Journal of International Journal of Neutrosophic Science, (2020); 12 ( 1 ): 9-12 (Doi : https://doi.org/10.54216/IJNS.0120102) |
IEEE | Florentin Smarandache, Said Broumi, True-False Set is a particular case of the Refined Neutrosophic Set, Journal of International Journal of Neutrosophic Science, Vol. 12 , No. 1 , (2020) : 9-12 (Doi : https://doi.org/10.54216/IJNS.0120102) |