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International Journal of Neutrosophic Science
Volume 12 , Issue 1, PP: 9-12 , 2020 | Cite this article as | XML | Html |PDF

Title

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 :
Style #
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)