True-False Set is a particular case of  the Refined Neutrosophic Set

Florentin; Said

doi:https://doi.org/10.54216/IJNS.0120102

Full Length Article

Volume 12 • Issue 1 • PP: 9-12 • 2020

True-False Set is a particular case of the Refined Neutrosophic Set

Florentin Smarandache ^1*

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,

Said Broumi ²

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¹Dept. Math and Sciences, University of New Mexico, Gallup, NM 87301, USA

²Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Casablanca, Morocco

* Corresponding Author.

DOI https://doi.org/10.54216/IJNS.0120102

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Received: Octobre 30, 2020 Accepted: Novembre 05, 2020

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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

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Smarandache, Florentin, Broumi, Said. "True-False Set is a particular case of the Refined Neutrosophic Set." International Journal of Neutrosophic Science, vol. Volume 12, no. Issue 1, 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, Volume 12(Issue 1), 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 Volume 12, no. Issue 1 (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, Volume 12(Issue 1), pp. 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. 2020;Volume 12(Issue 1):9-12. DOI: https://doi.org/10.54216/IJNS.0120102

F. Smarandache, S. Broumi, "True-False Set is a particular case of the Refined Neutrosophic Set," International Journal of Neutrosophic Science, vol. Volume 12, no. Issue 1, pp. 9-12, 2020. DOI: https://doi.org/10.54216/IJNS.0120102

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