1 Affiliation : Dept. Math and Sciences, University of New Mexico, Gallup, NM 87301, USA
Email : smarand@unm.edu
2 Affiliation : Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Casablanca, Morocco
Email : 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