Research Article
Year 2020,
Volume: 41 Issue: 3, 612 - 616, 30.09.2020
Abstract
References
- Smarandache, F., Neutrosophic set-A generalization of the intuituionistics fuzzy sets, Int. J. Pure Appl. Math. 2005, 3, 287–297.
- Smarandache, F., Neutrosophic Perspectives: Triplets, Duplets, Multisets, Hybrid Operators, Modal Logic, Hedge Algebras, and Applications, Pons Publishing House: Brussels, Belgium, 2017.
- Smarandache, F. and Ali, M., Neutrosophic triplet group, Neural Comput. Appl. 2018, 29, 595–601.
- Ali, M., Smarandache, F. and Khan, M., Study on the Development of Neutrosophic Triplet Ring and Neutrosophic Triplet Field, Mathematics, 6, 46, 2018, doi:10.3390/math6040046. Bal, M., Shalla, M.M., Olgun, N., Neutrosophic triplet cosets and quotient groups, Symmetry 2018, 10, 126.
- Kandasamy W. B.,V., Kandasamy, I. and Smarandache, F., Neutrosophic Triplets in Neutrosophic Rings, Mathematics 2019, 7, 563; doi:10.3390/math7060563.
- Zhang, X., Hu, Q., Smarandache, F. and An, X., On Neutrosophic Triplet Groups: Basic Properties, NT-Subgroups, and Some Notes, Symmetry, 2018, 10, 289; doi:10.3390/sym10070289. Çeven, Y., Smarandache, F., Correction: Ali, M., et al. Study on the Development of Neutrosophic Triplet Ring and Neutrosophic Triplet Field, Mathematics 2018, 6, 46, Mathematics 2019, 7, 565; doi:10.3390/math7060565.
- Smarandache, F., Ali, M., Neutrosophic Triplet Group (revisited), Neutrosophic sets and Systems, 26, 2019, 1-12.
Year 2020,
Volume: 41 Issue: 3, 612 - 616, 30.09.2020
Abstract
In this paper, some mistakes about the neutrosophic triplets of some neutrosophic rings in the literature are pointed out and corrected. For this purpose, the neutrosophic triplets in neutrosophic rings , and where Z, Q and R denote the ring of integers, field of rationals and field of reals respectively are reinvestigated. It was claimed that has only trivial neutrosophic triplet in a paper which was recently published in Mathematics. But, as a result of the calculations, it was seen that has non-trivial neutrosophic triplets. Also neutrosophic triplets of the rings and in the same literature was calculated incomplete.
References
- Smarandache, F., Neutrosophic set-A generalization of the intuituionistics fuzzy sets, Int. J. Pure Appl. Math. 2005, 3, 287–297.
- Smarandache, F., Neutrosophic Perspectives: Triplets, Duplets, Multisets, Hybrid Operators, Modal Logic, Hedge Algebras, and Applications, Pons Publishing House: Brussels, Belgium, 2017.
- Smarandache, F. and Ali, M., Neutrosophic triplet group, Neural Comput. Appl. 2018, 29, 595–601.
- Ali, M., Smarandache, F. and Khan, M., Study on the Development of Neutrosophic Triplet Ring and Neutrosophic Triplet Field, Mathematics, 6, 46, 2018, doi:10.3390/math6040046. Bal, M., Shalla, M.M., Olgun, N., Neutrosophic triplet cosets and quotient groups, Symmetry 2018, 10, 126.
- Kandasamy W. B.,V., Kandasamy, I. and Smarandache, F., Neutrosophic Triplets in Neutrosophic Rings, Mathematics 2019, 7, 563; doi:10.3390/math7060563.
- Zhang, X., Hu, Q., Smarandache, F. and An, X., On Neutrosophic Triplet Groups: Basic Properties, NT-Subgroups, and Some Notes, Symmetry, 2018, 10, 289; doi:10.3390/sym10070289. Çeven, Y., Smarandache, F., Correction: Ali, M., et al. Study on the Development of Neutrosophic Triplet Ring and Neutrosophic Triplet Field, Mathematics 2018, 6, 46, Mathematics 2019, 7, 565; doi:10.3390/math7060565.
- Smarandache, F., Ali, M., Neutrosophic Triplet Group (revisited), Neutrosophic sets and Systems, 26, 2019, 1-12.
There are 7 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Natural Sciences |
| Authors | |
| Publication Date | September 30, 2020 |
| Submission Date | February 5, 2020 |
| Acceptance Date | July 20, 2020 |
| Published in Issue | Year 2020Volume: 41 Issue: 3 |