Galoitica: Journal of Mathematical Structures and Applications
Journal DOI
2834-5568ISSN (Online)
Volume 9 , Issue 1 , PP: 08-22, 2023 | Cite this article as | XML | Html | PDF | Full Length Article
Prem Kumar Singh 1 *
Doi: https://doi.org/10.54216/GJMSA.090101
Recent time Turiyam set is considered as one of the prominent tool to explore unknown or undefined objects. The elementary school is one of the suitable examples where child explore each of the unknown objects. In this stage the child develop its Turiyam cognition based on its consciousness. It can be characterized as true learning (t), false learning, (f), uncertain learning (i) and last liberal or unknown or not required at this stage which can be explored later (l). The child refused to learn any topic can be found via 4-(t+i+f+l) in case of four independent events otherwise 1-(t+i+f+l) in case of dependent events. These unknown or liberal examples which include child quantum cognition need Turiyam logic. This paper tried to explore those concepts and examples in this paper.
Consciousness , Four Valued , Non-Euclidean , Turiyam Cognition , Turiyam Set , Unknown.
[1] P. K. Singh, Data with Turiyam Set for Fourth Dimension Quantum Information Processing, Journal of Neutrosophic and Fuzzy Systems, Vol 1, Issue 1, pp. 9-23, Year 2021, https://doi.org/10.54216/JNFS.010101
[2] P. K. Singh, Quaternion set for dealing fluctuation in quantum turiyam cognition. Journal of Neutrosophic and Fuzzy Systems, Vol, 4, Issue 2, pp. 57-64, Year 2022, https://doi.org/10.54216/JNFS.040205
[3] P. K. Singh, Four-Way Turiyam based Characterization of Non-Euclidean Geometry, Journal of Neutrosophic and Fuzzy Systems, Vol. 5, Issue 2, pp. 69-80, Year 2023, https://doi.org/10.54216/JNFS.050207
[4] A. A. Basher, K. D. Ahmad, R. Ali, An Introduction to the Symbolic Turiyam Groups and AH-Substructures. Journal of Neutrosophic and Fuzzy Systems, Vol. 3, Issue 2, pp. 43-53, Year 2022, https://doi.org/10.54216/JNFS.030205
[5] Abdelhamid, Abdelaziz A., S. K. Towfek, Nima Khodadadi, Amel Ali Alhussan, Doaa Sami Khafaga, Marwa M. Eid, and Abdelhameed Ibrahim, Waterwheel Plant Algorithm: A Novel Metaheuristic Optimization Method, Processes, Vol. 11, Issue 5, Article Id 1502, Year 2023, https://doi.org/10.3390/pr11051502
[6] O. V. Shtawzen, Conjectures for Invertible Diophantine Equations Of 3-Cyclic and 4-Cyclic Refined Integers, Journal of Neutrosophic and Fuzzy Systems, Vol. 3, Issue 2, pp 32-36, Year 2022. https://doi.org/10.54216/JNFS.030203
[7] A. Ani, M. Mashadi, S. Gemawati, Invers Moore-Penrose pada Matriks Turiyam Simbolik Real, Jambura Journal of Mathematics, Vol. 5, Issue 1, pp. 95-114, Year 2023, https://repository.unri.ac.id/handle/123456789/10982
[8] R. Anggraini, Ganeralizasi eneralisasi invers pada matriks Turiyam simbolik real, URI: https://repository.unri.ac.id/handle/123456789/10983
[9] G.A. Ganati, V. N. S. R. Repalle, M.A. Ashebo, Relations in the context of Turiyam sets, BMC Research Notes, Vol. 16, Issue 49, pp. 1-6, Year 2023, https://doi.org/10.1186/s13104-023-06292-4
[10] G.A. Ganati, V. N. S. R. Repalle, M.A. Ashebo, Social network analysis by Turiyam graphs. BMC Research Notes, Vol. 16, Issue 170, pp. 1-9, Year 2023), https://doi.org/10.1186/s13104-023-06435-7
[11] G.A. Ganati, V. N. S. R. Repalle, M.A. Ashebo, M. Amini, Turiyam Graphs and its Applications, Information Sciences Letters, Vol. 12, Issue 6, pp. 2423-2434, Year 2023, doi: 10.18576/isl/120618
[12] P. K. Singh, Turiyam Set and its Mathematical Distinction from Other Sets. Galoitica: Journal of Mathematical Structures and Applications, Vol. 8, Issue 1, pp. 08-19, Year 2023, https://doi.org/10.54216/GJMSA.080101
[13] Kawther F. Hamza Alhasan, Modern Elementary School: Neutrosophic and Education, Journal of Neutrosophic and Fuzzy Systems, Vol. 7 , No. 1, pp. 31-36, 2023.
[14] B. Sinclair-Desgagne, Mining for Unknown Unknowns, Available at SSRN 4426652, EPTCS 379, pp. 507-517, Year 2023, https://doi.org/10.48550/arXiv.2307.05071
[15] X. Deng, C. H. Papadimitriou, Exploring an unknown graph, In: Proceedings of 31st Annual Symposium on Foundations of Computer Science, Vol. 1, pp. 355-361, Year 1990. doi:10.1109/FSCS.1990.89554
[16] S. Lawrence, Life, architecture, mathematics and fourth dimensions, Nexus Network Journal, Vol. 17, pp. 587-604, Year 2015, https://doi.org/10.1007/s00004-014-0221-9
[19] J. N. Belnap, A useful four-valued logic. In J. Michael Dunn and George Epstein, editors, Proceedings of the Fifth International Symposium on Multiple-Valued Logic, Modern Uses of Multiple-Valued Logic. Indiana University, D. Reidel Publishing Company, pp 8-37, Year 1975.
[20] M. S. Silva, Latest Advances on AI and Robotics Applications, Journal of Artificial Intelligence and Technology, Vol. 2, Issue 4. pp. 131, Year 2022,http://dx.doi.org/10.37965/jait.2022.0139
[21] Z. Zhang, X. Xu, F. Yue, Y. Ba, Robot path planning based on concept lattice. International Journal of Approximate Reasoning, Vol. 153, pp. 87-103, Year 2023,https://doi.org/10.1016/j.ijar.2022.11.013
[22] B. Said, M. Lathamaheswari, P. K. Singh, A. A. Ouallane, A Bakhouyi, A. Bakali, N. Deivanayagampillai, An Intelligent Traffic Control System Using Neutrosophic Sets, Rough sets, Graph Theory, Fuzzy sets and its Extended Approach: A Literature Review, Neutrosophic Sets Syst, Vol. 50, pp. 10-26, Year 2022, https://digitalrepository.unm.edu/nss_journal/vol50/iss1/2
[23] P. K. Singh, Four way Turiyam Set based Human Quantum Cognition Analysis, Journal of Artificial Intelligence and Technology, Vol. 2, Issue 4, pp. 144-151, Year 2022, https://doi.org/10.37965/jait.2022.0123
[24] S., Four-Dimensional Space, Nature, Vol. 31, pp. 481, year 1885, https://doi.org/10.1038/031481a0
[25] A. Vitória, A. Szałas, J. Małuszyński, Four-Valued Extension of Rough Sets. In: Wang, G., Li, T., Grzymala-Busse, J.W., Miao, D., Skowron, A., Yao, Y. (eds) Rough Sets and Knowledge Technology. RSKT 2008. Lecture Notes in Computer Science, Vol 5009. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79721-0_19
[26] E. Irmak, E., Ö Kurtuldu, Concept of 4th Dimension for Databases. In: Proceedings of 2015 IEEE 14th International Conference on Machine Learning and Applications (ICMLA), Miami, FL, USA, 2015, pp. 1159-1162, doi:10.1109/ICMLA.2015.186
[27] P. K. Singh, A Note on Basic Proof of Some Famous Mathematical Theorem and its Illustrations, Journal of Neutrosophic and Fuzzy Systems, Vol 3, Issue 1, pp. 39-53, Year 2022.
[28] F. Smarandache, A unifying field in logics neutrosophy: neutrosophic probability, set and logic. American Research Press, Rehoboth (1999)
[29] U. Rivieccio, Neutrosophic logics: prospects and problems, Fuzzy Sets Syst, Vol. 159, Issue 14, pp. 1860–1868, Year 2008, https://doi.org/10.1016/j.fss.2007.11.011
[30] K. B. Othman, On Some Properties of Dedekind Lattices, Galoitica: Journal of Mathematical Structures and Applications, Vol. 3 , Issue 1 , pp. 14-17, Year 2023, https://doi.org/10.54216/GJMSA.030102
