Volume 4 , Issue 2 , PP: 57-64, 2022 | Cite this article as | XML | Html | PDF | Full Length Article
Prem Kumar Singh 1 *
Doi: https://doi.org/10.54216/JNFS.040205
Recently, the data with Turiyam set is introduced for precise representation of human cognition. It gives a way to represent the conscious, unconscious, indeterminate and superconscious state of quantum cognition. In this way, the Turiyam set given a way to represent the human cognition in a democratic system like India where people support a party, reject the party, absent and support NOTA. In similar way conflict among two people can be represented via four way like there is conflict, no conflict, partially conflict or uncertainty about conflict, and last nothing unknown to each other. The precise representation of these types of data which changes at every given phase of time. To deal with these types of human cognition and its quantum state Quaternion set is introduced in this paper.
Cognitive science , Fourth dimension , Non-Euclidean , Quantum State , Quaternion , Turiyam set
[1] Srinivasan N., “Consciousness without content: A look at evidence and prospects”, Front. Psychology, Vol 11,
pp. 1992, 2020, https://doi.org/10.3389/fpsyg.2020.01992
[2] Singh P. K., “Turiyam set a fourth dimension data representation”, Journal of Applied Mathematics and Physics,
Vol. 9(7), pp. 1821-1828, 2021, DOI: 10.4236/jamp.2021.97116
[3] Singh P. K., “Fourth dimension data representation and its analysis using Turiyam Context”, Journal of
Computer and Communications, Vol. 9(6), pp. 222-229, 2021. DOI: 10.4236/jcc.2021.96014
[4] Atangana A., Mekkaoui T., “Trinition the complex number with two imaginary parts: Fractal, chaos and
fractional calculus”, Chaos Solitions and Fractals, Vol 128, pp. 366-381, 2019.
[5] Singh. PK, “Data with Non-Euclidean Geometry and its Characterization”. Journal of Artificial Intelligence and
Technology, 2021, DOI: 10.37965/jait.2021.12001
[6] Singh P.K., “Complex fuzzy concept lattice”, Neural Processing Letters, Vol. 49, Issue 3, pp. 1511-1526, 2019,
doi: 10.1007/s11063-018-9884-7
[7] Singh PK, “Data with Turiyam Set for Fourth Dimension Quantum Information Processing.” Journal of
Neutrosophic and Fuzzy Systems, Volume 1, Issue 1, pp. 9-23, 2021, DOI:
https://doi.org/10.54216/JNFS.010101
[8] Buckley JJ, "Fuzzy complex numbers", Fuzzy Sets Syst., vol. 33, pp. 333-345, 1989.
[9] Nguyen TH, Kandel A, Kreinovich V, “Complex fuzzy sets: towards new foundations” The ninth IEEE
international conference on fuzzy systems, 2 (2000), pp. 1045-1048, 10.1109/FUZZY.2000.839195
[10] Ramot D., Milo R., Friedman M., Kandel A., "Complex fuzzy sets", IEEE Trans. Fuzzy Syst., vol. 10, no. 2, pp.
171-186, Apr. 2002.
[11] Singh P.K., “Complex multi-–fuzzy context analysis at different granulation”. Granular Computing, Vol. 6,
Issue 1, pp. 191-206, 2021, DOI: 10.1007/s41066-019-00180-8
[12] Singh P.K., “Complex vague set based concept lattice”, Chaos, Solitons and Fractals, Vol.96, pp. 145–153,
2017, doi:10.1016/j.chaos.2017.01.019
[13] Yang L, Miao J, Kou KI, “Quaternion-based Color Image Completion via Logarithmic Approximation”,
Information Sciences (2021), doi: https://doi.org/10.1016/j.ins.2021.12.055
[14] Singh PK, “Complex Plithogenic Set”. International Journal of Neutrosophic Sciences, Vol 18, Issue 1, pp. 57-
72, 2022, doi : https://doi.org/10.54216/IJNS.180106
[15] Bal M, Singh PK, Katy D. Ahmad, A Short Introduction To The Symbolic Turiyam Vector Spaces and
Complex Numbers, Journal of Neutrosophic and Fuzzy Systems, Vol. 2 , No. 1 , pp. 76-87, 2022 , doi :
https://doi.org/10.54216/JNFS.020107)
[16] Bal M, Singh PK, Katy D. Ahmad, A Short Introduction To The Concept Of Symbolic Turiyam Matrix, Journal
of Neutrosophic and Fuzzy Systems, Vol. 2 , No. 1 , pp. 88-99, 2022, doi :
https://doi.org/10.54216/JNFS.020108)
[17] Belnap J. N. , “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, 1975.
[18] Font J. M., “Belnap's Four-Valued Logic and De Morgan Lattices.” In: Logic Journal of the IGPL, Vol. 5, no.
3, pp. 1-29, 1997, doi: 10.1093/jigpal/5.3.1-e.
[19] Singh P.K., “Four way Turiyam Set based Human Quantum Cognition Analysis.” Journal of Artificial
Intelligence and Technology, Vol. 2, pp. 144-151, 2022, DOI: https://doi.org/10.37965/jait.2022.0123
