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Full Length Article
International Journal of Neutrosophic Science
Volume 16 , Issue 1, PP: 28-41 , 2021 | Cite this article as | XML | Html |PDF


Air Quality Index Analysis Using Single-Valued Neutrosophic Plithogenic Graph for Multi-Decision Process

Authors Names :   Prem Kumar Singh   1 *  

1  Affiliation :  Department of Computer Science and Engineering, Gandhi Institute of Technology and Management, Visakhapatnam, Andhra Pradesh, India

    Email :  premsingh.csjm@gmail.com, premsingh.csjm@yahoo.com (ORCID: 0000-0003-1465-6572)

Doi   :   https://doi.org/10.54216/IJNS.160103

Received: July 02, 2021 Accepted: October 29, 2021

Abstract :

Recently, Plithogenic set and its graphical structure visualization is stuide for dealing with multi-attribute data set. In this pocess a problem arises while characterization of uncertainty in tue, false and uncertain regions, independently. One of the suitable examples is Air Quality Index and its impact on human health contains multi-valued attributes. In this case the conflict may arise among two experts about acceptation, rejection and uncertain impact of AQI for human health. To resolve this issue a single-valued neutrosophic Plithogenic set and its graphical strcutue visualization is discussed in this paper with an illustrative example.

Keywords :

Knowledge representation; Graph Analytics; Neutrosophic set; Plithogenic set; Plithogenic graph

References :

[1]   Prem Kumar Singh, “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

[2]   Prem Kumar Singh, “Three-way fuzzy concept lattice representation using neutrosophic set,” International Journal of Machine Learning and Cybernetics, Vol 8(1), pp. 69-79, 2017.

[3]   Smarandache, F.,  “Neutrosophy. Neutrosophic probability, set, and logic, ProQuest Information and Learning”, Ann Arbor, Michigan, USA, 1998.

[4]   Broumi S, Talea M, Bakali A, Samarandache F., “Single-valued Neutrosophic graph.” Journal of New Theory Vol 10, pp 86-101, 2016.

[5]   Prem Kumar Singh, “Complex neutrosophic concept lattice and its applications to Air quality analysis,” Chaos, Solitons and Fractals, Vol 109, pp. 206-213, 2018.

[6]   Smarandache F., “Plithogeny, Plithogenic Set, Logic, Probability, and Statistics”. Pons Publishing House, Brussels 2017.

[7]   Smarandache F., “Extension of soft set to hypersoft set, and then to plithogenichypersoft set”. Neutrosophic Set and System, Vol 22, pp. 168-170, 2018. 

[8]   Prem Kumar Singh, “Plithogenic set for multi-variable data analysis”. International Journal of Neutrosophic Sciences, Vol 1(2), pp. 81-89, 2020.  

[9]    Gayen S., Smarandache F., Jha S., Singh M.K., Broumi S., Kumar R., “Introduction of Plithogenic hypersoft subgroup,” Neutrosophic Sets and Systems, Vol 33, pp. 208-233, 2020.

[10] Rana S, Qayuum M., Saeed M., Samarandache F., Khan B.A., “Plithogenic fuzzy, whole hypersoft set, construction of operators and their application in frequency matrix multi attribute decision making technique,” Neutrosophic Sets and Systems, Vol 28, pp. 34-50, 2019.

[11] Priyadharsini S. P., Irudayam F. N., Smarandache F.,  “Plithogenic Cubic Set”. International Journal of Neutrosophic Sciences, Vol 11(1), pp. 30-38, 2020.

[12] Prem Kumar Singh, “Single-valued Plithogenic graph for handling multi-valued attribute data its context,” International Journal of Neutrosophic Sciences, Vol 15(2), pp. 98-112, 2021

[13] Prem Kumar Singh, “m-polar fuzzy graph representation of concept lattice,” Engineering Applications of Artificial Intelligence, Vol 6, pp. 52-62, 2018.

[14] Prem Kumar Singh, “Cubic graph representation of concept lattice and its decomposition,” Evolving Systems (2021). https://doi.org/10.1007/s12530-021-09400-6

[15] Smarandache F., “NeutroGeometry & AntiGeometry are alternatives and generalizations of the Non-Euclidean Geometries,” Neutrosophic Sets and Systems, Vol 46, pp. 456-476, 2021. http://fs.unm.edu/NSS/NeutroGeometryAntiGeometry31.pdf




Cite this Article as :
Prem Kumar Singh, Air Quality Index Analysis Using Single-Valued Neutrosophic Plithogenic Graph for Multi-Decision Process, International Journal of Neutrosophic Science, Vol. 16 , No. 1 , (2021) : 28-41 (Doi   :  https://doi.org/10.54216/IJNS.160103)