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International Journal of Neutrosophic Science
Volume 8 , Issue 1, PP: 19-33 , 2020 | Cite this article as | XML | Html |PDF

Title

Octagonal Neutrosophic Number: Its Different Representations, Properties, Graphs and De-neutrosophication with the application of Personnel Selection

  Muhammad Saqlain 1 * ,   Florentin Smarandache 2

1  Department of Mathematics, Lahore Garrison University, Lahore, Pakistan
    (msaqlain@lgu.edu.pk)

2  Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA
    (smarand@unm.edu)


Doi   :   https://doi.org/10.54216/IJNS.080102


Abstract :

To deal with fluctations in decision-making, fuzzy / neutrosophic numbers are used. The problem having more fluctuations are difficult to sovle. Thus it is a dire need to define higher order number, also It is a very curious question by researchers all around the world that how octagonal neutrosophic number can be represented and how to be graphed? In this research article, the primarily focused on the representation and graphs of octagonal neutrosophic number. at last,  a case study is  done using  VIKOR method based on octagonal neutrosophic number. These representations will be helpful in multi-criteria decision making problems in the case that there are large number of fluctuations. Finally, concluded the present work with future directions.

Keywords :

Neutrosophic Number , Octagonal Number , VIKOR Method , MCDM , Uncertainty , Indeterminacy , Accuracy Function , De-neutrosophication

References :

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[12]                 Saqlain. M., Jafar. N. and Riffat. A., Smart phone selection by consumers’ in Pakistan: FMCGDM fuzzy multiple criteria group decision making approach, Gomal University Journal of Research, vol 34(1), pp. 27-31, 2018.

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[20]                 M. Saqlain, A. Hamza, and S. Farooq, “Linear and Non-Linear Octagonal Neutrosophic Numbers: Its Representation, α-Cut and Applications,” International Journal of Neutrosophic Science, vol. 3, no. 1, pp. 29–43, 2020.

 

[21]                 Saqlain M, Saeed M, Ahmad M. R, Smarandache F, (2019), Generalization of TOPSIS for Neutrosophic Hypersoft set using Accuracy Function and its Application, Neutrosophic Sets and Systems (NSS), 27: 131-137.


Cite this Article as :
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MLA Muhammad Saqlain, Florentin Smarandache. "Octagonal Neutrosophic Number: Its Different Representations, Properties, Graphs and De-neutrosophication with the application of Personnel Selection." International Journal of Neutrosophic Science, Vol. 8, No. 1, 2020 ,PP. 19-33 (Doi   :  https://doi.org/10.54216/IJNS.080102)
APA Muhammad Saqlain, Florentin Smarandache. (2020). Octagonal Neutrosophic Number: Its Different Representations, Properties, Graphs and De-neutrosophication with the application of Personnel Selection. Journal of International Journal of Neutrosophic Science, 8 ( 1 ), 19-33 (Doi   :  https://doi.org/10.54216/IJNS.080102)
Chicago Muhammad Saqlain, Florentin Smarandache. "Octagonal Neutrosophic Number: Its Different Representations, Properties, Graphs and De-neutrosophication with the application of Personnel Selection." Journal of International Journal of Neutrosophic Science, 8 no. 1 (2020): 19-33 (Doi   :  https://doi.org/10.54216/IJNS.080102)
Harvard Muhammad Saqlain, Florentin Smarandache. (2020). Octagonal Neutrosophic Number: Its Different Representations, Properties, Graphs and De-neutrosophication with the application of Personnel Selection. Journal of International Journal of Neutrosophic Science, 8 ( 1 ), 19-33 (Doi   :  https://doi.org/10.54216/IJNS.080102)
Vancouver Muhammad Saqlain, Florentin Smarandache. Octagonal Neutrosophic Number: Its Different Representations, Properties, Graphs and De-neutrosophication with the application of Personnel Selection. Journal of International Journal of Neutrosophic Science, (2020); 8 ( 1 ): 19-33 (Doi   :  https://doi.org/10.54216/IJNS.080102)
IEEE Muhammad Saqlain, Florentin Smarandache, Octagonal Neutrosophic Number: Its Different Representations, Properties, Graphs and De-neutrosophication with the application of Personnel Selection, Journal of International Journal of Neutrosophic Science, Vol. 8 , No. 1 , (2020) : 19-33 (Doi   :  https://doi.org/10.54216/IJNS.080102)