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International Journal of Neutrosophic Science
Volume 4 , Issue 1, PP: 47-71 , 2020 | Cite this article as | XML | Html |PDF

Title

Exponential Laws and Aggregation Operators on Neutrosophic Cubic Sets

  Majid Khan 1 * ,   Ismat Beg 2 ,   Muhammad Gulistan 3

1  Hazara University, Mansehra, Pakistan
    (majid_swati@yahoo.com)

2  Lahore School of Economics, Lahore, Pakistan
    (gulistanmath@hu.edu.pk)

3  Hazara University, Mansehra, Pakistan
    (ibeg@lahoreschool.edu.pk)


Doi   :   https://doi.org/10.54216/IJNS.040105


Abstract :

This paper presents operational laws along with their cosine measure for the numbers whose base is an interval value and study their properties. Consequent upon these definitions and properties neutrosophic cubic weighted exponential averaging and dual neutrosophic cubic weighted exponential averaging aggregation operators are defined. A multi attribute decision making method is then developed for proposed aggregation operators. An example is constructed as an application. The validity of multi attribute decision making method is also tested and comparative analysis is provided to compare these aggregation operators with existing results.

Keywords :

Neutrosophic cubic number; dual neutrosophic cubic number; neutrosophic cubic exponential weighted averaging; dual neutrosophic cubic exponential weighted averaging ; multi attribute decision making.

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Cite this Article as :
Style #
MLA Majid Khan , Ismat Beg , Muhammad Gulistan. "Exponential Laws and Aggregation Operators on Neutrosophic Cubic Sets." International Journal of Neutrosophic Science, Vol. 4, No. 1, 2020 ,PP. 47-71 (Doi   :  https://doi.org/10.54216/IJNS.040105)
APA Majid Khan , Ismat Beg , Muhammad Gulistan. (2020). Exponential Laws and Aggregation Operators on Neutrosophic Cubic Sets. Journal of International Journal of Neutrosophic Science, 4 ( 1 ), 47-71 (Doi   :  https://doi.org/10.54216/IJNS.040105)
Chicago Majid Khan , Ismat Beg , Muhammad Gulistan. "Exponential Laws and Aggregation Operators on Neutrosophic Cubic Sets." Journal of International Journal of Neutrosophic Science, 4 no. 1 (2020): 47-71 (Doi   :  https://doi.org/10.54216/IJNS.040105)
Harvard Majid Khan , Ismat Beg , Muhammad Gulistan. (2020). Exponential Laws and Aggregation Operators on Neutrosophic Cubic Sets. Journal of International Journal of Neutrosophic Science, 4 ( 1 ), 47-71 (Doi   :  https://doi.org/10.54216/IJNS.040105)
Vancouver Majid Khan , Ismat Beg , Muhammad Gulistan. Exponential Laws and Aggregation Operators on Neutrosophic Cubic Sets. Journal of International Journal of Neutrosophic Science, (2020); 4 ( 1 ): 47-71 (Doi   :  https://doi.org/10.54216/IJNS.040105)
IEEE Majid Khan, Ismat Beg, Muhammad Gulistan, Exponential Laws and Aggregation Operators on Neutrosophic Cubic Sets, Journal of International Journal of Neutrosophic Science, Vol. 4 , No. 1 , (2020) : 47-71 (Doi   :  https://doi.org/10.54216/IJNS.040105)