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International Journal of Neutrosophic Science
Volume 11 , Issue 2, PP: 100-107 , 2020 | Cite this article as | XML | Html |PDF

Title

The General Exponential form of a Neutrosophic Complex Number

  Yaser Ahmad Alhasan 1

1  Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, KSA
    (y.alhasan@psau.edu.sa)


Doi   :   https://doi.org/10.54216/IJNS.0110204

Received: Jun 25, 2020 Accepted: Octobre 14, 2020

Abstract :

 In this paper, the general exponential form of a neutrosophic complex number is defined by virtue of the formula for indeterminacy in the angle (θ+ϑI), where (θ+ϑI) is the indeterminate angle between two indeterminate parts of the coordinate axes (x-axis and y-axis), and the general trigonometric form of a neutrosophic complex number is defined. In addition, we also provide theorems with proofs for how to find the conjugate of neutrosophic complex numbers by using the general exponential form, division of neutrosophic complex numbers by the general exponential form, multiplying two neutrosophic complex numbers by the general exponential form, and the inverted neutrosophic complex number by the general exponential form.

Keywords :

classical neutrosophic numbers , neutrosophic complex numbers , indeterminacy , conjugate , the general exponential form

References :

[1]    F.Smarandache, "Introduction to Neutrosophic Measure, Neutrosophic Integral, and Neutrosophic Probability", Sitech-Education Publisher, Craiova – Columbus, 2013. 

[2]   Y.Alhasan, "Concepts of Neutrosophic Complex Numbers", International Journal of Neutrosophic Science,  Volume 8 , Issue 1, pp: 9-18, 2020.

[3]   F.Smarandache "Finite Neutrosophic Complex Numbers, by W. B. Vasantha Kandasamy", Zip Publisher, Columbus, Ohio, USA, PP:1-16, 2011.

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[10] Madeleine Al- Tahan, "Some Results on Single Valued Neutrosophic (Weak) Polygroups", International Journal of Neutrosophic Science,   Volume 2 , Issue 1, PP: 38-46 , 2020.

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[13] A. Chakraborty, "Application of Pentagonal Neutrosophic Number in Shortest Path Problem", International Journal of Neutrosophic Science,  Volume 3 , Issue 1, PP: 21-28 , 2020

[14] A.A. Salama and S.A. Alblowi, "Neutrosophic set and neutrosophic topological space". ISORJ, Mathematics,Volume 3, Issue 4, PP: 31-35, 2012

[15] A. A. Salama and F. Smarandache. Filters via, "Neutrosophic Crisp Sets". Neutrosophic Sets and Systems, Volume 1, PP: 34-38, 2013

[16] W. Al-Omeri, "Neutrosophic crisp sets via neutrosophic crisp topological spaces". Neutrosophic Sets and Systems, volume 13, PP: 96–104, 2016    

 


Cite this Article as :
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MLA Yaser Ahmad Alhasan. "The General Exponential form of a Neutrosophic Complex Number." International Journal of Neutrosophic Science, Vol. 11, No. 2, 2020 ,PP. 100-107 (Doi   :  https://doi.org/10.54216/IJNS.0110204)
APA Yaser Ahmad Alhasan. (2020). The General Exponential form of a Neutrosophic Complex Number. Journal of International Journal of Neutrosophic Science, 11 ( 2 ), 100-107 (Doi   :  https://doi.org/10.54216/IJNS.0110204)
Chicago Yaser Ahmad Alhasan. "The General Exponential form of a Neutrosophic Complex Number." Journal of International Journal of Neutrosophic Science, 11 no. 2 (2020): 100-107 (Doi   :  https://doi.org/10.54216/IJNS.0110204)
Harvard Yaser Ahmad Alhasan. (2020). The General Exponential form of a Neutrosophic Complex Number. Journal of International Journal of Neutrosophic Science, 11 ( 2 ), 100-107 (Doi   :  https://doi.org/10.54216/IJNS.0110204)
Vancouver Yaser Ahmad Alhasan. The General Exponential form of a Neutrosophic Complex Number. Journal of International Journal of Neutrosophic Science, (2020); 11 ( 2 ): 100-107 (Doi   :  https://doi.org/10.54216/IJNS.0110204)
IEEE Yaser Ahmad Alhasan, The General Exponential form of a Neutrosophic Complex Number, Journal of International Journal of Neutrosophic Science, Vol. 11 , No. 2 , (2020) : 100-107 (Doi   :  https://doi.org/10.54216/IJNS.0110204)