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International Journal of Neutrosophic Science
Volume 8 , Issue 1, PP: 09-18 , 2020 | Cite this article as | XML | Html |PDF

Title

Concepts of Neutrosophic Complex Numbers

  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.080101


Abstract :

In this paper, concept of neutrosophic complex numbers and its properties were presented inculding the conjugate of neutrosophic complex number, division of neutrosophic complex numbers, the inverted neutrosophic complex number and the absolute value of a neutrosophic complex number. Theories related to the conjugate of neutrosophic complex numbers are proved, the product of  a neutrosophic complex number by its conjugate equals the absolute value of number is also proved. This is an important introduction to define neutrosophic complex numbers in polar.

Keywords :

Classical neutrosophic numbers , Neutrosophic complex numbers , Conjugate.

References :

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

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

[3]  F.Smarandache, "Neutrosophy. / Neutrosophic Probability, Set, and Logic", American Research Press, Rehoboth, USA, 1998.

[4]  F.Smarandache, "Introduction to Neutrosophic statistics", Sitech-Education Publisher, PP:34-44, 2014.

[5]  F.Smarandache, "A Unifying Field in Logics: Neutrosophic Logic, Preface by Charles Le, American Research Press, Rehoboth, 1999, 2000. Second edition of the Proceedings of the First International Conference on Neutrosophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Probability and Statistics", University of New Mexico, Gallup, 2001.   

[6]  F.Smarandache, "Proceedings of the First International Conference on Neutrosophy", Neutrosophic Set, Neutrosophic Probability and Statistics, University of New Mexico, 2001.

[7]  F.Smarandache, "Neutrosophy and Neutrosophic Logic, First International Conference on Neutrosophy, Neutrosophic Logic, Set, Probability, and Statistics" University of New Mexico, Gallup, NM 87301, USA 2002.

[8]  F.Smarandache, "Neutrosophic Precalculus and Neutrosophic Calculus", book, 2015.

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

[10]        S. A. Edalatpanah, "A Direct Model for Triangular Neutrosophic Linear Programming", International Journal of Neutrosophic Science, Volume 1 , Issue 1, pp. 19-28 , 2020.

[11]        A. Chakraborty, "A New Score Function of Pentagonal Neutrosophic Number and its Application in Networking Problem", International Journal of Neutrosophic Science,  Volume 1 , Issue 1, pp.40-51 , 2020.

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

 

 


Cite this Article as :
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MLA Yaser Ahmad Alhasan. "Concepts of Neutrosophic Complex Numbers." International Journal of Neutrosophic Science, Vol. 8, No. 1, 2020 ,PP. 09-18 (Doi   :  https://doi.org/10.54216/IJNS.080101)
APA Yaser Ahmad Alhasan. (2020). Concepts of Neutrosophic Complex Numbers. Journal of International Journal of Neutrosophic Science, 8 ( 1 ), 09-18 (Doi   :  https://doi.org/10.54216/IJNS.080101)
Chicago Yaser Ahmad Alhasan. "Concepts of Neutrosophic Complex Numbers." Journal of International Journal of Neutrosophic Science, 8 no. 1 (2020): 09-18 (Doi   :  https://doi.org/10.54216/IJNS.080101)
Harvard Yaser Ahmad Alhasan. (2020). Concepts of Neutrosophic Complex Numbers. Journal of International Journal of Neutrosophic Science, 8 ( 1 ), 09-18 (Doi   :  https://doi.org/10.54216/IJNS.080101)
Vancouver Yaser Ahmad Alhasan. Concepts of Neutrosophic Complex Numbers. Journal of International Journal of Neutrosophic Science, (2020); 8 ( 1 ): 09-18 (Doi   :  https://doi.org/10.54216/IJNS.080101)
IEEE Yaser Ahmad Alhasan, Concepts of Neutrosophic Complex Numbers, Journal of International Journal of Neutrosophic Science, Vol. 8 , No. 1 , (2020) : 09-18 (Doi   :  https://doi.org/10.54216/IJNS.080101)