Volume 11 , Issue 2 , PP: 100-107, 2020 | Cite this article as | XML | Html | PDF | Full Length Article
Yaser Ahmad Alhasan 1
Doi: https://doi.org/10.54216/IJNS.0110204
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.
classical neutrosophic numbers, neutrosophic complex numbers, indeterminacy, conjugate, the general exponential form
[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.
[4] F.Smarandache, "Neutrosophy. / Neutrosophic Probability, Set, and Logic", American Research Press, Rehoboth, USA, 1998.
[5] F.Smarandache, "Introduction to Neutrosophic statistics", Sitech-Education Publisher, PP:34-44, 2014.
[6] 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.
[7] F.Smarandache, "Proceedings of the First International Conference on Neutrosophy", Neutrosophic Set, Neutrosophic Probability and Statistics, University of New Mexico, 2001.
[8] 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.
[9] F.Smarandache, "Neutrosophic Precalculus and Neutrosophic Calculus", book, 2015.
[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.
[11] S. A. Edalatpanah, "A Direct Model for Triangular Neutrosophic Linear Programming", International Journal of Neutrosophic Science, Volume 1 , Issue 1, PP: 19-28 , 2020
[12] 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
[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
