Volume 10 , Issue 1 , PP: 36-44, 2020 | Cite this article as | XML | Html | PDF | Full Length Article
Riad K. Al-Hamido 1 , Mayas Ismail 2 , Florentin Smarandache 3
In this paper, we will define the exponential form of a neutrosophic complex number. We have proven some characteristics and theories, including the conjugate of the exponential form of a neutrosophic complex number, division of the exponential form of a neutrosophic complex numbers, multiplication of the exponential form of a neutrosophic complex numbers. In addition, we have given the method of changing from the exponential to the algebraic form of a complex number.
Neutrosophic numbers, , neutrosophic complex number, the exponential form of a neutrosophic complex number.
[1] F. Smarandache,"Neutrosophic Precalculus and Neutrosophic Calculus", EuropaNova asbl, Clos du Parnasse, 3E 1000, Bruxelles, Belgium, 2015.
[2] F. Smarandache, "An Introduction to Neutrosophic Probability Applied in Quantum Physics", Bulletin of the American Physical Society, 2009 APS April Meeting, Volume 54, Number 4, Saturday–Tuesday, May 2–5, 2009; Denver, Colorado, USA, http://meetings.aps.org/Meeting/APR09/Event/102001.
[3] F. Smarandache, "An Introduction to Neutrosophic Probability Applied in Quantum Physics", SAO/NASA ADS Physics Abstract Service, http://adsabs.harvard.edu/abs/2009APS..APR.E1078S.
[4] F. Smarandache, "A Unifying Field in Logics: Neutrosophic Logic, Neutrosophic Set", Neutrosophic Probability and Statistics, (1999), (2000), (2003), (2005).
[5] F. Smarandache; Huda E.Khalid,"Neutrosophic Precalculus and Neutrosophic Calculus", Second enlarged edition, Pons asbl, 5, Quai du Batelage, Brussels, Belgium, European Union, 2018.
[6] L. Zadeh, "Fuzzy sets, Inform and Control", 8, pp.338-353, 1965.
[7] A. A Salama; I. M Hanafy; Hewayda Elghawalby Dabash M.S,"Neutrosophic Crisp Closed Region and Neutrosophic Crisp Continuous Functions", New Trends in Neutrosophic Theory and Applications.
[8] A. A Salama; Hewayda Elghawalby; M.S. Dabash; A. M. NASR ,"Retrac Neutrosophic Crisp System For Gray Scale Image", Asian Journal of Mathematics and Computer Research, Vol. 24, 104-117-22, 2018.
[9] A. A Salama,"Basic Structure of Some Classes of Neutrosophic Crisp Nearly Open Sets & Possible Application to GIS Topology", Neutrosophic Sets and Systems, Vol. 7, 18-22, 2015.
[10] A. A Salama, F. Smarandache," Neutrosophic Crisp Set Theory", Neutrosophic Sets and Systems, Vol. 5, 1-9, 2014.
[11] 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.
[12] M. Abdel-Basset; M. Mai, E. Mohamed; C. Francisco;H. Z. Abd El-Nasser, "Cosine similarity measures of bipolar neutrosophic set for diagnosis of bipolar disorder diseases", Artificial Intelligence in Medicine Vol. 101 , 101735,2019.
[13] M. Abdel-Basset; E. Mohamed; G. Abduallah; and S. Florentin, "A novel model for evaluation Hospital medical care systems based on plithogenic sets", Artificial intelligence in medicine 100, 101710, 2019.
[14] M. Abdel-Basset; G. Gunasekaran Mohamed; G. Abduallah. C. Victor,"A Novel Intelligent Medical Decision Support Model Based on Soft Computing and IoT", IEEE Internet of Things Journal, Vol. 7, 2019.
[15] M. Abdel-Basset; G. Abduallah; G. Gunasekaran; L. Hoang Viet, "A novel group decision making model based on neutrosophic sets for heart disease diagnosis", Multimedia Tools and Applications, pp.1-26, 2019.
[16] R.K. Al-Hamido,"Neutrosophic Crisp Supra Bi-Topological Spaces", International Journal of Neutrosophic Science, Vol. 1, 66-73, 2018.
[17] R.K. Al-Hamido,"Neutrosophic Crisp Bi-Topological Spaces", Neutrosophic Sets and Systems, vol. 21, pp.66-73, 2018.
[18] R.K. Al-Hamido; T. Gharibah; S. Jafari, F.Smarandache, "On Neutrosophic Crisp Topology via N-Topology", Neutrosophic Sets and Systems, vol. 21, 96-109, 2018.
[19] V. Christianto; F. Smarandache; M. Aslam, "How we can extend the standard deviation notion with neutrosophic interval and quadruple neutrosophic numbers", International Journal of Neutrosophic Science, vol. 2, No. 2, pp.72-76 , 2020.
[20] E. O. Adeleke; A. A. A. Agboola; F. Smarandache, "Refined Neutrosophic Rings I", International Journal of Neutrosophic Science, vol. 2 , No. 2, pp.77-81 , 2020.
[21] E. O. Adeleke; A. A. A. Agboola; F. Smarandache, "Refined Neutrosophic Rings II", International Journal of Neutrosophic Science, vol 2. , No. 2, pp.89-94 , 2020.
[22] M. A. Ibrahim; A. A. A. Agboola; E. O. Adeleke; S. A. Akinleye, "Introduction to Neutrosophic Subtraction Algebra and Neutrosophic Subtraction Semigroup", International Journal of Neutrosophic Science, vol. 2 , No. 1, pp.47-62 , 2020.
[23] A. Hatip,"The Special Neutrosophic Functions", International Journal of Neutrosophic Science, vol. 4 , No. 2, pp.104-116, 2020.
[24] F. Smarandache, "Introduction to Neutrosophic Statistics", Sitech-Education Publisher, pp.34-44, 2014.
[25] Y. Alhasan, "Concepts of Neutrosophic Complex Numbers ", International Journal of Neutrosophic Science, Vol. 8 No. 1, pp. 9-18, 2020.
[26] Samah Ibrahim Abdel Aal, Mahmoud M. A. Abd Ellatif, Mohamed Monir Hassan: Two Ranking Methods of Single Valued Triangular Neutrosophic Numbers to Rank and Evaluate Information Systems Quality, Neutrosophic Sets and Systems, vol. 19,pp. 132-141, 2018. http://doi.org/10.5281/zenodo.1235339
[27] Faruk Karaaslan: Gaussian single-valued neutrosophic numbers and its application in multi-attribute decision making, Neutrosophic Sets and Systems, vol. 22, pp. 101-117, 2018. DOI: 10.5281/zenodo.2159762
[28] Surapati Pramanik, Rama Mallick: VIKOR based MAGDM Strategy with Trapezoidal Neutrosophic Numbers, Neutrosophic Sets and Systems, vol. 22, pp. 118-130,2018. DOI: 10.5281/zenodo.2160840
[29] Irfan Deli: Operators on Single Valued Trapezoidal Neutrosophic Numbers and SVTN-Group Decision Making, Neutrosophic Sets and Systems, vol. 22, pp. 131-150, 2018. DOI: 10.5281/zenodo.2160120
[30] Bibhas C. Giri, Mahatab Uddin Molla, Pranab Biswas: TOPSIS Method for MADM based on Interval Trapezoidal Neutrosophic Number, Neutrosophic Sets and Systems, vol. 22, pp. 151-167, 2018.DOI: 10.5281/zenodo.2160749
