Volume 10 • Issue 1 • PP: 36-44 • 2020
The Polar form of a Neutrosophic Complex Number
Open Access & Copyright
© 2020 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
View PDF Abstract
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.
Keywords
References
[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
Cite This Article
Choose your preferred format
Publisher's Note
The statements, opinions, and data presented in this article are solely those of the author(s) and do not necessarily represent those of ASPG, the journal, or its editors. ASPG and the editors disclaim responsibility for any harm arising from the use of any ideas, methods, instructions, or products described in this article, to the fullest extent permitted by applicable law.