1
Faculty of Informatics Engineering, Al-Sham Private University, Damascus, Syria
(m.j.foit@aspu.edu.sy)
2
Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, Egypt
(drsalama44@gmail.com)
Abstract :
When conducting the simulation process for any of the systems according to classical logic, we start by generating random numbers belonging to the regular probability distribution on the field [0, 1] using one of the known methods, and then we convert these random numbers into random variables that follow the probability distribution that the system to be simulated works with, the simulation process that we perform it gives specific results that do not take into account the changes that may occur in the work environment of the system, to obtain more accurate results In a previous research, we prepared a study through which we reached random neutrosophic numbers follow the uniform distribution of the neutrosophic on the field with [1 , 0] no determination that can be enjoyed by the two parties of the field, one or both together, it may be in the form of a group or a field in another research , we converted these neutrosophic random numbers into neutrosophic random variables that follow the neutrosophic exponential distribution using the opposite conversion method that depends on the cumulative distribution function of the probability distribution by which the system to be simulated works, in this research we have useda method The opposite transformation to generate random variables that follow the neutrosophic uniform distribution and we have reached relationships through which we can convert the neutrosophic random numbers that follow the neutrosophic uniform distribution defined on the domain [1 , 0] with the indeterminacy enjoyed by each end of the field, one or the other, into random variables that follow the neutrosophic uniform distribution, a b , which is a classical uniform distribution whose medians are notprecisely defined values , one or both may be cognitiven in the form of a set or a domain, so that n take into account all possible cases of mediators while maintaining the condition , and the b,a ;a<b method was illustrated through an applied example and we came up with neutrosophic random variables that follow the uniform distribution that give us more accurate simulation results when used due to the indeterminacy of neutrosophic values.
Keywords :
Uniform distribution , Simulation , Cumulative distribution function , Random numbers , Neutrosophic random variables , ,
References :
[1] F. Smarandache. Introduction to Neutrosophic statistics, Sitech & Education Publishing, 2014.
[2] Atanassov .k, Intuitionistic fuzzy sets. In V. Sgurev, ed., ITKRS Session, Sofia, June 1983, Central Sci. and Techn. Library, Bulg. Academy of Sciences, 1984.
[3] Smarandache, F, Neutrosophy and Neutrosophic Logic, First International Conference on Neutrosophy , Neutrosophic Logic, Set, Probability, and Statistics University of New Mexico, Gallup, NM 87301, USA,2002.
[4] Smarandache, F. A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability. American Research Press, Rehoboth, NM, 1999.
[5] Smarandache, F, Neutrosophic set a generalization of the intuitionistic fuzzy sets. Inter. J. Pure Apple. Math., 24, 287–297, 2005.
[6] Salama, A. A, Smarandache, F, and Kroumov, V, Neutrosophic crisp Sets & Neutrosophic crisp Topological Spaces. Sets and Systems, 2(1), 25-30, 2014.
[7] Smarandache, F. & Pramanik, S. (Eds). (2016). New trends in neutrosophic theory and applications. Brussels: Pons Editions.
[8] L.A. ZADEH. Fuzzy Sets. Inform. Control 8 (1965).
[9] Alhabib.R, Ranna.M, Farah.H and Salama, A. A, Neutrosophic Exponential Distribution. Albaath University Journal, Vol.40, 2018. (Arabic version).
[10] New Stuff M, Alhabib.R ,and Salama.A.A, The static model of inventory management without a deficit with Neutrosophic logic, International Journal of Neutrosophic Science (IJNS), Vol .16, No. 1, 2021.
[11] New Stuff M, LOVER, LOVER, I LOVE HIM. O , Salama.A.A and Khalid . H, The Neutrosophic Treatment for multiple storage problem of finite materials and volumes, International Journal of Neutrosophic Science (IJNS), Vol. 18, No. 1, 2022.
[12] New Stuff M, Salama.A.A, Alhabib.R, Khalid . H, and Alsuleiman . F, Neutrosophic Treatment of the static model of inventory management with deficit , International Journal of Neutrosophic Science (IJNS), Vol. 18, No. 1, 2022.
[13] New Stuff M, Salama.A.A and Khalid . H, Neutrosophic handling of the simplex direct algorithm to define the optimal solution in linear programming , International Journal of Neutrosophic Science (IJNS), Vol.18, No.1, 2022.
[14] New Stuff M, Alhabib.R ,Khalid . H, and Salama.A.A, the Neutrosophic Treatment of the static model for the inventory management with safety reserve , International Journal of Neutrosophic Science (IJNS), Vol. 18, No. 2, 2022.
[15] New Stuff M, and Khalid . H, Mysterious Neutrosophic linear models , International Journal of Neutrosophic Science (IJNS), Vol.18, No.2, 2022.
[16] A.A. Salama and F. Smarandache. "Neutrosophic crisp probability theory & decision making process." Critical Review: A Publication of Society for Mathematics of Uncertainty, vol. 12, p. 34-48, 2016.
[17] A. A. Salama and F. Smarandache. "Neutrosophic crisp probability theory & decision making process." Critical Review: A Publication of Society for Mathematics of Uncertainty, vol. 12, p. 34-48, 2016
[18] Mohammed Alshikho, Maissam Jdid, Said Broumi, A Study of a Support Vector Machine Algorithm with an Orthogonal Legendre Kernel According to Neutrosophic logic and Inverse Lagrangian Interpolation,Journal of Neutrosophic and Fuzzy Systems(JNFS),Vo .5,No .1, 2023
[19] Mohammed Alshikho, Maissam Jdid, Said Broumi,Artificial Intelligence and Neutrosophic Machine learning in the Diagnosis and Detection of COVID 19, Journal Prospects for Applied Mathematics and Data Analysis ,Vol 1, No,2 ,2023
[20] Maissam Jdid , Rafif Alhabib ,A. A. Salam, The Basics of Neutrosophic Simulation for Converting Random Numbers Associated with a Uniform Probability Distribution into Random Variables Follow an Exponential Distribution ,Journal Neutrosophic Sets and Systems ,NSS,Vol.53,2023
[21] Maissam jdid- Hla Hasan,The state of Risk and Optimum Decision According to Neutrosophic Rules, International ,Journal of Neutrosophic Science (IJNS),Vol. 20, No.1,2023
[22] Maissam Jdid, Khalifa Alshaqsi, Optimal Value of the Service Rate in the Unlimited Model , Journal of Neutrosophic and Fuzzy Systems(JNFS),Vo .6,No .1, 2023
[23] The machine. Ibrahim Muhammad, Operations Research. Tishreen University Publications, 2004. (Arabic version).
[24] Bukajah J.S. - Edward. Mualla, W... and others - Operations Research Book translated into Arabic - The Arab Center for Arabization, Translation, Authoring and Publishing -Damascus -1998. . (Arabic version).
[25] New Stuff M, Alhabib.R and Salama.A.A, fundamentals of Neutrosophical Simulation for Generating Random Numbers Associated with Uniform Probability Distribution, Neutrosophic Sets and Systems, 49, 2022
| Style | # |
|---|---|
| MLA | Maissam Jdid, A. Salama. "Using the Inverse Transformation Method to Generate Random Variables that follow the Neutrosophic Uniform Probability Distribution." Full Length Article, Vol. 6, No. 2, 2023 ,PP. 15-22 (Doi : https://doi.org/10.54216/JNFS.060202) |
| APA | Maissam Jdid, A. Salama. (2023). Using the Inverse Transformation Method to Generate Random Variables that follow the Neutrosophic Uniform Probability Distribution. Journal of Full Length Article, 6 ( 2 ), 15-22 (Doi : https://doi.org/10.54216/JNFS.060202) |
| Chicago | Maissam Jdid, A. Salama. "Using the Inverse Transformation Method to Generate Random Variables that follow the Neutrosophic Uniform Probability Distribution." Journal of Full Length Article, 6 no. 2 (2023): 15-22 (Doi : https://doi.org/10.54216/JNFS.060202) |
| Harvard | Maissam Jdid, A. Salama. (2023). Using the Inverse Transformation Method to Generate Random Variables that follow the Neutrosophic Uniform Probability Distribution. Journal of Full Length Article, 6 ( 2 ), 15-22 (Doi : https://doi.org/10.54216/JNFS.060202) |
| Vancouver | Maissam Jdid, A. Salama. Using the Inverse Transformation Method to Generate Random Variables that follow the Neutrosophic Uniform Probability Distribution. Journal of Full Length Article, (2023); 6 ( 2 ): 15-22 (Doi : https://doi.org/10.54216/JNFS.060202) |
| IEEE | Maissam Jdid, A. Salama, Using the Inverse Transformation Method to Generate Random Variables that follow the Neutrosophic Uniform Probability Distribution, Journal of Full Length Article, Vol. 6 , No. 2 , (2023) : 15-22 (Doi : https://doi.org/10.54216/JNFS.060202) |