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Title

On Overview of Neutrosophic and Plithogenic Theories and Applications

  Florentin Smarandache 1 * ,   Maissam Jdid 2

1  University of New Mexico ,Mathematics, Physics and Natural Sciences Division 705 Gurley Ave., Gallup, NM 87301, USA
    (smarand@unm.edu)

2  Faculty of Informatics Engineering, Al-Sham Private University, Damascus, Syria
    (m.j.foit@aspu.edu.sy)

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Doi   :   https://doi.org/10.54216/PAMDA.020102

Received: August 18, 2022 Accepted: February 19, 2023

Abstract :

We present this research to all researchers and scholars who have realized the existence of indeterminacy in all data, through the results they obtain and the values that are not accurate enough and that may cause loss to the systems and facilities under study, and we will present through it the emergence, foundations and development of Neutrosophic theories and their applications for more than two decades (1995- 2023) since it was defined and studied, along with its applications, in order to be able to present new studies and research that keep pace with the great scientific development that our contemporary world is witnessing, through the use of research that has been published by the professionals and found on the attached open links.

Keywords :

Neutrosophic; origin of the word Neutrosophic; stages of development of neutrosophic science; applications of neutrosophic science; research in neutrosophic science; neutrosophic journals

References :

[1] Smarandache, F., & Mathematics, P. , Indeterminacy in Neutrosophic Theories and their Applications.International Journal of Neutrosophic Science. (2021). https://doi.org/10.54216/ijns.150203

[2] Smarandache, F. Neutrosophic Set is a Generalization of Intuitionistic Fuzzy Set, Inconsistent Intuitionistic Fuzzy Set (Picture Fuzzy Set, Ternary Fuzzy Set), Pythagorean Fuzzy Set, q-Rung Orthopair Fuzzy Set, Spherical Fuzzy Set, and n-HyperSpherical Fuzzy Set, while Neutrosophication is a Generalization of Regret Theory, Grey System Theory, and Three-Ways Decision (revisited). Journal of New Theory. (2019). https://digitalrepository.unm.edu/cgi/viewcontent.cgi?article=1020&context=math_fsp

[3] Smarandache, F. A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability (fourth edition): Neutrsophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability (fourth Edition). Infinite Study. (2005).

[4] Smarandache, F. Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability (fourth edition): A UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEUTROSOPHY, NEUTROSOPHIC SET, NEUTROSOPHIC PROBABILITY AND STATISTICS (Sixth). InfoLearn Quest. http://fs.unm.edu/eBook-Neutrosophics6.pdf ,(2007).

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[6] Smarandache, F. geometric interpretation of the neutrosophic set — A generalization of the intuitionistic fuzzy set. (2004). https://doi.org/10.1109/grc.2011.6122665

[7] Smarandache, F. Neutrosophic Logic - a Generalization of the Intuitionistic Fuzzy Logic. Social Science Research Network. (2016). https://doi.org/10.2139/ssrn.2721

[8] Smarandache, F ,Neutrosophy. ResearchGate. . (2000). https://www.researchgate.net/publication/2097018_Neutrosophy

[9] Paradoxism, the last vanguard of the second milenium. (n.d.). http://fs.unm.edu/a/paradoxism.htm

[10] Smarandache, F. Neutrosophy, A New Branch of Philosophy. Multiple Valued Logic / an International Journal, 8(3), (2002). 297.https://digitalrepository.unm.edu/cgi/viewcontent.cgi?article=1031&context=math_fsp

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[16] Maissam jdid, Raffif Alhabib, and AA Salama

[17] Fundamentals of Neutrosophical Simulation for Generating Random Numbers Associated with Uniform Probability Distribution , Neutrosophic sets and Systems , Vol 49,2022

[18] Maissam Jdid, Huda E Khalid

[19] An Investigation in the Initial Solution for Neutrosophic Transportation Problems (NTP),Neutrosophic sets and Systems NSS , Vol.50,2022

[20] Maissam Jdid , Huda E. Khalid , Neutrosophic Mathematical formulas of Transportation Problems , Neutrosophic sets and Systems ,NSS , Vol .51,2022

[21] 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

[22] International Journal of Neutrosophic Science (IJNS), http://americaspg.com/journals/show/21

[23] Maissam jdid, Raffif Alhabib, and AA Salama , The static model of inventory management without a deficit with Neutrosophic logic,International Journal of Neutrosophic Science, Vol. 16, 2021

[24] Maissam Jdid, AA Salama, Huda E Khalid , Neutrosophic Handling of the Simplex Direct Algorithm to Define the Optimal Solution in Linear Programming ,International Journal of Neutrosophic Science, Vol.18,No. 1, 2022

[25] Maissam Ahmed Jdid _A. A. Salama _Rafif Alhabib _Huda E. Khalid_Fatima Suliman

[26] Neutrosophic Treatment of the Static Model of Inventory Management with Deficit, International Journal of Neutrosophic Science, Vol.18,No. 1, 2022

[27] Maissam Jdid, Huda E Khalid

[28] Mysterious Neutrosophic Linear Models,International Journal of Neutrosophic Science, Vol.18,No. 2, 2022

[29] Maissam Jdid, Rafif Alhabib, Neutrosophical dynamic programming ,International Journal of Neutrosophic Science, Vol .18,No.3, 2022

[30] Maissam Jdid ,Basel Shahin, Fatima Suliman, Important Neutrosophic Rules for Decision – Making in Case of Uncertain Data,International Journal of Neutrosophic Science, Vol .18,No.3, 2022

[31] Maissam Jdid , Rafif Alhabib , Ossama Bahbouh , A. A. Salama , Huda E. Khalid, The Neutrosophic Treatment for Multiple Storage Problem of Finite Materials and Volumes, International Journal of Neutrosophic Science (IJNS) Vol. 18, No. 1, 2022

[32] Maissam Jdid , Rafif Alhabib , Huda E. Khalid , A. A. Salama, 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

[33] 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

[34] 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

[35] Maissam Jdid, Khalifa Alshaqsi, Optimal Value of the Service Rate in the Unlimited Model M\M\1, Journal of Neutrosophic and Fuzzy Systems(JNFS),Vo .6,No .1, 2023

[36] Maissam Jdid ,A. A. Salam , Using the Inverse Transformation Method to Generate Random Variables that follow the Neutrosophic Uniform Probability Distribution. Journal of Neutrosophic and Fuzzy Systems(JNFS),Vo .6,No .2, 2023

[37] 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 01, No,02 USA,2023

[38] Maissam Jdid ,A. A. Salam, Using the Inverse Transformation Method to Generate Random Variables that follow the Neutrosophic Uniform Probability Distribution. Journal of Neutrosophic and Fuzzy Systems(JNFS),Vo .6,No .2, 2023

[39] Smarandache, F , University of New Mexico, EncyclopediaNeutrosophicResearchers.Vol.1, 2016,http://fs.unm.edu/EncyclopediaNeutrosophicResearchers.pdf

[40] Smarandache, F , University of New Mexico ,EncyclopediaNeutrosophicResearchers.Vol.2, 2018, http://fs.unm.edu/EncyclopediaNeutrosophicResearchers2.pdf

[41] Smarandache, F , University of New Mexico ,EncyclopediaNeutrosophicResearchers.Vol.3 ,2019, http://fs.unm.edu/EncyclopediaNeutrosophicResearchers3.pdf

[42] Smarandache, F , University of New Mexico ,EncyclopediaNeutrosophicResearchers.Vol.4 ,2021, http://fs.unm.edu/EncyclopediaNeutrosophicResearchers4.pdf

Cite this Article as :
Style #
MLA Florentin Smarandache, Maissam Jdid. "On Overview of Neutrosophic and Plithogenic Theories and Applications." Prospects for Applied Mathematics and Data Analysis, Vol. 2, No. 1, 2023 ,PP. 19-26 (Doi   :  https://doi.org/10.54216/PAMDA.020102)
APA Florentin Smarandache, Maissam Jdid. (2023). On Overview of Neutrosophic and Plithogenic Theories and Applications. Journal of Prospects for Applied Mathematics and Data Analysis, 2 ( 1 ), 19-26 (Doi   :  https://doi.org/10.54216/PAMDA.020102)
Chicago Florentin Smarandache, Maissam Jdid. "On Overview of Neutrosophic and Plithogenic Theories and Applications." Journal of Prospects for Applied Mathematics and Data Analysis, 2 no. 1 (2023): 19-26 (Doi   :  https://doi.org/10.54216/PAMDA.020102)
Harvard Florentin Smarandache, Maissam Jdid. (2023). On Overview of Neutrosophic and Plithogenic Theories and Applications. Journal of Prospects for Applied Mathematics and Data Analysis, 2 ( 1 ), 19-26 (Doi   :  https://doi.org/10.54216/PAMDA.020102)
Vancouver Florentin Smarandache, Maissam Jdid. On Overview of Neutrosophic and Plithogenic Theories and Applications. Journal of Prospects for Applied Mathematics and Data Analysis, (2023); 2 ( 1 ): 19-26 (Doi   :  https://doi.org/10.54216/PAMDA.020102)
IEEE Florentin Smarandache, Maissam Jdid, On Overview of Neutrosophic and Plithogenic Theories and Applications, Journal of Prospects for Applied Mathematics and Data Analysis, Vol. 2 , No. 1 , (2023) : 19-26 (Doi   :  https://doi.org/10.54216/PAMDA.020102)
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