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Prospects for Applied Mathematics and Data Analysis
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Title

A Study of the Movement of a Neutrosophic Material Point in the Neutrosophic Plane by Using a Neutrosophic AH-Isometry

  Mountajab Alhasan 1 * ,   Malath F Alaswad 2

1  Departement of Mathematics, Albaath University,Homs, Syria
    (alhasanmountajab@gmail.com)

2  Departement of Mathematics, Albaath University,Homs, Syria
    (Malaz.Aswad@yahoo.com)


Doi   :   https://doi.org/10.54216/PAMDA.020101

Received: August 15, 2022 Accepted: February 15, 2023

Abstract :

This articles presents a new concept in mathematics according to a neutrosophic logic, which is the first of its kind in applied mathematics, which is the concept of the movement of a neutrosophic point in the neutrosophic plane and determining the path of this point, after determining Cartesian and polar neutrosophic coordinates of this point and also defining the neutrosophic local, velocity and acceleration vectors of these point. We have also determined the relationsships between the motion of a neutrosophic point and its equivalent in the classical plane, through an AH-isometry that connects the neutrosophic and classical plane. We conducted the previous study on three different examples, each example differs from the other in the form of a path and type of movement of the studied point.

Keywords :

 Neutrosophic real number; neutrosophic Cartesian coordinate; neutrosophic velocity vector; neutrosophic acceleration vrctor; neutrosophic path point.

References :

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[2]  F .Smarandache. “Finite Neutrosophic Complex Numbers, by W. B. Vasantha Kandasamy”. Zip pubulsher, Columbus, Ohio, USA, PP1-16, 2011.

[3]  Y. Alhasan., "Concepts of Neutrosophic Complex Numbers", International Journal of Neutrosophic Science, Vol.8, 9-18, 2020.

[4]  R. Alhamido, M.Ismail, F .Smarandache; "The Polar form of a Neutrosophic Complex Number", International Journal of Neutrosophic Science, Vol.10, 36 -44, 2020.

[5]   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, (2018).

[6]  F. smarandache. "Neutrosophy and Neutrosophic Logic, First International Conference on Neutrosophy, neutrosophic Logic, Set, Probability, and Statistics", University of New Mexico, Gallup, NM87301, USA 2002.

[7]   M. Abdel-Basset; E. Mai. 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).

[8]  M. Abdel-Basset; E. Mohamed; G. Abdullah; and S. Florentin. "A novel model for evaluation Hospital medical care systems based on plithogenic sets", Artificial Intelligence in Medicine 100 (2019), 101710.

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[11]  A. A Salama. "Basic Structure of Some Classes of Neutrosophic Crisp Nearly Open Sets and Possible Application to GIS Topology". Neutrosophic Sets and Systems, Vol. 7, 18-22, (2015).

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[13]  F. Smarandache, "The Neutrosophic Triplet Group and its Application to physics", Seminar Universidad National de Quilmes, Department of science and Technology, Beunos Aires, Argentina, 20 June 2014. 

[14]  A. B.AL-Nafee; R.K. Al-Hamido; F.Smarandache. "Separation Axioms In Neutrosophic Crisp Topological Spaces", Neutrosophic Sets and Systems, vol. 25, 25-32, (2019).


Cite this Article as :
Style #
MLA Mountajab Alhasan, Malath F Alaswad. "A Study of the Movement of a Neutrosophic Material Point in the Neutrosophic Plane by Using a Neutrosophic AH-Isometry." Prospects for Applied Mathematics and Data Analysis, Vol. 2, No. 1, 2023 ,PP. 08-18 (Doi   :  https://doi.org/10.54216/PAMDA.020101)
APA Mountajab Alhasan, Malath F Alaswad. (2023). A Study of the Movement of a Neutrosophic Material Point in the Neutrosophic Plane by Using a Neutrosophic AH-Isometry. Journal of Prospects for Applied Mathematics and Data Analysis, 2 ( 1 ), 08-18 (Doi   :  https://doi.org/10.54216/PAMDA.020101)
Chicago Mountajab Alhasan, Malath F Alaswad. "A Study of the Movement of a Neutrosophic Material Point in the Neutrosophic Plane by Using a Neutrosophic AH-Isometry." Journal of Prospects for Applied Mathematics and Data Analysis, 2 no. 1 (2023): 08-18 (Doi   :  https://doi.org/10.54216/PAMDA.020101)
Harvard Mountajab Alhasan, Malath F Alaswad. (2023). A Study of the Movement of a Neutrosophic Material Point in the Neutrosophic Plane by Using a Neutrosophic AH-Isometry. Journal of Prospects for Applied Mathematics and Data Analysis, 2 ( 1 ), 08-18 (Doi   :  https://doi.org/10.54216/PAMDA.020101)
Vancouver Mountajab Alhasan, Malath F Alaswad. A Study of the Movement of a Neutrosophic Material Point in the Neutrosophic Plane by Using a Neutrosophic AH-Isometry. Journal of Prospects for Applied Mathematics and Data Analysis, (2023); 2 ( 1 ): 08-18 (Doi   :  https://doi.org/10.54216/PAMDA.020101)
IEEE Mountajab Alhasan, Malath F Alaswad, A Study of the Movement of a Neutrosophic Material Point in the Neutrosophic Plane by Using a Neutrosophic AH-Isometry, Journal of Prospects for Applied Mathematics and Data Analysis, Vol. 2 , No. 1 , (2023) : 08-18 (Doi   :  https://doi.org/10.54216/PAMDA.020101)