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International Journal of Neutrosophic Science
Volume 20 , Issue 3, PP: 45-64 , 2023 | Cite this article as | XML | Html |PDF

Title

The Integration of Rational and Irrational Neutrosophic Functions

  Yaser A. Alhasan 1 * ,   Iqbal A. Musa 2 ,   Eman A. Abdelgawad 3 ,   Suliman Sheen 4

1  Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia
    (y.alhasan@psau.edu.sa)

2  Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia
    (i.abdulah@psau.edu.sa)

3  Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia
    (e.abdelwahab@psau.edu.sa)

4  Deanship of the Preparatory Year, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia
    (S.almleh@psau.edu.sa)


Doi   :   https://doi.org/10.54216/IJNS.200305

Received: October 23, 2022 Accepted: March 04, 2023

Abstract :

The purpose of this article is to study the integration of rational and irrational neutrosophic functions, where integration of standard rational neutrosophic functions discussed through three cases, in addition, integration of standard irrational neutrosophic functions were introduced through seven cases.

Keywords :

neutrosophic proper rational function; neutrosophic integrals; improper rational functions.

References :

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[2]  F.Smarandache  "Finite  Neutrosophic  Complex  Numbers,  by  W.  B.  Vasantha  Kandasamy",  Zip  Publisher, Columbus, Ohio, USA, PP:1-16, 2011.

[3]  F.Smarandache, "Neutrosophy. / Neutrosophic Probability, Set, and Logic", American Research Press, Rehoboth, USA, 1998.

[4]  F.Smarandache, "Introduction to Neutrosophic statistics", Sitech-Education Publisher, PP:34-44, 2014.

[5]  F.Smarandache, "A Unifying Field in Logics: Neutrosophic Logic, Preface by Charles Le, American Research Press,  Rehoboth,  1999,  2000.  Second  edition  of  the  Proceedings  of  the  First  International  Conference  on Neutrosophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Probability and Statistics", University of New Mexico, Gallup, 2001. 

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[8]  Madeleine Al- Tahan, "Some Results on Single Valued Neutrosophic (Weak) Polygroups", International Journal of Neutrosophic Science, Volume 2 , Issue 1, PP: 38-46 , 2020.

[9]  Y.Alhasan, "The neutrosophic integrals and integration methods", Neutrosophic Sets and Systems, Vo lume 49, pp. 357-374, 2022.

[10]  A. Chakraborty, "A New Score Function of Pentagonal Neutrosophic Number and its Application in Networking Problem", International Journal of Neutrosophic Science, Volume 1 , Issue 1, PP: 40-51 , 2020

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[12]  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.

[13]  Y.Alhasan,  "The  General  Exponential  form  of  a  Neutrosophic  Complex  Number",  International  Journal  of Neutrosophic Science, Volume 11, Issue 2, pp. 100-107, 2020.

[14]  Abdel-Basset, M., "An approach of TOPSIS technique for developing supplier selection with group decision making under type-2 neutrosophic number", Applied Soft Computing, pp.438-452, 2019.

[15]   M.Abdel-Baset, V.Chang, A.Gamal, F.Smarandache, "An integrated neutrosophic ANP and VIKOR method for achieving sustainable supplier selection: A case study in importing field", Comput. Ind, pp.94 –110, 2019. 

[16]  M.Abdel-Basst, R.Mohamed, M.Elhoseny, "<? covid19?> A model for the effective COVID-19 identification inuncertainty environment using primary symptoms and CT scans." Health Informatics Journal, 2020.

[17]  M.Abdel-Basset, A.Gamal, L.H.Son, F.Smarandache, “A Bipolar Neutrosophic Multi Criteria Decision Making Framework for Professional Selection”. Applied Sciences, 2020.

[18]  M.Abobala, "On Some Special Substructures of Neutrosophic Rings and Their Properties", International Journal of Neutrosophic Science, Vol 4, pp72-81, 2020.

[19]  A.Hatip, M. Abobala, "AH-Substructures In Strong Refined Neutrosophic Modules",  International Journal of Neutrosophic Science, Vol. 9, pp. 110-116, 2020.

[20]  Y.Alhasan, "The neutrosophic integrals and integration methods", Neutrosophic Sets and Systems, Volume 43, pp. 290-301, 2021.


Cite this Article as :
Style #
MLA Yaser A. Alhasan, Iqbal A. Musa, Eman A. Abdelgawad, Suliman Sheen. "The Integration of Rational and Irrational Neutrosophic Functions." International Journal of Neutrosophic Science, Vol. 20, No. 3, 2023 ,PP. 45-64 (Doi   :  https://doi.org/10.54216/IJNS.200305)
APA Yaser A. Alhasan, Iqbal A. Musa, Eman A. Abdelgawad, Suliman Sheen. (2023). The Integration of Rational and Irrational Neutrosophic Functions. Journal of International Journal of Neutrosophic Science, 20 ( 3 ), 45-64 (Doi   :  https://doi.org/10.54216/IJNS.200305)
Chicago Yaser A. Alhasan, Iqbal A. Musa, Eman A. Abdelgawad, Suliman Sheen. "The Integration of Rational and Irrational Neutrosophic Functions." Journal of International Journal of Neutrosophic Science, 20 no. 3 (2023): 45-64 (Doi   :  https://doi.org/10.54216/IJNS.200305)
Harvard Yaser A. Alhasan, Iqbal A. Musa, Eman A. Abdelgawad, Suliman Sheen. (2023). The Integration of Rational and Irrational Neutrosophic Functions. Journal of International Journal of Neutrosophic Science, 20 ( 3 ), 45-64 (Doi   :  https://doi.org/10.54216/IJNS.200305)
Vancouver Yaser A. Alhasan, Iqbal A. Musa, Eman A. Abdelgawad, Suliman Sheen. The Integration of Rational and Irrational Neutrosophic Functions. Journal of International Journal of Neutrosophic Science, (2023); 20 ( 3 ): 45-64 (Doi   :  https://doi.org/10.54216/IJNS.200305)
IEEE Yaser A. Alhasan, Iqbal A. Musa, Eman A. Abdelgawad, Suliman Sheen, The Integration of Rational and Irrational Neutrosophic Functions, Journal of International Journal of Neutrosophic Science, Vol. 20 , No. 3 , (2023) : 45-64 (Doi   :  https://doi.org/10.54216/IJNS.200305)