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International Journal of Neutrosophic Science
Volume 23 , Issue 1, PP: 287-298 , 2024 | Cite this article as | XML | Html |PDF

Title

Enhancing neutrosophic fuzzy compromise approach for solving stochastic bi- level linear programming problems with right- hand sides of constraints follow normal distribution

  Hamiden Abd El- Wahed Khalifa 1 * ,   Faisal Al-Sharqi 2 ,   Ashraf Al-Quran 3 ,   Zahari Rodzi 4 ,   Heba Ghareb Goma 5 ,   Abdalwali Lutfi 6

1  Department of Mathematics, College of Science and Arts, Qassim University, Al- Badaya 51951, Saudi Arabia; Department of Operations and Management Research, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza 12613, Egypt
    (Ha.Ahmed@qu.edu.sa)

2  Department of Mathematics, Faculty of Education for Pure Sciences, University Of Anbar, Ramadi, Anbar, Iraq
    (faisal.ghazi@uoanbar.edu.iq)

3  Preparatory Year Deanship, King Faisal University, Hofuf, Al-Ahsa, 31982, Saudi Arabia
    (aalquran@kfu.edu.sa)

4  College of Computing, Informatics and Mathematics, UiTM Cawangan Negeri Sembilan, Kampus Seremban, 73000 Negeri Sembilan, Malaysia
    (zahari@uitm.edu.my)

5  Department of Mathematics and Statistics, Institute for Management Information Systems, Suiz, Egypt
    (dr.heba@suezmis.edu.eg)

6  Department of Accounting, College of Business, King Faisal University, Al-Ahsa 31982, Saudi Arabia; MEU Research Unit, Middle East University, Amman, Jordan; Applied Science Research Center, Applied Science Private University, Amman 11931, Jordan
    (aalkhassawneh@kfu.edu.sa)

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Doi   :   https://doi.org/10.54216/IJNS.230120

Received: May 27, 2023 Revised: August 11, 2023 Accepted: November 26, 2023

Abstract :

 In this paper, a bi-level chance constrained programming problem is considered when the coefficients of the objective function is presented as neutrosophic numbers and the right- hand side of the constraints is normal variables and the constraints have a joint probability distribution. While the probability problem and applying the score and accurate functions the problem is converted into an equivalent deterministic non- linear programming problem, a fuzzy programming approach is applied by defining membership function. A linear membership function is used for obtaining optimal compromise solution. A numerical example is given to illustrate the proposed methodology.

Keywords :

Optimization; neutrosophic set; single valued neutrosophic numbers Chance- constrained programming; Bi- level linear programming; Decision Making; Normal distribution; Joint constraints; Incomplete Gamma function;  Membership function; Fuzzy programming approach; Optimal compromise solution

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Cite this Article as :
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MLA Hamiden Abd El- Wahed Khalifa, Faisal Al-Sharqi, Ashraf Al-Quran, Zahari Rodzi, Heba Ghareb Goma, Abdalwali Lutfi. "Enhancing neutrosophic fuzzy compromise approach for solving stochastic bi- level linear programming problems with right- hand sides of constraints follow normal distribution." International Journal of Neutrosophic Science, Vol. 23, No. 1, 2024 ,PP. 287-298 (Doi   :  https://doi.org/10.54216/IJNS.230120)
APA Hamiden Abd El- Wahed Khalifa, Faisal Al-Sharqi, Ashraf Al-Quran, Zahari Rodzi, Heba Ghareb Goma, Abdalwali Lutfi. (2024). Enhancing neutrosophic fuzzy compromise approach for solving stochastic bi- level linear programming problems with right- hand sides of constraints follow normal distribution. Journal of International Journal of Neutrosophic Science, 23 ( 1 ), 287-298 (Doi   :  https://doi.org/10.54216/IJNS.230120)
Chicago Hamiden Abd El- Wahed Khalifa, Faisal Al-Sharqi, Ashraf Al-Quran, Zahari Rodzi, Heba Ghareb Goma, Abdalwali Lutfi. "Enhancing neutrosophic fuzzy compromise approach for solving stochastic bi- level linear programming problems with right- hand sides of constraints follow normal distribution." Journal of International Journal of Neutrosophic Science, 23 no. 1 (2024): 287-298 (Doi   :  https://doi.org/10.54216/IJNS.230120)
Harvard Hamiden Abd El- Wahed Khalifa, Faisal Al-Sharqi, Ashraf Al-Quran, Zahari Rodzi, Heba Ghareb Goma, Abdalwali Lutfi. (2024). Enhancing neutrosophic fuzzy compromise approach for solving stochastic bi- level linear programming problems with right- hand sides of constraints follow normal distribution. Journal of International Journal of Neutrosophic Science, 23 ( 1 ), 287-298 (Doi   :  https://doi.org/10.54216/IJNS.230120)
Vancouver Hamiden Abd El- Wahed Khalifa, Faisal Al-Sharqi, Ashraf Al-Quran, Zahari Rodzi, Heba Ghareb Goma, Abdalwali Lutfi. Enhancing neutrosophic fuzzy compromise approach for solving stochastic bi- level linear programming problems with right- hand sides of constraints follow normal distribution. Journal of International Journal of Neutrosophic Science, (2024); 23 ( 1 ): 287-298 (Doi   :  https://doi.org/10.54216/IJNS.230120)
IEEE Hamiden Abd El- Wahed Khalifa, Faisal Al-Sharqi, Ashraf Al-Quran, Zahari Rodzi, Heba Ghareb Goma, Abdalwali Lutfi, Enhancing neutrosophic fuzzy compromise approach for solving stochastic bi- level linear programming problems with right- hand sides of constraints follow normal distribution, Journal of International Journal of Neutrosophic Science, Vol. 23 , No. 1 , (2024) : 287-298 (Doi   :  https://doi.org/10.54216/IJNS.230120)
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