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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 23 , Issue 1 , PP: 312-322, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

Enhancing neutrosophic fuzzy goal programming approach for solving multi-objective probabilistic linear programming problems

S. A. Edalatpanah 1 * , Hamiden Abd El- Wahed Khalifa 2 , Ashraf Al-Quran 3 , Faisal Al-Sharqi 4 , Zahari Rodzi 5 , Abdalwali Lutfi 6

  • 1 Department of Applied Mathematics, Ayandegan Institute of Higher Education, Tonekabon, Iran - (Saedalatpanah@gmail.com)
  • 2 Department of Mathematics, College of Science and Arts, Al- Badaya 51951, Qassim University, Saudi Arabia; Department of Operations Research, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza - (Ha.Ahmed@qu.edu.sa)
  • 3 Preparatory Year Deanship, King Faisal University, Hofuf, Al-Ahsa, 31982, Saudi Arabia - (aalquran@kfu.edu.sa)
  • 4 Department of Mathematics, Faculty of Education for Pure Sciences, University Of Anbar, Ramadi, Anbar, Iraq - (faisal.ghazi@uoanbar.edu.iq)
  • 5 College of Computing, Informatics and Mathematics, UiTM Cawangan Negeri Sembilan, KampusSeremban, 70300 Negeri Sembilan, Malaysia - (zahari@uitm.edu.my)
  • 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)

    • Doi: https://doi.org/10.54216/IJNS.230126

    Received: June 16, 2023 Revised: August 21, 2023 Accepted: December 03, 2023
    Abstract

    This article considers a stochastic multi-objective linear programming problem in a neutrosophic framework. The right-hand sides of the constraints are random variables associated with their means and variances, and the single-valued trapezoidal neutrosophic numbers are included in the coefficients of the objective functions to investigate the problem. The problem is successfully converted into the related deterministic programming model based on the formulation of the scoring function and several distributions, such as the Uniform, Exponential, and Gama distributions. Applying fuzzy goal programming, the deterministic problem is solved. An example is then solved to demonstrate the solution methodology.

    Keywords :

    Optimization , Optimization problems , Multi-objective stochastic linear programming , Neutrosophic numbers , Exponential distribution , Uniform distribution , Gama Distribution , Fuzzy programming , Optimal compromise solution , Optimization Problems , Decision Making , Goal programming , Lingo computer package.

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    Cite This Article As :
    A., S.. , Abd, Hamiden. , Al-Quran, Ashraf. , Al-Sharqi, Faisal. , Rodzi, Zahari. , Lutfi, Abdalwali. Enhancing neutrosophic fuzzy goal programming approach for solving multi-objective probabilistic linear programming problems. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 312-322. DOI: https://doi.org/10.54216/IJNS.230126
    A., S. Abd, H. Al-Quran, A. Al-Sharqi, F. Rodzi, Z. Lutfi, A. (2024). Enhancing neutrosophic fuzzy goal programming approach for solving multi-objective probabilistic linear programming problems. International Journal of Neutrosophic Science, (), 312-322. DOI: https://doi.org/10.54216/IJNS.230126
    A., S.. Abd, Hamiden. Al-Quran, Ashraf. Al-Sharqi, Faisal. Rodzi, Zahari. Lutfi, Abdalwali. Enhancing neutrosophic fuzzy goal programming approach for solving multi-objective probabilistic linear programming problems. International Journal of Neutrosophic Science , no. (2024): 312-322. DOI: https://doi.org/10.54216/IJNS.230126
    A., S. , Abd, H. , Al-Quran, A. , Al-Sharqi, F. , Rodzi, Z. , Lutfi, A. (2024) . Enhancing neutrosophic fuzzy goal programming approach for solving multi-objective probabilistic linear programming problems. International Journal of Neutrosophic Science , () , 312-322 . DOI: https://doi.org/10.54216/IJNS.230126
    A. S. , Abd H. , Al-Quran A. , Al-Sharqi F. , Rodzi Z. , Lutfi A. [2024]. Enhancing neutrosophic fuzzy goal programming approach for solving multi-objective probabilistic linear programming problems. International Journal of Neutrosophic Science. (): 312-322. DOI: https://doi.org/10.54216/IJNS.230126
    A., S. Abd, H. Al-Quran, A. Al-Sharqi, F. Rodzi, Z. Lutfi, A. "Enhancing neutrosophic fuzzy goal programming approach for solving multi-objective probabilistic linear programming problems," International Journal of Neutrosophic Science, vol. , no. , pp. 312-322, 2024. DOI: https://doi.org/10.54216/IJNS.230126

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