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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 23 , Issue 1 , PP: 350-365, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

Towards neutrosophic Circumstances goal programming approach for solving multi-objective linear fractional programming problems

Alhanouf Alburaikan 1 * , S. A. Edalatpanah 2 , Rabab Alharbi 3 , Hamiden Abd El-Wahed Khalifa 4

  • 1 Department of Mathematics, College of Science and Arts, Qassim University, Al- Badaya, 51951, Saudi Arabia - (a.albrikan@qu.edu.sa)
  • 2 Department of Applied Mathematics, Ayandegan Institute of Higher Education, Tonekabon, Iran - (Saedalatpanah@gmail.com)
  • 3 Department of Mathematics, College of Science and Arts, Qassim University, Ar Rass51452, Saudi Arabia - (ras.Alharbi@qu.edu.sa)
  • 4 Department of Operations Research, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza,12613, Egypt; Department of Mathematics, College of Science and Arts, Qassim University, Al- Badaya, 51951, Saudi Arabia - (hamiden@cu.edu.eg)

    • Doi: https://doi.org/10.54216/IJNS.230130

    Received: May 24, 2023 Revised: August 17, 2023 Accepted: December 17, 2023
    Abstract

    Indeterminacy is common in practical decision-making circumstances. So the mathematical models of decision making represent the situations in a better way if the parameters are considered as neutrosophic.  This article studies a general framework of multi-objective neutrosophic linear fractional programming problem (MONLFPP) and proposes unique approach. The issue's parameters are thought of as triangular neutrosophic numbers. The problem is converted into an equal crisp multi-objective linear programming problem (MOLPP) with the help of variable transformation technique and a ranking function.  Fuzzy goal programming is used to solve the MOLPP that has been obtained. Finally, the usefulness of the proposed technique is established using two mathematical models.

    Keywords :

    Optimization , Neutrosophic set , Triangular neutrosophic number , Score function , multi-objective linear fractional programming problem , fuzzy goal programming , Decision making

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    Cite This Article As :
    Alburaikan, Alhanouf. , A., S.. , Alharbi, Rabab. , Abd, Hamiden. Towards neutrosophic Circumstances goal programming approach for solving multi-objective linear fractional programming problems. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 350-365. DOI: https://doi.org/10.54216/IJNS.230130
    Alburaikan, A. A., S. Alharbi, R. Abd, H. (2024). Towards neutrosophic Circumstances goal programming approach for solving multi-objective linear fractional programming problems. International Journal of Neutrosophic Science, (), 350-365. DOI: https://doi.org/10.54216/IJNS.230130
    Alburaikan, Alhanouf. A., S.. Alharbi, Rabab. Abd, Hamiden. Towards neutrosophic Circumstances goal programming approach for solving multi-objective linear fractional programming problems. International Journal of Neutrosophic Science , no. (2024): 350-365. DOI: https://doi.org/10.54216/IJNS.230130
    Alburaikan, A. , A., S. , Alharbi, R. , Abd, H. (2024) . Towards neutrosophic Circumstances goal programming approach for solving multi-objective linear fractional programming problems. International Journal of Neutrosophic Science , () , 350-365 . DOI: https://doi.org/10.54216/IJNS.230130
    Alburaikan A. , A. S. , Alharbi R. , Abd H. [2024]. Towards neutrosophic Circumstances goal programming approach for solving multi-objective linear fractional programming problems. International Journal of Neutrosophic Science. (): 350-365. DOI: https://doi.org/10.54216/IJNS.230130
    Alburaikan, A. A., S. Alharbi, R. Abd, H. "Towards neutrosophic Circumstances goal programming approach for solving multi-objective linear fractional programming problems," International Journal of Neutrosophic Science, vol. , no. , pp. 350-365, 2024. DOI: https://doi.org/10.54216/IJNS.230130

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