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International Journal of Neutrosophic Science

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Online: 2690-6805 Print: 2692-6148
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Continuous publication

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Open access · Articles freely available online · APC applies after acceptance

International Journal of Neutrosophic Science
Full Length Article

Volume 23Issue 1PP: 350-365 • 2024

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
1Department of Mathematics, College of Science and Arts, Qassim University, Al- Badaya, 51951, Saudi Arabia
2Department of Applied Mathematics, Ayandegan Institute of Higher Education, Tonekabon, Iran
3Department of Mathematics, College of Science and Arts, Qassim University, Ar Rass51452, Saudi Arabia
4Department of Operations Research, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza,12613, Egypt; Department of Mathematics, College of Science and Arts, Qassim Un
* Corresponding Author.
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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Alburaikan, Alhanouf, Edalatpanah, S. A., Alharbi, Rabab, Khalifa, Hamiden Abd El-Wahed. "Towards neutrosophic Circumstances goal programming approach for solving multi-objective linear fractional programming problems." International Journal of Neutrosophic Science, vol. Volume 23, no. Issue 1, 2024, pp. 350-365. DOI: https://doi.org/10.54216/IJNS.230130
Alburaikan, A., Edalatpanah, S., Alharbi, R., Khalifa, H. (2024). Towards neutrosophic Circumstances goal programming approach for solving multi-objective linear fractional programming problems. International Journal of Neutrosophic Science, Volume 23(Issue 1), 350-365. DOI: https://doi.org/10.54216/IJNS.230130
Alburaikan, Alhanouf, Edalatpanah, S. A., Alharbi, Rabab, Khalifa, Hamiden Abd El-Wahed. "Towards neutrosophic Circumstances goal programming approach for solving multi-objective linear fractional programming problems." International Journal of Neutrosophic Science Volume 23, no. Issue 1 (2024): 350-365. DOI: https://doi.org/10.54216/IJNS.230130
Alburaikan, A., Edalatpanah, S., Alharbi, R., Khalifa, H. (2024) 'Towards neutrosophic Circumstances goal programming approach for solving multi-objective linear fractional programming problems', International Journal of Neutrosophic Science, Volume 23(Issue 1), pp. 350-365. DOI: https://doi.org/10.54216/IJNS.230130
Alburaikan A, Edalatpanah S, Alharbi R, Khalifa H. Towards neutrosophic Circumstances goal programming approach for solving multi-objective linear fractional programming problems. International Journal of Neutrosophic Science. 2024;Volume 23(Issue 1):350-365. DOI: https://doi.org/10.54216/IJNS.230130
A. Alburaikan, S. Edalatpanah, R. Alharbi, H. Khalifa, "Towards neutrosophic Circumstances goal programming approach for solving multi-objective linear fractional programming problems," International Journal of Neutrosophic Science, vol. Volume 23, no. Issue 1, pp. 350-365, 2024. DOI: https://doi.org/10.54216/IJNS.230130
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