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)
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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| Style | # |
|---|---|
| MLA | Alhanouf Alburaikan, S. A. Edalatpanah, Rabab Alharbi, Hamiden Abd El-Wahed Khalifa. "Towards neutrosophic Circumstances goal programming approach for solving multi-objective linear fractional programming problems." International Journal of Neutrosophic Science, Vol. 23, No. 1, 2024 ,PP. 350-365 (Doi : https://doi.org/10.54216/IJNS.230130) |
| APA | Alhanouf Alburaikan, S. A. Edalatpanah, Rabab Alharbi, Hamiden Abd El-Wahed Khalifa. (2024). Towards neutrosophic Circumstances goal programming approach for solving multi-objective linear fractional programming problems. Journal of International Journal of Neutrosophic Science, 23 ( 1 ), 350-365 (Doi : https://doi.org/10.54216/IJNS.230130) |
| Chicago | Alhanouf Alburaikan, S. A. Edalatpanah, Rabab Alharbi, Hamiden Abd El-Wahed Khalifa. "Towards neutrosophic Circumstances goal programming approach for solving multi-objective linear fractional programming problems." Journal of International Journal of Neutrosophic Science, 23 no. 1 (2024): 350-365 (Doi : https://doi.org/10.54216/IJNS.230130) |
| Harvard | Alhanouf Alburaikan, S. A. Edalatpanah, Rabab Alharbi, Hamiden Abd El-Wahed Khalifa. (2024). Towards neutrosophic Circumstances goal programming approach for solving multi-objective linear fractional programming problems. Journal of International Journal of Neutrosophic Science, 23 ( 1 ), 350-365 (Doi : https://doi.org/10.54216/IJNS.230130) |
| Vancouver | Alhanouf Alburaikan, S. A. Edalatpanah, Rabab Alharbi, Hamiden Abd El-Wahed Khalifa. Towards neutrosophic Circumstances goal programming approach for solving multi-objective linear fractional programming problems. Journal of International Journal of Neutrosophic Science, (2024); 23 ( 1 ): 350-365 (Doi : https://doi.org/10.54216/IJNS.230130) |
| IEEE | Alhanouf Alburaikan, S. A. Edalatpanah, Rabab Alharbi, Hamiden Abd El-Wahed Khalifa, Towards neutrosophic Circumstances goal programming approach for solving multi-objective linear fractional programming problems, Journal of International Journal of Neutrosophic Science, Vol. 23 , No. 1 , (2024) : 350-365 (Doi : https://doi.org/10.54216/IJNS.230130) |