aspg-21-2294-1791475956 20261008161236 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2024 23 1 Hamiden Abd El- Wahed Khalifa 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 St Faisal Al-Sharqi Department of Mathematics, Faculty of Education for Pure Sciences, University Of Anbar, Ramadi, Anbar, Iraq Ashraf Al-Quran Preparatory Year Deanship, King Faisal University, Hofuf, Al-Ahsa, 31982, Saudi Arabia Aziza Algarni Department of Mathematics, Jamoum University College, Umm Al-Qura University, Makkah, Saudi Arabia Mamika Ujianita Romdhini Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Mataram, Mataram, 83125, Indonesia Zahari Rodzi Department of Accounting, College of Business, King Faisal University, Al-Ahsa 31982, Saudi Arabia 9MEU Research Unit, Middle East University, Amman, Jordan Abdalwali Lutfi 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, The goal of this research is to investigate fuzzy multiobjective dynamic programming issues with fuzzy parameters in the objective functions and single valued trapezoidal neutrosophic numbers in the left hand side of the constraints. Piecewise quadratic fuzzy numbers characterize these fuzzy parameters. In addition, applying the score function of the neutrosophic numbers to convert the constraints parameters into its crisp . Some basic notions in the problem under the style='mso-bidi-font-style:normal'> mso-bidi-font-family:"Times New Roman";mso-bidi-theme-font:major-bidi; color:black;mso-themecolor:text1;mso-bidi-language:AR-EG'>α- pareto optimal solution concept is redefined and analyzed to study the stability of the problem. Furthermore, a technique is presented for obtaining a subset of the parametric space that has the same style='mso-bidi-font-style:normal'> mso-bidi-font-family:"Times New Roman";mso-bidi-theme-font:major-bidi; color:black;mso-themecolor:text1;mso-bidi-language:AR-EG'>α- pareto optimal solution. For a better understanding and comprehension of the suggested concept, a numerical example is provided. 2024 299 310 2294 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.230125 https://www.americaspg.com/journal/21/article/2294 https://www.americaspg.com/storage/11702135593.pdf