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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 23 , Issue 1 , PP: 299-310, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

Neutrosophic parametric study of piecewise quadratic fuzzy multi-objective dynamic programming problems

Hamiden Abd El- Wahed Khalifa 1 * , Faisal Al-Sharqi 2 , Ashraf Al-Quran 3 , Aziza Algarni 4 , Mamika Ujianita Romdhini 5 , Zahari Rodzi 6 , Abdalwali Lutfi 7

  • 1 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 Statistical Research, Cairo University, Giza 12613, Egypt - (Ha.Ahmed@qu.edu.sa)
  • 2 Department of Mathematics, Faculty of Education for Pure Sciences, University Of Anbar, Ramadi, Anbar, Iraq - (faisal.ghazi@uoanbar.edu.iq)
  • 3 Preparatory Year Deanship, King Faisal University, Hofuf, Al-Ahsa, 31982, Saudi Arabia - (aalquran@kfu.edu.sa)
  • 4 Department of Mathematics, Jamoum University College, Umm Al-Qura University, Makkah, Saudi Arabia - (amhalgarni@uqu.edu.sa)
  • 5 Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Mataram, Mataram, 83125, Indonesia - (mamika@unram.ac.id)
  • 6 Department of Accounting, College of Business, King Faisal University, Al-Ahsa 31982, Saudi Arabia 9MEU Research Unit, Middle East University, Amman, Jordan - (zahari@uitm.edu.my)
  • 7 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.230125

    Received: June 12, 2023 Revised: August 23, 2023 Accepted: December 06, 2023
    Abstract

    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 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 pareto optimal solution. For a better understanding and comprehension of the suggested concept, a numerical example is provided.

    Keywords :

    Optimization , Multiobjective dynamic programming , Fuzzy set , Piecewise quadratic fuzzy numbers , Close interval approximation , pareto optimal solution , Decision making , Stability , Neutrosophic numbers , Score function

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    Cite This Article As :
    Abd, Hamiden. , Al-Sharqi, Faisal. , Al-Quran, Ashraf. , Algarni, Aziza. , Ujianita, Mamika. , Rodzi, Zahari. , Lutfi, Abdalwali. Neutrosophic parametric study of piecewise quadratic fuzzy multi-objective dynamic programming problems. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 299-310. DOI: https://doi.org/10.54216/IJNS.230125
    Abd, H. Al-Sharqi, F. Al-Quran, A. Algarni, A. Ujianita, M. Rodzi, Z. Lutfi, A. (2024). Neutrosophic parametric study of piecewise quadratic fuzzy multi-objective dynamic programming problems. International Journal of Neutrosophic Science, (), 299-310. DOI: https://doi.org/10.54216/IJNS.230125
    Abd, Hamiden. Al-Sharqi, Faisal. Al-Quran, Ashraf. Algarni, Aziza. Ujianita, Mamika. Rodzi, Zahari. Lutfi, Abdalwali. Neutrosophic parametric study of piecewise quadratic fuzzy multi-objective dynamic programming problems. International Journal of Neutrosophic Science , no. (2024): 299-310. DOI: https://doi.org/10.54216/IJNS.230125
    Abd, H. , Al-Sharqi, F. , Al-Quran, A. , Algarni, A. , Ujianita, M. , Rodzi, Z. , Lutfi, A. (2024) . Neutrosophic parametric study of piecewise quadratic fuzzy multi-objective dynamic programming problems. International Journal of Neutrosophic Science , () , 299-310 . DOI: https://doi.org/10.54216/IJNS.230125
    Abd H. , Al-Sharqi F. , Al-Quran A. , Algarni A. , Ujianita M. , Rodzi Z. , Lutfi A. [2024]. Neutrosophic parametric study of piecewise quadratic fuzzy multi-objective dynamic programming problems. International Journal of Neutrosophic Science. (): 299-310. DOI: https://doi.org/10.54216/IJNS.230125
    Abd, H. Al-Sharqi, F. Al-Quran, A. Algarni, A. Ujianita, M. Rodzi, Z. Lutfi, A. "Neutrosophic parametric study of piecewise quadratic fuzzy multi-objective dynamic programming problems," International Journal of Neutrosophic Science, vol. , no. , pp. 299-310, 2024. DOI: https://doi.org/10.54216/IJNS.230125

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