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Neutrosophic compromise programming approach for multiobjective nonlinear transportation problem with supply and demand following the exponential distribution

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Decision-making is a tedious and complex process. In the present competitive scenario, any incorrect decision may excessively harm an organization. Therefore, the parameters involved in the decision-making process should be looked into carefully as they may not always be of a deterministic nature. In the present study, a multiobjective nonlinear transportation problem is formulated, wherein the parameters involved in the objective functions are assumed to be fuzzy and both supply and demand are stochastic. Supply and demand are assumed to follow the exponential distribution. After converting the problem into an equivalent deterministic form, the multiobjective problem is solved using a neutrosophic compromise programming approach. A comparative study indicates that the proposed approach provides the best compromise solution, which is significantly better than the one obtained using the fuzzy programming approach.
Rocznik
Strony
1--15
Opis fizyczny
Bibliogr. 34 poz.
Twórcy
  • Department of Statistics and Operations Research, Aligarh Muslim Universty, Aligarh, India
autor
  • Department of Statistics and Operations Research, Aligarh Muslim Universty, Aligarh, India
autor
  • Department of Statistics and Operations Research, Aligarh Muslim Universty, Aligarh, India
Bibliografia
  • [1] Adhami, A. Y., and Ahmad, F. Interactive pythagorean-hesitant fuzzy computational algorithm for multiobjective transportation problem under uncertainty. International Journal of Management Science and Engineering Management 15, 4 (2020), 288–297.
  • [2] Ahmad, F., and Adhami, A. Y. Neutrosophic programming approach to multiobjective nonlinear transportation problem with fuzzy parameters. International journal of management science and engineering management 14, 3 (2019), 218–229.
  • [3] Ahmad, F., and Adhami, A. Y. Total cost measures with probabilistic cost function under varying supply and demand in transportation problem. Opsearch 56, 2 (2019), 583–602.
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  • [8] Biswas, A., Shaikh, A. A., and Niaki, S. T. A. Multi-objective non-linear fixed charge transportation problem with multiple modes of transportation in crisp and interval environments. Applied Soft Computing 80 (2019), 628–649.
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  • [10] Chhibber, D., Srivastava, P. K., and Bisht, D. C. From fuzzy transportation problem to non-linear intuitionistic fuzzy multi-objective transportation problem: A literature review. International Journal of Modelling and Simulation 41, 5 (2021), 335–350.
  • [11] Daneva, M., Larsson, T., Patriksson, M., and Rydergren, C. A comparison of feasible direction methods for the stochastic transportation problem. Computational Optimization and Applications 46, 3 (2010), 451–466.
  • [12] Das, S. K. Application of transportation problem under pentagonal neutrosophic environment. Journal of Fuzzy Extension & Applications 1, 1 (2020), 27–40.
  • [13] Das, S. K., Mandal, T., and Edalatpanah, S. A. A new approach for solving fully fuzzy linear fractional programming problems using the multi-objective linear programming. RAIRO-Operations Research 51, 1 (2017), 285–297.
  • [14] Ge, Y., and Ishii, H. Stochastic bottleneck transportation problem with flexible supply and demand quantity. Kybernetika 47, 4 (2011), 560–571.
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  • [16] Gupta, S., Ali, I., and Ahmed, A. Multi-choice multi-objective capacitated transportation problem—a case study of uncertain demand and supply. Journal of Statistics and Management Systems 21, 3 (2018), 467–491.
  • [17] Gupta, S., Ali, I., and Ahmed, A. An extended multi-objective capacitated transportation problem with mixed constraints in fuzzy environment. International Journal of Operational Research 37, 3 (2020), 345–376.
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  • [19] Kané, L., Diakité, M., Souleymane, K., Bado, H., Moussa, K., and Traoré, K. A new algorithm for fuzzy transportation problems with trapezoidal fuzzy numbers under fuzzy circumstances Journal of Fuzzy Extension and Applications (2021).
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  • [25] Nomani, M. A., Ali, I., and Ahmed, A. A new approach for solving multi-objective transportation problems. International Journal of Management Science and Engineering Management 12, 3 (2017), 165–173.
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  • [33] Wang, Q., Huang, Y., Kong, S., Ma, X., Liu, Y., Das, S., and Edalatpanah, S. A novel method for solving multiobjective linear programming problems with triangular neutrosophic numbers. Journal of Mathematics 2021 (2021).
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Uwagi
Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-805fc7fb-19e0-4883-9ce6-331cfea5540f
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