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Abstrakty
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.
Czasopismo
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Tom
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1--15
Opis fizyczny
Bibliogr. 34 poz.
Twórcy
autor
- 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.
- [4] Atanassov, K. T. Intuitionistic fuzzy sets. Fuzzy Sets Systems 20, 1 (1986), 87–96.
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- [6] Behera, D., Peters, K., and Edalatpanah, S. A. Alternative methods for linear programming problem under triangular fuzzy uncertainty. Journal of Statistics and Management Systems 25, 3 (2022), 521–539.
- [7] Bellman, R. E., and Zadeh, L. A. Decision-making in a fuzzy environment. Management science 17, 4 (1970), B–141–B–164.
- [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.
- [9] Chanas, S., and Kuchta, D. A concept of the optimal solution of the transportation problem with fuzzy cost coefficients. Fuzzy Sets and Systems 82, 3 (1996), 299–305.
- [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.
- [15] Goczyła, K., and Cielątkowski, J. Optimal routing in a transportation network. European Journal of Operational Research 87, 2 (1995), 214–222.
- [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.
- [18] Hitchcock, F. L. The distribution of a product from several sources to numerous localities. Journal of Mathematics and Physics 20, 1-4 (1941), 224–230.
- [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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- [21] Liu, S.-T., and Kao, C. Solving fuzzy transportation problems based on extension principle. European Journal of Operational Research 153, 3 (2004), 661–674.
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- [24] Najafi, H. S., Edalatpanah, S., and Dutta, H. A nonlinear model for fully fuzzy linear programming with fully unrestricted variables and parameters. Alexandria Engineering Journal 55, 3 (2016), 2589–2595.
- [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.
- [26] Pratihar, J., Kumar, R., Edalatpanah, S. A., and Dey, A. Modified Vogel’s approximation method for transportation problem under uncertain environment. Complex & Intelligent Systems 7, 1 (2021), 29–40.
- [27] Rani, D., and Gulati, T. R. A new approach to solve unbalanced transportation problems in imprecise environment. Journal of Transportation Security 7, 3 (2014), 277–287.
- [28] Roy, S. K., Midya, S., and Weber, G.-W. Multi-objective multi-item fixed-charge solid transportation problem under twofold uncertainty. Neural Computing and Applications 31, 12 (2019), 8593–8613.
- [29] Shetty, C. M. A solution to the transportation problem with nonlinear costs. Operations Research 7, 5 (1959), 571–580.
- [30] Singh, S. K., and Yadav, S. P. Intuitionistic fuzzy multi-objective linear programming problem with various membership functions. Annals of Operations Research 269, 1 (2018), 693–707.
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- [32] Uddin, M. S., Miah, M., Khan, M. A.-A., and AlArjani, A. Goal programming tactic for uncertain multi-objective transportation problem using fuzzy linear membership function. Alexandria Engineering Journal 60, 2 (2021), 2525–2533.
- [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