OPTIMIZATION METHOD FOR TRAPEZOIDAL INTUITIONISTIC FUZZY TRANSPORTATION PROBLEMS
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Abstract
The objective of this research is to find a method for solving the trapezoidal intuitionistic fuzzy transportation problem, in which transportation costs are ambiguous or uncertain. The researcher has proposed a solution to the problem using the north-west corner method to find a basic feasible solution. Furthermore, the distribution method was used to check and improve transportation costs to a minimum. From the study results, it was found that the approach can produce appropriate and accurate solutions.
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Antony, R. J. P., Savarimuthu, S. J., & Pathinathan, T. (2014). Method for solving the transportation problem using triangular intuitionistic fuzzy number. International Journal of Computing Algorithm, 3(1), 590-605.
Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87-96.
Bellman, R. E., & Zadeh, L. A. (1970). Decision-making in a fuzzy environment. Management science, 17(4), 141-164.
De, P. K., & Das, D. (2012). Ranking of trapezoidal intuitionistic fuzzy numbers. In 2012 12th international conference on intelligent systems design and applications (ISDA) (pp. 184-188). IEEE.
Dubois, D. J. (1980). Fuzzy sets and systems: theory and applications (Vol. 144). Academic press.
Dubois, D., & Prade, H. (1978). Operations on fuzzy numbers. International Journal of systems science, 9(6), 613-626.
Hitchcock, F. L. (1941). The distribution of a product from several sources to numerous localities. Journal of mathematics and physics, 20(1-4), 224-230.
Hunwisai, D., & Kumam, P. (2017). A method for solving a fuzzy transportation problem via Robust ranking technique and ATM. COGENT mathematics, 4(1), 1283730.
Hussain, R. J., & Kumar, P. S. (2012). Algorithmic approach for solving intuitionistic fuzzy transportation problem. Applied mathematical sciences, 6(80), 3981-3989.
Kaur, A., & Kumar, A. (2012). A new approach for solving fuzzy transportation problems using generalized trapezoidal fuzzy numbers. Applied soft computing, 12(3), 1201-1213.
Li, D. F. (2014). Decision and game theory in management with intuitionistic fuzzy sets (Vol. 308, pp. 1-441). Berlin: springer.
Pramila, K., & Uthra, G. (2014). Optimal solution of an intuitionistic fuzzy transportation problem. Annals of Pure and Applied Mathematics, 8(2), 67-73.
Wu, J., & Cao, Q. W. (2013). Same families of geometric aggregation operators with intuitionistic trapezoidal fuzzy numbers. Applied Mathematical Modelling, 37(1-2), 318-327.
Zadeh, L. A. (1965). Fuzzy sets. Information and control, 8(3), 338-353.