Open AccessAn alternate method for finding an optimal solution to Mixed Type Transportation Problem under a Fuzzy Environment
Author(s) -
V. Vidhya,
P. Uma Maheswari,
K. Ganesan
Publication year - 2021
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/1130/1/012064
Subject(s) - fuzzy number , mathematical optimization , mathematics , fuzzy transportation , fuzzy logic , fuzzy set operations , defuzzification , parametric statistics , ranking (information retrieval) , parametric programming , fuzzy classification , algorithm , fuzzy set , computer science , artificial intelligence , statistics
In this paper, we develop a new algorithm for the initial fuzzy basic feasible solution to a transportation problem with imprecise parameters. All the decision variables are assumed to be triangular fuzzy numbers or trapezoidal fuzzy numbers or real numbers. By applying the efficient ranking function and arithmetic operations the solution is obtained without changing it into its crisp equivalent form. Using the parametric form of fuzzy numbers such as left fuzziness index, right fuzziness index, modal value and by using a proposed algorithm we obtained the initial basic fuzzy feasible solution to the problem. We further discuss the optimality by applying the modified distribution method. A numerical example is solved to show the effectiveness of the proposed algorithm.