Using the Geometric Mean Method to Finding the Optimal Solution for the Unbalanced Fuzzy Assignment Problem with Practical Application

Abstract

In this paper، the study of the unbalanced fuzzy assignment problem was highlighted after selection of the first line of the Degla factory / Baghdad Soft Drinks Company as a field of application. This study focused on unbalanced case that is common in real life، as well as in the presence of a fuzzy environment and unprecision in data. In order to deal with fuzzy data، Mag-method was used to convert it into crisp data that is easy to understand and deal with in decision making. After obtaining the crisp data، Geometric Mean Method was applied to the data to obtain the optimal solution. In addition، a mathematical model of the problem was built and solved it using Spyder (version 3.3.5) Program based on Gurobi Optimizer Program functions and compare the results obtained from Geometric Mean Method with the results of the Spyder Program to determine the efficiency and effectiveness of this method in achieving optimization. One of the most important results was، to give the Geometric Mean Method efficient and effective in achieving optimization.