• OPTIMIZATION OF UNBALANCED TRAPEZOIDAL FUZZY ASSIGNMENT PROBLEM

Abstract

The existence of uncertainty is ubiquitous and it acts as a prime hurdle for the managerial people in decision making process.  The manufacturing sector is a combination of several activities involving multi functions. The ultimate aim of these sectors is to maximize the profit with minimum input which is possible only if suitable assignment of tasks is accomplished, which is a much challenging mission for them. The Hungarian method is the most common method used to determine the optimal solution to the problem of assignment if the data matrix contains crisp values. But to reflect the present imprecise situations, in this paper the data matrix is devised with trapezoidal fuzzy number values and different methods of ranking is applied to convert fuzzy data matrix to crisp data matrix to determine the optimal assignment.