Study on the method for 2-D fuzzy bottleneck assignment problem

In this paper, we studied a kind of more practical bottleneck assignment problem under fuzzy environment, That is, the elements of profit matrix in the bottleneck assignment problem are fuzzy variables. To obtain a directive decision, we construct a mathematical model for the 2-dimensional fuzzy bottleneck assignment problem based on the programming in fuzzy environment. In addition, by using a method of ranking of fuzzy numbers, the problem can be converted into the general 2-dimensional bottleneck assignment problem which may be solved by dynamic programming algorithm. Finally a numerical example illustrates the proposed method.