Abstract
The transportation problem based on interval demand functions is formulated and analyzed. The fuzzy relation between an amount supplied and a market price is represented by the demand function which has interval coefficients. Therefore an objective function of the transportation problem is represented by an interval function. In this paper, the transportation problem with the interval objective function is formulated as a multi-objective quadratic integer programming problem which has two objective functions : maximize the right limit and the left limit of the interval objective function. A computational algorithm for obtaining a non-dominated solution set of this problem using a branch-and-bound method is proposed and a numerical example is shown.
