Multiobjective programming in optimization of the interval objective function

In this paper, the mathematical programming problem whose objective function has interval coefficients is investigated. To maximize the interval objective function, the order relations which represent the decision maker’s preference between interval profits are defined by the right limit, the left limit, the center and the width of an interval. The maximization problem with the interval objective function is converted into a multiobjective problem using the order relations. The minimization problem is also converted into a multiobjective problem using the order relations which represent the decision maker’s preference between interval costs.