MOLP Problems with Interval Objective Functions Coe cients and Target Intervals

In many real-world situations, the parameters of decision-making prob-lems are not deterministic. In this context, it is convenient to extend the traditional mathematical programming models incorporating their uncertainty. One of the tools for tackling vagueness is interval program-ming in which every uncertain parameter is determined with a closed interval. Moreover, many real-world problems inherently impose the need to investigate multiple and con icting objective functions. This paper treats multiobjective linear programming problems with interval objective functions coe cients and target intervals. For solving such problems, based on goal programming methodology, a unique model is proposed. An example is illustrated to demonstrate the model.

Keywords:

Multiobjective linear programming , Interval programming , Goal programming