Interval Goal Programming Approach to Multiobjective Programming Problems with Fuzzy Data Uncertainty

This paper presents interval goal programming approach for solving multiobjective programming problems with fuzzy parameter sets. In the proposed approach, the notion of interval approximation technique to fuzzy numbers is used to transform the objectives with interval parameter sets. In the model formulation, interval arithmetic is employed to convert the problem into the standard goal programming problem. In goal achievement function, both the modelling aspects in goal programming (GP), minsum GP and minmax GP are taken into account as a convex combination of them to minimize possible deviations from specified target intervals for goal achievements from optimistic point of view of decision maker (DM) in the decision situation. A numerical example is solved to illustrate the proposed approach.