Interactive approach for fuzzy goal programming

The Goal Programming model is one of the most known models in the mathematical programming with conflictual objectives. The classical form of this model presents some weaknesses related to fixing precisely, aspiration levels for the goals. Besides the determination of such levels is made in a priori manner and does not involve the decision-maker in the modelling process, In the present paper. we propose a structured method Chat allows the decision-maker to express goals in an imprecise manner and provides him with a learning and interactive process to define progressively his preferences and find the best compromise solution. To hilight the proposed approach an example of ration formulation problem for dairy cows in Tunisia is treated.