Incorporating the Decision-Maker’s Preferences in the Goal Programming Model with Fuzzy Goal Values: A new Formulation

The goal programming model is probably the most known in mathematical programming with multiple objectives. Available in various versions, this model has been applied in much varied fields, It has also been the target of many criticisms among which are those related to the difficulty of determining precisely the goals as well as those concerning the decision-maker’s near absence in this modelling process. In the actual paper, we focus mainly on the explicit integration of the decision-maker in this model, especially when he may not express his goals in a precise way. To this end, we are building up with the help of the decision-maker his functions of satisfaction related to the type of deviation in accordance with each of his imprecise goals.