Special cases of the tolerance approach in multiobjective linear programming

In this paper we deal with sensitivity analysis of the Multiobjective Linear Problem. We enlarge the range of meaningful regions of weights that can be handled easily from the tolerance approach point of view. The regions that we propose are important, because they represent the information that the decision maker is able to offer about the relationships between the importance of the different objectives, in terms of marginal substitution rates. Particularly, the well known interval, order and nonhomogeneous order relations are included. We also present an algorithm which reduces the computational effort, in order to get the maximum tolerance percentage. Several examples are included illustrating the results.