This work presents the updating to the global economy context of the discrete multicriteria prioritization tool, based on the Analytic Hierarchy Process, which is known as PRIOR [1]. The new decisional tool (PRIOR-Web) allows, using the internet, the secure incorporation of the judgments of the spatially distributed actors implicated in the resolution process. Jointly with the previous treatment of uncertainty developed by means of interval judgment and preference structures, the inclusion of functionalities as the priority and consistency stability intervals, the consistency consensus matrix and group decision making options provide new information for the construction of agreement paths between the participants involved in any multiactor decision making problem. A numerical example is used for illustrating how this social software works.