Group Decision Making and Hierarchical Modelling

Abstract

The paper presents an original procedure for selection the global compromise scenario of the group decision making problem. The procedure can be divided into two steps. The first step is a typical hierarchical modelling based on the AHP. The result of this step is a matrix of the individual priorities of the scenarios for all the decision makers. For the second step the decision makers must specify their concordance and discordance thresholds that make it possible to derive an index of concordance of the i-th decision maker with the j-th scenario, and the global threshold that expresses a necessary majority to accept the given scenario as a candidate for the global compromise scenario. It is a procedure that derives a set of candidates for the global compromise scenario. By interactive changing of the thresholds it is possible to influence the number of the elements of the set of candidates and in this way to find the global compromise scenario.