MACBETH-An interactive path towards the construction of cardinal value functions

The application of classical models and techniques for cardinal measurement of values usually requires a person (D) to answer very difficult questions. The MACBETH approach, presented in this paper, proposes a simple questioning procedure to ‘drive’ the interactive quantification of values through pairwise verbal judgements of difference of attractiveness between valuable elements of a set A. Technically, MACBETH uses a chain of four linear programs for assigning numbers to the elements of set A based upon the qualitative judgements expressed by D and to reveal possible sources of incoherence. In practice, this information is to be used as a basis for discussion and learning. MACBETH stands for Measuring Attractiveness by a Categorical Based Evaluation TecHnique.