MACBETH (Measuring Attractiveness by a Categorical Based Evaluation Technique) is an interactive approach that requires only qualitative judgements about differences to help a decision maker or a decision-advising group quantify the relative attractiveness of options. It employs an initial, interactive, questioning procedure that compares two elements at a time, requesting only a qualitative preference judgement.

As judgements are entered into the software, it automatically verifies their consistency. A numerical scale is generated that is entirely consistent with all the decision maker 's judgements. Through a similar process weights are generated for criteria.

The M-MACBETH software provides tools to facilitate:

• Complete model structuring
• Management of complex problems involving qualitative value scores and weights
• Interactive sensitivity and robustness analyses

the designers of MACBETH are:
Carlos Bana e Costa	Jean Marie De Corte	Jean-Claude Vansnick
Technical University of Lisbon and London School of Economics	University of Mons-Hainaut Belgium	University of Mons-Hainaut Belgium

Applications

• Strategic plan development
• Resource allocation
• Alternative site location comparison for major infrastructures
• Participative evaluation of social, economic and environmental impacts for major infrastructures
• Horizontal and vertical conflict resolution in the implementation of public policies.
• Cost, Benefit and risk analysis of projects and programs
• Performance evaluation for employees
• Performance evaluation for suppliers
• Public call for tendersí evaluation
• Development of risk models and scenario analysis