Une approche maximin pour éliciter une intégrale de Gödel appliquée `a deux critères

The flexibility of the G¨odel integral as aggregation tool comes from its parameter, defined as a capacity. A crucial question is that of the choice of this parameter. This paper considers the case when two numerical criteria are to be aggregated and provides an elicitation protocol as an incremental algorithm called INES, which stands for Interactive Necessary Example Search. It allows to reduce progressively the uncertainty about the capacity, until it is possible to identify a necessary winner : the latter is an alternative that maximises the G¨odel integral value for all instantiations induced by the current capacity candidates.