Value and Interaction Indices

© 2020, Springer Nature Switzerland AG. Fuzzy measures map each subset of a given set to a weight or importance, which allows for the modelling of complementary or redundant relationships between variables. The greater flexibility afforded, however gives rise to the problem of interpretation. Fortunately, this problem has received a great deal of attention in the context of aggregation and multicriteria decision making. This chapter presents the various indices that have been proposed for interpreting fuzzy measures, some of which lead to alternative representations that can be used to model requirements in various contexts.