On the decomposition of Generalized Additive Independence models [article]

Michel Grabisch, Christophe Labreuche
2016 arXiv   pre-print
The GAI (Generalized Additive Independence) model proposed by Fishburn is a generalization of the additive utility model, which need not satisfy mutual preferential independence. Its great generality makes however its application and study difficult. We consider a significant subclass of GAI models, namely the discrete 2-additive GAI models, and provide for this class a decomposition into nonnegative monotone terms. This decomposition allows a reduction from exponential to quadratic complexity
more » ... n any optimization problem involving discrete 2-additive models, making them usable in practice.
arXiv:1601.05978v1 fatcat:2ker7vu33bc33ezsf5i2xfizzu