Title
On the decomposition of Generalized Additive Independence models.
Abstract
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 in any optimization problem involving discrete 2-additive models, making them usable in practice.
Year
Venue
Field
2016
arXiv: Discrete Mathematics
USable,Discrete mathematics,Applied mathematics,Exponential function,Quadratic complexity,Optimization problem,Monotone polygon,Generality,Mathematics
DocType
Volume
Citations 
Journal
abs/1601.05978
0
PageRank 
References 
Authors
0.34
9
2
Name
Order
Citations
PageRank
Michel Grabisch11955184.40
Christophe Labreuche270965.78