Abstract | ||
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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 |
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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 Grabisch | 1 | 1955 | 184.40 |
Christophe Labreuche | 2 | 709 | 65.78 |