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The paper proposes a general approach of interaction between players or attributes. It generalizes the notion of interaction defined for players modeled by games, by considering functions defined on distributive lattices. A general definition of the interaction transform is provided, as well as the construction of operators establishing transforms between games, their Möbius transforms and their interaction indices.doi:10.1016/j.disc.2008.12.007 fatcat:b7qbm6c7r5d3jpmdyfxz7ysxj4