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On the arity gap of aggregation functions

Couceiro, Miguel; Lehtonen, Erkko; Waldhauser, Tamás

Decision Theory: Qualitative and Quantitative Approaches, Johannes Kepler Universität, Linz, (2011), 25–28

We briefly survey earlier and recent results concerning the arity gap of functions, and present an explicit classification of aggregation functions according to their arity gap which is shown to be either 1 or 2.