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In a recent paper [9] we proposed the study of aggregation functions on lattices via clone theory approach. Observing that aggregation functions on lattices just correspond to 0,1-monotone clones, as the main result of [9], we have shown that all aggregation functions on a finite lattice L can be obtained as usual composition of lattice operations ∧, ∨, and certain unary and binary aggregation functions...
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