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Congruences and the discrete Sugeno integrals on bounded distributive lattices (1810.08545v1)
Published 9 Oct 2018 in math.RA
Abstract: We study compatible aggregation functions on a general bounded distributive lattice $L$, where the compatibility is related to the congruences on $L$. As a by-product, a new proof of an earlier result of G. Gr\"atzer is obtained. Moreover, our results yield a new characterization of discrete Sugeno integrals on bounded distributive lattices.
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