Congruences and the discrete Sugeno integrals on bounded distributive lattices
arXiv:1810.08545 · doi:10.1016/j.ins.2016.06.017
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. Grätzer is obtained. Moreover, our results yield a new characterization of discrete Sugeno integrals on bounded distributive lattices.
19 pages