Congruences and the discrete Sugeno integrals on bounded distributive lattices

Jozef P\'ocs; Radko Mesiar; Radom\'ir Hala\v{s}

arxiv: 1810.08545 · v1 · pith:7ZCBUPT6new · submitted 2018-10-09 · 🧮 math.RA

Congruences and the discrete Sugeno integrals on bounded distributive lattices

Radom\'ir Hala\v{s} , Radko Mesiar , Jozef P\'ocs This is my paper

classification 🧮 math.RA

keywords boundeddistributivecongruencesdiscreteintegralslatticessugenoaggregation

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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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Congruences and the discrete Sugeno integrals on bounded distributive lattices

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