Congruences and the discrete Sugeno integrals on bounded distributive lattices
Rings and Algebras
2018-10-22 v1
Abstract
We study compatible aggregation functions on a general bounded distributive lattice , where the compatibility is related to the congruences on . 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.
Keywords
Cite
@article{arxiv.1810.08545,
title = {Congruences and the discrete Sugeno integrals on bounded distributive lattices},
author = {Radomír Halaš and Radko Mesiar and Jozef Pócs},
journal= {arXiv preprint arXiv:1810.08545},
year = {2018}
}
Comments
19 pages