On generation of aggregation functions on infinite lattices. (English) Zbl 1418.06002

Summary: We describe supremum-dense subsets of aggregation functions, which are defined on infinite complete lattices. Also some restriction on the size of a generating set with respect to number of arguments involved in a generating process is discussed.


06B05 Structure theory of lattices
06A15 Galois correspondences, closure operators (in relation to ordered sets)
03E75 Applications of set theory
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