Aggregation operators on bounded lattices
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Date
2021
Authors
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Journal ISSN
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Publisher
Faculty of Mathematics and Informatics - Department of Mathematics - Speciality : Algebra and Discrete Mathematics
Abstract
In this memoire, we show that the set An(L) of all n-ary aggregation
functions on a complete lattice L is a complete lattice and we study
some properties of this lattice. If L is a bounded lattice and n is a
natural number such that n ≠ 0, we obtain that Lm for m ∈ [n]
can be embedded into the lattice An(L). We generate aggregation
functions from monotone functions. We introduce the concept of
internal product of aggregation functions.We give some examples of
aggregation functions on bounded lattices.
Description
Keywords
Aggregation operators ; bounded lattices