Browsing by Author "Bousekra, Imane"

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    Aggregation operators on bounded lattices
    (Faculty of Mathematics and Informatics - Department of Mathematics - Speciality : Algebra and Discrete Mathematics, 2021) Bousekra, Imane
    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.