Grabisch, MichelMiranda Menéndez, PedroStepnicka, MartinNovák, VilémBodenhofer, Ulrich2023-06-202023-06-202007978-80-7368-386-3https://hdl.handle.net/20.500.14352/53170We investigate in this paper the set of k-additive capacities dominating a given capacity,which we call the k-additive core. We study its structure through achievable families, which play the role of maximal chains in the classical case (k = 1), and show that associated capacities are elements (possibly a vertex) of the k-additive core when the capacity is (k+1)-monotone. As a particular case, we study the set of k-additive belief functions dominating a belief function. The problem of finding all vertices of the k-additive core is still an open question.engbook parthttp://www.eusflat.org/restricted access515.1k-additive capacitycorebelief functionTopología1210 Topología