%0 Journal Article
%A Miranda Menéndez, Pedro
%A Combarro, Elías F.
%T On the structure of the k-additive fuzzy measures
%D 2010
%@ 0165-0114
%U https://hdl.handle.net/20.500.14352/42364
%X In this paper we present some results concerning the vertices of the set of fuzzy measures being at most k-additive. We provide an algorithm to compute them. We give some examples of the results obtained with this algorithm and give lower bounds on the number of vertices for the (n - 1)-additive case, proving that it grows much faster than the number of vertices of the general fuzzy measures. The results in the paper suggest that the structure of k-additive measures might be more complex than expected from their definition and, in particular, that they are more complex than general fuzzy measures.
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