On the structure of the k-additive fuzzy measures



Downloads per month over past year

Miranda Menéndez, Pedro and Combarro, Elías F. (2010) On the structure of the k-additive fuzzy measures. Fuzzy Sets and Systems, 161 (17). pp. 2314-2327. ISSN 0165-0114

[thumbnail of Miranda03.pdf] PDF
Restringido a Repository staff only


Official URL: http://www.sciencedirect.com/science/article/pii/S0165011410001351


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.

Item Type:Article
Uncontrolled Keywords:Fuzzy measures; k-Additive measures; Vertices
Subjects:Sciences > Mathematics > Topology
ID Code:16907
Deposited On:29 Oct 2012 10:08
Last Modified:26 Jul 2018 07:40

Origin of downloads

Repository Staff Only: item control page