In the context of the binomial decomposition of OWA functions, we investigate the parametric constraints associated with the 3-additive case in n dimensions. The resulting feasible region in two coecients is a convex polygon with n vertices and n edges, and is strictly increasing in the dimension n. The orness of the OWA functions within the feasible region is linear in the two coecients, and the vertices associated with maximum and minimum orness are identied.
On the binomial decomposition of OWA functions, the 3-additive case in n dimensions
Bortot, Silvia;Marques Pereira, Ricardo Alberto;Nguyen, Hong Thuy
2015-01-01
Abstract
In the context of the binomial decomposition of OWA functions, we investigate the parametric constraints associated with the 3-additive case in n dimensions. The resulting feasible region in two coecients is a convex polygon with n vertices and n edges, and is strictly increasing in the dimension n. The orness of the OWA functions within the feasible region is linear in the two coecients, and the vertices associated with maximum and minimum orness are identied.File in questo prodotto:
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