k-order additive fuzzy measures
A generalization of k-order additive discrete fuzzy measures recently introduced by Grabisch is shown, k-order additive fuzzy measures on general spaces are introduced. Connection of the proposed generalization with the general Mobius transform of Shafer is shown. General evaluation formula for the Choquet integral is given. Further generalizations concerning the type of applied arithmetics are proposed.
additivity mobius transform choquet integral k-order additive measure