Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6872646 | Discrete Applied Mathematics | 2012 | 12 Pages |
Abstract
Given a capacity, the set of dominating k-additive capacities is a convex polytope called the k-additive monotone core; thus, it is defined by its vertices. In this paper, we deal with the problem of deriving a procedure to obtain such vertices in the line of the results of Shapley and Ichiishi for the additive case. We propose an algorithm to determine the vertices of the n-additive monotone core and we explore the possible translations for the k-additive case.
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Pedro Miranda, Michel Grabisch,