Abstract
In this paper we give a general necessary condition for a non-additive measure to be dominated by a k-additive measure. The dominating measure is seen as a kinear transformation of the original measure. We investigate some algebraic properties of these transformations, and study the case of belief functions. non
Keywords. non-additive measure, fuzzy measure, k-additive measure, belief function, upper approximation
The paper is available in the following formats:
Authors addresses:Thomson-CSF, Corporate Research Laboratory
E-mail addresses:
Michel Grabisch | michel.grabisch@lcr.thomson-csf.com |