FIRST INTERNATIONAL SYMPOSIUM ON
IMPRECISE PROBABILITIES AND THEIR APPLICATIONS

Ghent, Belgium
30 June - 2 July 1999

ELECTRONIC PROCEEDINGS

Michel Grabisch

Upper Approximation of Non-additive Measures by k-additive Measures --- The Case of Belief Functions

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 and sites:

Authors addresses:

Thomson-CSF, Corporate Research Laboratory
Domaine de Corbeville, 91404 Orsay Cedex, France

E-mail addresses:

Michel Grabisch michel.grabisch@lcr.thomson-csf.com


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